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1.
Guzzo, Sandro Marcos.
Estudo de equações do tipo Navier-Stokes com retardo.
Degree: PhD, Matemática, 2009, University of São Paulo
URL: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01092009-105829/ 
;
► Neste trabalho estudamos a existência de soluções de equações do tipo Navier-Stokes com retardo na força externa e no termo n~ao linear. Usando a teoria…
(more)
▼ Neste trabalho estudamos a existência de soluções de equações do tipo Navier-Stokes com retardo na força externa e no termo n~ao linear. Usando a teoria de semigrupos estudamos a existência de soluções para um problema da forma \'d. SUP. dt u(t) - v\'delta\'u(t) + (F(t, \'u IND.t\'). abla)u(t) + abla p = g(t, \'u IND.t\'), em \'OMEGAx́ (0, T), div u(t) = 0 em \'OMEGAx́ (0, T), u(0, x) = \'u POT.0 (x) x PERTENCE a ÓMEGA\', u(t, x) = 0 t > 0, X \'PERTENCE A\́' PARTIAL\́'OMEGA\', u(t, x) =\φ (t, x) t \'PERTENCE A(́- \'INFINITO\', 0) x \'PERTENCE A\́'OMEGA\', onde F9t, \'uIND.t) = INT.IND.t SUP. -ÍNFINITO\́' ALFA1(s-t)u(s)ds + u(t-r), g(t, \'u IND.t\') = INT. SUP. t IND. - INFINITO \'BETA(́s-t)u(s)ds. Similarmente, usando a tecnica de aproximac~oes de Galerkin, estudamos o problema anterior com F(.) e g(.) dadas por f(t; \'u INDS.t\') = u(t-r(t)); e g(t; \'u IND.t\') = G(u(t-\'rô(́t))), para alguma função G apropriada. Neste caso, também estudamos a estabilidade de soluções estacionarias
In this work we stuy the existence of solutions for a Navier-Stokes typt equations with delay in the external force and in the nonlinear term. Using the semi-group theory we study the existence of solution for a problem in the form \'d. SUP. dt u(t) - v\'delta\'u(t) + (F(t, \'u IND.t\'). abla)u(t) + abla p = g(t, \'u IND.t\'), ijn \'OMEGAx́ (0, T), div u(t) = 0 in \'OMEGAx́ (0, T), u(0, x) = \'u POT.0 (x) x \'IT BELONGS ÓMEGA\', u(t, x) = 0 t > 0, X \'IT BELONGS\́'PARTIAL\́'OMEGA\', u(t, x) =\φ (t, x) t \'IT BELONGS(́- \'INFINITY\', 0) x \'IT BELONGS\́'OMEGA\', where F(t, \'u .t) = INT.IND.t SUP. -ÍNFINITY\́' ALFA(s-t)u(s)ds + u(t-r), g(t, \'u IND.t\') = INT. SUP. t IND. - INFINITY \'BETA(́s-t)u(s)ds. On another hand using the Galerkin appreoximations method we study the same with F(.) e g(.) given by f(t; \'u INDS.t\') = u(t-r(t)); and g(t; \'u IND.t\') = G(u(t-\'rô(́t))), for some G appropriated. In thiis case, we study also the stability of stanionary solutions
Advisors/Committee Members: Morales, Eduardo Alex Hernandez, Planas, Gabriela Del Valle.
Subjects/Keywords: Delay; Equações de Navier-Stokes; Navier-Stokes equations; Retardo
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APA (6th Edition):
Guzzo, S. M. (2009). Estudo de equações do tipo Navier-Stokes com retardo. (Doctoral Dissertation). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01092009-105829/ ;
Chicago Manual of Style (16th Edition):
Guzzo, Sandro Marcos. “Estudo de equações do tipo Navier-Stokes com retardo.” 2009. Doctoral Dissertation, University of São Paulo. Accessed January 21, 2021.
http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01092009-105829/ ;.
MLA Handbook (7th Edition):
Guzzo, Sandro Marcos. “Estudo de equações do tipo Navier-Stokes com retardo.” 2009. Web. 21 Jan 2021.
Vancouver:
Guzzo SM. Estudo de equações do tipo Navier-Stokes com retardo. [Internet] [Doctoral dissertation]. University of São Paulo; 2009. [cited 2021 Jan 21].
Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01092009-105829/ ;.
Council of Science Editors:
Guzzo SM. Estudo de equações do tipo Navier-Stokes com retardo. [Doctoral Dissertation]. University of São Paulo; 2009. Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01092009-105829/ ;
Universidad de Chile
2.
Montoya Zambrano, Cristhian David.
Inverse source problems and controllability for the stokes and navier-stokes equations.
Degree: 2016, Universidad de Chile
URL: http://repositorio.uchile.cl/handle/2250/141346
► This thesis is focused on the Navier{Stokes system for incompressible uids with either Dirichlet or nonlinear Navier{slip boundary conditions. For these systems, we exploit some…
(more)
▼ This thesis is focused on the Navier{Stokes system for incompressible
uids with either
Dirichlet or nonlinear Navier{slip boundary conditions. For these systems, we exploit some
ideas in the context of the control theory and inverse source problems. The thesis is divided
in three parts.
In the rst part, we deal with the local null controllability for the Navier{Stokes system
with nonlinear Navier{slip conditions, where the internal controls have one vanishing component.
The novelty of the boundary conditions and the new estimates with respect to the
pressure term, has allowed us to extend previous results on controllability for the Navier{
Stokes system. The main ingredients to build our result are the following: a new regularity
result for the linearized system around the origin, and a suitable Carleman inequality for the
adjoint system associated to the linearized system. Finally, xed point arguments are used
in order to conclude the proof.
In the second part, we deal with an inverse source problem for the N- dimensional Stokes
system from local and missing velocity measurements. More precisely, our main result establishes
a reconstruction formula for the source F(x; t) = (t)f(x) from local observations of
N ����� 1 components of the velocity. We consider that f(x) is an unknown vectorial function,
meanwhile (t) is known. As a consequence, the uniqueness is achieved for f(x) in a suitable
Sobolev space. The main tools are the following: connection between null controllability and
inverse problems throughout a result on null controllability for the N- dimensional Stokes
system with N ����� 1 scalar controls, spectral analysis of the Stokes operator and Volterra integral
equations. We also implement this result and present several numerical experiments
that show the feasibility of the proposed recovering formula.
Finally, the last chapter of the thesis presents a partial result of stability for the Stokes
system when we consider a source F(x; t) = R(x; t)g(x), where R(x; t) is a known vectorial
function and g(x) is unknown. This result involves the Bukhgeim-Klibanov method for
solving inverse problems and some topics in degenerate Sobolev spaces.
Subjects/Keywords: Ecuaciones de Navier-stokes; Problemas inversos (Ecuaciones diferenciales); Navier stokes system
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APA (6th Edition):
Montoya Zambrano, C. D. (2016). Inverse source problems and controllability for the stokes and navier-stokes equations. (Thesis). Universidad de Chile. Retrieved from http://repositorio.uchile.cl/handle/2250/141346
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Montoya Zambrano, Cristhian David. “Inverse source problems and controllability for the stokes and navier-stokes equations.” 2016. Thesis, Universidad de Chile. Accessed January 21, 2021.
http://repositorio.uchile.cl/handle/2250/141346.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Montoya Zambrano, Cristhian David. “Inverse source problems and controllability for the stokes and navier-stokes equations.” 2016. Web. 21 Jan 2021.
Vancouver:
Montoya Zambrano CD. Inverse source problems and controllability for the stokes and navier-stokes equations. [Internet] [Thesis]. Universidad de Chile; 2016. [cited 2021 Jan 21].
Available from: http://repositorio.uchile.cl/handle/2250/141346.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Montoya Zambrano CD. Inverse source problems and controllability for the stokes and navier-stokes equations. [Thesis]. Universidad de Chile; 2016. Available from: http://repositorio.uchile.cl/handle/2250/141346
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
3.
Suárez Grau, Francisco Javier.
Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas.
Degree: 2011, Universidad de Sevilla
URL: http://hdl.handle.net/11441/15693
► Un problema importante en mecánica de fluidos consiste en la elección adecuada de las condiciones de frontera. Una hipótesis comúnmente aceptada es que si la…
(more)
▼ Un problema importante en mecánica
de fluidos consiste en la elección adecuada
de las condiciones
de frontera. Una hipótesis comúnmente aceptada es que si la frontera del dominio es impermeable entonces un fluido viscoso se adhiere completamente a ella. Esta hipótesis se usa habitualmente en diferentes estudios teóricos así como en experimentos numéricos. Suponiendo que u = u(x) es la velocidad del fluido en x ∈ Ω ⊂ R3, la completa adherencia (
o condición
de no deslizamiento) se escribe u(x) = 0 sobre x ∈ ∂Ω.
(1)La hipótesis
de completa adherencia no fue siempre aceptada en el pasado ya que la mayoría
de los efectos
de una frontera rugosa en fluidos viscosos no pueden ser descritos en detalle usando esta condición. Por ello,
Navier propuso una condición frontera
de desliza-miento con fricción. Suponiendo la frontera impermeable está claro que la componente normal
de la velocidad debe ser nula. A esta condición se añade la ecuación correspon¬diente al equlibrio
de fuerzas pero escrita solamente para la componente tangencial. Para fluidos gobernados por las ecuaciones
de Stokes o de Navier-
Stokes la condición
de Navier o condición
de deslizamiento viene dada por u • ν =0, T(∂u/∂ν − pν + γu)= 0 sobre ∂Ω, (2) donde p es la presión, ν el vector normal unitario exterior a ∂Ω, T la proyección ortogonal sobre el espacio tangente a ∂Ωy γ ≥ 0 es el coeficiente
de fricción. Esta condición ofrece más libertad y parece proporcionar soluciones físicamente más aceptables ya que refleja la interacción entre el fluido y la frontera
de Ω. Teniendo en cuenta que pν es ortogonal al espacio tangente a ∂Ω, la segunda ecuación
de (2) es equivalente a T ( ∂u/∂ν + γu)=0, (3) y por tanto la condición
de Navier o condición
de deslizamiento se puede también escribir como u • ν =0, ∂u /∂ν + γu proporcional a ν sobre ∂Ω. (4) Ha habido diversos intentos en la literatura
de proporcionar una rigurosa justificación
de la condición
de adherencia. Para ello, suponiendo un fluido gobernado por un sistema
de Stokes o de Navier-
Stokes en un dominio suficientemente rugoso Ωε, donde el parámetroε corresponde a la amplitud
de las rugosidades (como una aproximación oscilante del dominio ideal Ω), y verificando la condición
de deslizamiento sobre la frontera rugosa Γε, se puede probar que en el límite cuando ε tiende a cero, la solución satisface la condición
de adheren¬cia (1). Es decir, se puede probar que las condiciones
de deslizamiento sobre una superficie rugosa se transforman asintóticamente en condiciones
de adherencia cuando la amplitud
de las rugosidades tienden a cero, suponiendo que la energía
de las soluciones está uniforme¬mente acotada y que hay suficiente rugosidad en la frontera oscilante. Desde un punto
de vista físico, esto justifica matemáticamente que se suela imponer la condición
de adherencia para fluidos viscosos. La anterior afirmación fue probada en [22] para un fluido tridimensional con una frontera descrita por la ecuación x3 = −εΨ (x1/ε, x2/ε) ∀(x1,x2) ∈ ω, (5) donde ω un conjunto abierto acotado
de R2 y Ψ una función…
Advisors/Committee Members: Luna Laynez, Manuel (advisor), Casado Díaz, Juan (advisor), Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico (affiliation).
Subjects/Keywords: Fluidos, Mecánica de; Navier-Stokes; Ecuaciones
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APA ·
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Manager
APA (6th Edition):
Suárez Grau, F. J. (2011). Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas. (Thesis). Universidad de Sevilla. Retrieved from http://hdl.handle.net/11441/15693
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Suárez Grau, Francisco Javier. “Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas.” 2011. Thesis, Universidad de Sevilla. Accessed January 21, 2021.
http://hdl.handle.net/11441/15693.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Suárez Grau, Francisco Javier. “Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas.” 2011. Web. 21 Jan 2021.
Vancouver:
Suárez Grau FJ. Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas. [Internet] [Thesis]. Universidad de Sevilla; 2011. [cited 2021 Jan 21].
Available from: http://hdl.handle.net/11441/15693.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Suárez Grau FJ. Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas. [Thesis]. Universidad de Sevilla; 2011. Available from: http://hdl.handle.net/11441/15693
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Université de Grenoble
4.
Cherel, David.
Décomposition de domaine pour des systèmes issus des équations de Navier-Stokes : Domain decomposition for systems deriving from Navier-Stokes equations.
Degree: Docteur es, Mathématiques Appliquées, 2012, Université de Grenoble
URL: http://www.theses.fr/2012GRENM109
► Les équations fondamentales décrivant la dynamique de l'océan sont en théorie les équations de Navier-Stokes sur une sphère en rotation, auxquelles il faut a jouter…
(more)
▼ Les équations fondamentales décrivant la dynamique de l'océan sont en théorie les équations de Navier-Stokes sur une sphère en rotation, auxquelles il faut a jouter une équation d'état pour la densité, et des équations de transport-diffusion pour les traceurs. Toutefois, un certain nombre de considérations physiques et de limitations pratiques ont nécessité le développement de modèles plus simples. En effet, un certain nombre d'hypothèses simplificatrices sont pleinement justifiées du point de vue de la physique des mouvements océaniques, dont les principales sont les approximations de couche mince et de Boussinesq. D'autre part, étant donné les dimensions des bassins océaniques (plusieurs centaines à plusieurs milliers de kilomètres), les coûts de calculs sont un facteur pratique extrêmement limitant. On est, à l'heure actuelle, capable de simuler l'océan mondial avec une résolution de l'ordre de dix kilomètres, en utilisant des modèles dits aux équations primitives, dont le coût de calcul est bien inférieur à celui des équations de Navier-Stokes. On est donc bien loin d'une modélisation complète des phénomènes décrits par ces équations, qui nécessiterait en théorie de considérer des échelles de l'ordre du millimètre. Les équations primitives sont issues des équations complètes de la mécanique des fluides en effectuant l'approximation hydrostatique, justifiée par la faible profondeur des domaines considérés au regard de leur dimension horizontale. Dans cette thèse, nous considérerons les équations de Navier-Stokes (NS) qui sont le coeur du modèle complet évoqué ci-dessus, sans prendre en compte les équations de la densité et des traceurs (salinité, température, etc.). Nous utiliserons l'approximation hydrostatique dans le chapitre 10, et le modèle sera naturellement appelé Navier-Stokes hydrostatique (NSH). Il correspond aux équations primitives dans lesquelles on ne prendrait pas en compte la densité et les traceurs. C'est dans ce cadre que se situe le travail présenté dans cette thèse, avec l'objectif à moyen terme de pouvoir coupler de façon rigoureuse et efficace les équations de Navier-Stokes avec les équations primitives. Dans une première partie, on présentera quelques rappels sur les équations de Navier-Stokes, leur discrétisation, ainsi que le cas-test de la cavité entraînée qui sera utilisé dans tout ce document. Dans une deuxième partie, on met en œuvre les méthodes de Schwarz sur les équations de Stokes et Navier-Stokes, en dérivant notamment des conditions absorbantes exactes et approchées pour ces systèmes. Enfin, dans une troisième partie, on proposera des pistes vers le couplage Navier-Stokes/Navier-Stokes hydrostatique décrit ci-dessus.
Fundamental equations describing the ocean dynamic are theoretically Navier-Stokes equations over a rotating sphere, whom need to add a state equation for the fluid density, and advection-diffusion equations for tracers. However, some physical considerations and practical limitations required to developped more simple models. Indeed, some simplifying hypotheses are well…
Advisors/Committee Members: Blayo, Éric (thesis director), Rousseau, Antoine (thesis director).
Subjects/Keywords: Décomposition de domaines; Équations de Navier-Stokes; Équations de Navier-Stokes hydrostatiques; Équations d'Oseen; Domain decomposition; Navier-Stokes equations; Hydrostatic Navier-Stokes equations; Oseen equations; 510
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APA ·
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MLA ·
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to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Cherel, D. (2012). Décomposition de domaine pour des systèmes issus des équations de Navier-Stokes : Domain decomposition for systems deriving from Navier-Stokes equations. (Doctoral Dissertation). Université de Grenoble. Retrieved from http://www.theses.fr/2012GRENM109
Chicago Manual of Style (16th Edition):
Cherel, David. “Décomposition de domaine pour des systèmes issus des équations de Navier-Stokes : Domain decomposition for systems deriving from Navier-Stokes equations.” 2012. Doctoral Dissertation, Université de Grenoble. Accessed January 21, 2021.
http://www.theses.fr/2012GRENM109.
MLA Handbook (7th Edition):
Cherel, David. “Décomposition de domaine pour des systèmes issus des équations de Navier-Stokes : Domain decomposition for systems deriving from Navier-Stokes equations.” 2012. Web. 21 Jan 2021.
Vancouver:
Cherel D. Décomposition de domaine pour des systèmes issus des équations de Navier-Stokes : Domain decomposition for systems deriving from Navier-Stokes equations. [Internet] [Doctoral dissertation]. Université de Grenoble; 2012. [cited 2021 Jan 21].
Available from: http://www.theses.fr/2012GRENM109.
Council of Science Editors:
Cherel D. Décomposition de domaine pour des systèmes issus des équations de Navier-Stokes : Domain decomposition for systems deriving from Navier-Stokes equations. [Doctoral Dissertation]. Université de Grenoble; 2012. Available from: http://www.theses.fr/2012GRENM109
Universidade do Rio Grande do Sul
5.
Domínguez Rodríguez, Jorge Luis.
Um problema relacionado à equação de Stokes em domínios de Lipschitz.
Degree: 2010, Universidade do Rio Grande do Sul
URL: http://hdl.handle.net/10183/26858
► Um problema auxiliar crucial à análise do problema de Stokes Compressível é estudado via a técnica de potenciais de camada dupla em regiões Lipschitz através…
(more)
▼ Um problema auxiliar crucial à análise do problema de Stokes Compressível é estudado via a técnica de potenciais de camada dupla em regiões Lipschitz através de um método primeiro utilizado por Verchota e subseqüentemente estendido ao caso parabólico por Brown e Shen. Desse modo, mediante a utilização e cálculo da condição de salto na fronteira é possível estabelecer a existência e unicidade da solução em apropriados espaços funcionais via o estudo de potenciais de camada.
An auxiliary problem crucial to the analysis of the compressible Stokes problem is studied by means of the technique of double layer in Lipschitz regions through a method first used by Verchota and subsequently extended to the parabolic case by Brown and Shen. In this way through the use and calculation of the boundary jump condition it is possible to establish the existence and unicity of the solution in appropriate function spaces via the study of boundary layer potentials.
Advisors/Committee Members: Thompson, Mark.
Subjects/Keywords: Equações de Navier-Stokes; Navier stokes equation; Compressible fluids; Fluidos compressíveis; Layer potential
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APA (6th Edition):
Domínguez Rodríguez, J. L. (2010). Um problema relacionado à equação de Stokes em domínios de Lipschitz. (Thesis). Universidade do Rio Grande do Sul. Retrieved from http://hdl.handle.net/10183/26858
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Domínguez Rodríguez, Jorge Luis. “Um problema relacionado à equação de Stokes em domínios de Lipschitz.” 2010. Thesis, Universidade do Rio Grande do Sul. Accessed January 21, 2021.
http://hdl.handle.net/10183/26858.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Domínguez Rodríguez, Jorge Luis. “Um problema relacionado à equação de Stokes em domínios de Lipschitz.” 2010. Web. 21 Jan 2021.
Vancouver:
Domínguez Rodríguez JL. Um problema relacionado à equação de Stokes em domínios de Lipschitz. [Internet] [Thesis]. Universidade do Rio Grande do Sul; 2010. [cited 2021 Jan 21].
Available from: http://hdl.handle.net/10183/26858.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Domínguez Rodríguez JL. Um problema relacionado à equação de Stokes em domínios de Lipschitz. [Thesis]. Universidade do Rio Grande do Sul; 2010. Available from: http://hdl.handle.net/10183/26858
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
6.
Pushkarev, Andrey.
Self-organization of isotopic and drift-ware turbulence : Visual Servoing for Vertical Take-Off and Landing Unmanned Aerial Vehicles.
Degree: Docteur es, Mécanique, 2013, Ecully, Ecole centrale de Lyon
URL: http://www.theses.fr/2013ECDL0057
► Pas de résumé
In order to give a general statistical description of turbulence, one tries to identify universal statistical features, common to a wider class…
(more)
▼ Pas de résumé
In order to give a general statistical description of turbulence, one tries to identify universal statistical features, common to a wider class of turbulent flows. In 1988, Kraichnan and Panda discovered one such possibly universal feature, namely, the fact that Navier-Stokes turbulence tends to reduce the strength of the nonlinearity in its governing equations. In the flrst part of the manuscript we consider the strength of the nonlinear term and, more precisely, of its fluctuations in isotropic turbulence. In order to measure this strength, we compare to the case of a flow fleld with the same energy distribution where the modes are statistically independent, as is the case in Gaussian noise. It is shown that the turbulent flow self-organizes towards a state in which the nonlinearity is reduced, and it is discussed what the implications of this reduction are. Also, in two dimensions it is illustrated how this self-organization manifests itself through the appearance of well-deflned vortical flow structures. In the second part of the manuscript, we investigate the dynamics of the Hasegawa- Wakatani model, a model relevant in the study of magnetically conflned fusion plasmas. The two-dimensional version of this model is considered, which includes some key features of the turbulent dynamics of a tokamak-edge. We consider the limit of the model in which the nonlinearity is reduced with respect to the linear forces. For this weakly nonlinear, wave dominated regime, analytical predictions suggest the presence of a feedback loop in which energy is transferred to highly anisotropic zonal flows by nonlocal interactions. We confirm these predictions and we demonstrate a strong suppression of the turbulent radial particle flux. In wall bounded geometry, the same mechanism is observed and here also the flux is eflciently reduced by the turbulence-zonal flow interaction.
Advisors/Committee Members: Bos, Wouter (thesis director).
Subjects/Keywords: Turbulence; Equations de Navier-Stokes; Turbulent flows; Navier-Stokes; Drift-wave turbulence
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APA ·
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Manager
APA (6th Edition):
Pushkarev, A. (2013). Self-organization of isotopic and drift-ware turbulence : Visual Servoing for Vertical Take-Off and Landing Unmanned Aerial Vehicles. (Doctoral Dissertation). Ecully, Ecole centrale de Lyon. Retrieved from http://www.theses.fr/2013ECDL0057
Chicago Manual of Style (16th Edition):
Pushkarev, Andrey. “Self-organization of isotopic and drift-ware turbulence : Visual Servoing for Vertical Take-Off and Landing Unmanned Aerial Vehicles.” 2013. Doctoral Dissertation, Ecully, Ecole centrale de Lyon. Accessed January 21, 2021.
http://www.theses.fr/2013ECDL0057.
MLA Handbook (7th Edition):
Pushkarev, Andrey. “Self-organization of isotopic and drift-ware turbulence : Visual Servoing for Vertical Take-Off and Landing Unmanned Aerial Vehicles.” 2013. Web. 21 Jan 2021.
Vancouver:
Pushkarev A. Self-organization of isotopic and drift-ware turbulence : Visual Servoing for Vertical Take-Off and Landing Unmanned Aerial Vehicles. [Internet] [Doctoral dissertation]. Ecully, Ecole centrale de Lyon; 2013. [cited 2021 Jan 21].
Available from: http://www.theses.fr/2013ECDL0057.
Council of Science Editors:
Pushkarev A. Self-organization of isotopic and drift-ware turbulence : Visual Servoing for Vertical Take-Off and Landing Unmanned Aerial Vehicles. [Doctoral Dissertation]. Ecully, Ecole centrale de Lyon; 2013. Available from: http://www.theses.fr/2013ECDL0057
7.
Debue, Paul.
Experimental approach to the problem of the Navier-Stokes singularities : Approche expérimentale du problème des singularités de Navier-Stokes.
Degree: Docteur es, Physique, 2019, Université Paris-Saclay (ComUE)
URL: http://www.theses.fr/2019SACLS305
► L’objectif de cette thèse est de chercher, dans un écoulement turbulent réel, d'éventuelles traces des singularités que pourraient développer les solutions des équations d'Euler ou…
(more)
▼ L’objectif de cette thèse est de chercher, dans un écoulement turbulent réel, d'éventuelles traces des singularités que pourraient développer les solutions des équations d'Euler ou de Navier-Stokes incompressibles 3D. En effet, la question de leur régularité mathématique est toujours ouverte. Dans cette thèse, on postule l'existence de singularités dans les équations d'Euler ou de Navier-Stokes, et on cherche des traces de ces singularités dans des champs de vitesse 3D mesurés dans un écoulement turbulent tourbillonnaire modèle, l'écoulement de von Kármán. La répartition de ces possibles empreintes de singularités, la structure de l'écoulement en leur voisinage ainsi que leur évolution temporelle sont étudiées. Nous nous appuyons sur le travail des mathématiciens Duchon et Robert pour chercher des traces de singularités et cherchons des valeurs extrêmes du terme de Duchon-Robert calculé à toute petite échelle, c’est-à-dire dans la zone dissipative : c’est ce que l’on appelle « traces de singularités ». Nous calculons le terme de Duchon-Robert à partir de champs de vitesse obtenus expérimentalement au centre d’un écoulement de von Kármán turbulent. Les champs de vitesse sont mesurés par vélocimétrie par image de particules tomographique (TPIV), résolue en temps ou non. Dans un premier temps, nous analysons les statistiques du terme de Duchon-Robert échelle par échelle et les comparons à celles de la dissipation visqueuse et à celles du terme de transfert inter-échelles apparaissant dans les équations LES. Dans un deuxième temps, nous analysons la topologie du champ de vitesse autour des événements extrêmes du terme de Duchon-Robert d'abord à partir des invariants du gradient de la vitesse puis par observation directe des champs de vitesse. Dans un troisième temps, nous présentons les résultats préliminaires d’une étude eulérienne de l’évolution temporelle des événements extrêmes du terme de Duchon-Robert.
This thesis is devoted to the experimental search for prints of the singularities that might occur in the solutions of the 3D incompressible Euler or Navier-Stokes equations. Indeed, the existence of solutions to these partial differential equations has been proven but it is still unknown whether these solutions are regular, i.e. whether they blow up in finite time or not. In this thesis, we postulate the existence of such singularities and look for prints of them in 3D velocity fields acquired experimentally in a turbulent swirling flow. The distribution, 3D structure and time evolution of these prints are detailed. Our detection of prints of possible singularities is based on the work of the mathematicists Duchon and Robert. We look for extreme values of the Duchon-Robert term at small scales, i.e. in the dissipative range. That is what we call prints of singularities. We compute the Duchon-Robert term on velocity fields which are acquired experimentally at the center of a von Kármán turbulent swirling flow. The velocity field is measured by tomographic particle image velocimetry (TPIV), either time-resolved or…
Advisors/Committee Members: Daviaud, François (thesis director), Dubrulle, Bérengère (thesis director).
Subjects/Keywords: Turbulence; Navier-Stokes; Anomalie de dissipation; Singularités; TPIV; Turbulence; Navier-Stokes; Dissipation anomaly; Singularities; TPIV
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APA (6th Edition):
Debue, P. (2019). Experimental approach to the problem of the Navier-Stokes singularities : Approche expérimentale du problème des singularités de Navier-Stokes. (Doctoral Dissertation). Université Paris-Saclay (ComUE). Retrieved from http://www.theses.fr/2019SACLS305
Chicago Manual of Style (16th Edition):
Debue, Paul. “Experimental approach to the problem of the Navier-Stokes singularities : Approche expérimentale du problème des singularités de Navier-Stokes.” 2019. Doctoral Dissertation, Université Paris-Saclay (ComUE). Accessed January 21, 2021.
http://www.theses.fr/2019SACLS305.
MLA Handbook (7th Edition):
Debue, Paul. “Experimental approach to the problem of the Navier-Stokes singularities : Approche expérimentale du problème des singularités de Navier-Stokes.” 2019. Web. 21 Jan 2021.
Vancouver:
Debue P. Experimental approach to the problem of the Navier-Stokes singularities : Approche expérimentale du problème des singularités de Navier-Stokes. [Internet] [Doctoral dissertation]. Université Paris-Saclay (ComUE); 2019. [cited 2021 Jan 21].
Available from: http://www.theses.fr/2019SACLS305.
Council of Science Editors:
Debue P. Experimental approach to the problem of the Navier-Stokes singularities : Approche expérimentale du problème des singularités de Navier-Stokes. [Doctoral Dissertation]. Université Paris-Saclay (ComUE); 2019. Available from: http://www.theses.fr/2019SACLS305
8.
Cardoso, Maristela Barbosa.
Equa??es el?pticas assintoticamente lineares com potencial que muda de sinal.
Degree: 2020, Universidade Federal do Amazonas
URL: https://tede.ufam.edu.br/handle/tede/7696
► Neste trabalho, consideramos a equa??o n?o linear de Schr?dinger, menos delta mais o potencial de x vezes u igual a fun??o f de u. Com…
(more)
▼ Neste trabalho, consideramos a equa??o n?o linear de Schr?dinger, menos delta mais o potencial de x vezes u igual a fun??o f de u. Com u no espa?o H um de Rn menos o 0, em que N maior do que ou igual a 3 , o potencial ? uma fun??o n?o peri?dica que muda de sinal e f ? uma fun??o assintoticamente linear no infinito. Al?m disso, o potencial possui um limite positivo no infinito e o espectro do operador de Schr?dinger tem ?n mo negativo. A exist?ncia de solu??o fraca ? estabelecida empregando a teoria espectral, o teorema de Linking sob a condi??o de Cerami e a itera??o ente solu??es transladadas do problema no infinito associado.
In this work, we consider Schr?dinger's nonlinear equation, minus delta plus the potential of x times u equal to the function f of u.With u in space H one of Rn minus 0, where N is greater than or equal to 3, the potential is a non-periodic function that changes signs and f is an asymptotically linear function at infinity. In addition, the potential has a positive limit at infinity and the spectrum of the Schr?dinger operator has a negative end. The existence of a weak solution is established using the spectral theory, the Linking theorem under the condition of Cerami and the iteration between translated solutions of the problem in the associated infinity.
Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior - CAPES
Advisors/Committee Members: Khatib, Alireza, http://lattes.cnpq.br/4200640916930686, Mousavinasr, Somayeh, http://lattes.cnpq.br/4351658866405423, Oliveira J?nior, Jos? Carlos de, http://lattes.cnpq.br/4325470867592545.
Subjects/Keywords: Equa??o de Schr?dinger; Teorema de Linking; Sequ?ncia de Cerami; Equa??es el?pticas; Fun??o assintoticamente linear; CI?NCIAS EXATAS E DA TERRA; Linking; Sequ?ncia de Cerami; Equa??o de Schr?dinger
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APA (6th Edition):
Cardoso, M. B. (2020). Equa??es el?pticas assintoticamente lineares com potencial que muda de sinal. (Masters Thesis). Universidade Federal do Amazonas. Retrieved from https://tede.ufam.edu.br/handle/tede/7696
Chicago Manual of Style (16th Edition):
Cardoso, Maristela Barbosa. “Equa??es el?pticas assintoticamente lineares com potencial que muda de sinal.” 2020. Masters Thesis, Universidade Federal do Amazonas. Accessed January 21, 2021.
https://tede.ufam.edu.br/handle/tede/7696.
MLA Handbook (7th Edition):
Cardoso, Maristela Barbosa. “Equa??es el?pticas assintoticamente lineares com potencial que muda de sinal.” 2020. Web. 21 Jan 2021.
Vancouver:
Cardoso MB. Equa??es el?pticas assintoticamente lineares com potencial que muda de sinal. [Internet] [Masters thesis]. Universidade Federal do Amazonas; 2020. [cited 2021 Jan 21].
Available from: https://tede.ufam.edu.br/handle/tede/7696.
Council of Science Editors:
Cardoso MB. Equa??es el?pticas assintoticamente lineares com potencial que muda de sinal. [Masters Thesis]. Universidade Federal do Amazonas; 2020. Available from: https://tede.ufam.edu.br/handle/tede/7696
9.
Kress, Jessica Elaine.
The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility.
Degree: 2012, University of Tennessee – Chattanooga
URL: https://scholar.utc.edu/theses/44
► The development of an explicit unstructured grid finite-volume scheme for solving the full incompressible Navier-Stokes equations along with the energy equation in a strongly coupled…
(more)
▼ The development of an explicit unstructured grid finite-volume scheme for solving the
full incompressible
Navier-
Stokes equations along with the energy equation in a strongly
coupled manner is presented. The Boussinesq approximation is utilized to account for
thermal buoyancy. The method of artificial compressibilty is used to solve the resulting
equations in a time marching fashion. Roe's approximate Riemann solver is used for the
construction of the numerical flux. An eigensystem is derived for the flux Jacobian matrix,
which is used in the evaluation of the numerical flux and the characteristic variable boundary
conditions. The resulting algorithm is validated by simulating canonical test cases from the
three regimes of convective heat transfer. The computed solutions are in close agreement
with analytical solutions and other benchmark computations.
Advisors/Committee Members: Taylor, Lafayette, Hyams, Daniel, Swafford, Timothy, College of Engineering and Computer Science.
Subjects/Keywords: Navier-Stokes equations
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APA (6th Edition):
Kress, J. E. (2012). The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility. (Masters Thesis). University of Tennessee – Chattanooga. Retrieved from https://scholar.utc.edu/theses/44
Chicago Manual of Style (16th Edition):
Kress, Jessica Elaine. “The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility.” 2012. Masters Thesis, University of Tennessee – Chattanooga. Accessed January 21, 2021.
https://scholar.utc.edu/theses/44.
MLA Handbook (7th Edition):
Kress, Jessica Elaine. “The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility.” 2012. Web. 21 Jan 2021.
Vancouver:
Kress JE. The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility. [Internet] [Masters thesis]. University of Tennessee – Chattanooga; 2012. [cited 2021 Jan 21].
Available from: https://scholar.utc.edu/theses/44.
Council of Science Editors:
Kress JE. The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility. [Masters Thesis]. University of Tennessee – Chattanooga; 2012. Available from: https://scholar.utc.edu/theses/44
10.
Erwin, Jon Taylor.
Stabilized finite elements for compressible turbulent Navier-Stokes.
Degree: 2013, University of Tennessee – Chattanooga
URL: https://scholar.utc.edu/theses/94
► In this research a stabilized finite element approach is utilized in the development of a high-order flow solver for compressible turbulent flows. The Reynolds averaged…
(more)
▼ In this research a stabilized finite element approach is utilized in the development of a high-order flow solver for compressible turbulent flows. The Reynolds averaged
Navier-
Stokes (RANS) equations and modified Spalart-Almaras (SA) turbulence model are discretized using the streamline/upwind Petrov-Galerkin (SUPG) scheme. A fully implicit methodology is used to obtain steady state solutions or to drive unsteady problems at each time step. Order of accuracy is assessed for inviscid and viscous flows in two and three dimensions via the method of manufactured solutions. Proper treatment of curved surface geometries is of vital importance in high-order methods, especially when high aspect ratio elements are used in viscous flow regions. In two dimensions, analytic surface representations are used to ensure proper surface point placement, and an algebraic mesh smoothing procedure is applied to prevent invalid elements in high aspect ratio meshes. In dealing with complex three-dimensional geometries, high-order curved surfaces are generated via a Computational Analysis PRogramming Interface (CAPRI), while the interior meshes are deformed through a linear elasticity solver. In addition, the effects of curved elements on solution accuracy are evaluated. Finally, several test cases in two and three dimensions are presented and compared with benchmark results and/or experimental data.
Advisors/Committee Members: Anderson, W. Kyle, Kapadia, Sagar, Wang, Li, Sreenivas, Kidambi, College of Engineering and Computer Science.
Subjects/Keywords: Navier-Stokes equations
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APA (6th Edition):
Erwin, J. T. (2013). Stabilized finite elements for compressible turbulent Navier-Stokes. (Doctoral Dissertation). University of Tennessee – Chattanooga. Retrieved from https://scholar.utc.edu/theses/94
Chicago Manual of Style (16th Edition):
Erwin, Jon Taylor. “Stabilized finite elements for compressible turbulent Navier-Stokes.” 2013. Doctoral Dissertation, University of Tennessee – Chattanooga. Accessed January 21, 2021.
https://scholar.utc.edu/theses/94.
MLA Handbook (7th Edition):
Erwin, Jon Taylor. “Stabilized finite elements for compressible turbulent Navier-Stokes.” 2013. Web. 21 Jan 2021.
Vancouver:
Erwin JT. Stabilized finite elements for compressible turbulent Navier-Stokes. [Internet] [Doctoral dissertation]. University of Tennessee – Chattanooga; 2013. [cited 2021 Jan 21].
Available from: https://scholar.utc.edu/theses/94.
Council of Science Editors:
Erwin JT. Stabilized finite elements for compressible turbulent Navier-Stokes. [Doctoral Dissertation]. University of Tennessee – Chattanooga; 2013. Available from: https://scholar.utc.edu/theses/94
University of New Mexico
11.
Payne, Michael.
A Study of the Pressure Term in the Navier-Stokes Equations.
Degree: Mathematics & Statistics, 2013, University of New Mexico
URL: http://hdl.handle.net/1928/23360
► In this paper we consider the Cauchy problem for the 3D \\NS equations for incompressible flows, and their solutions. We will discuss the results of…
(more)
▼ In this paper we consider the Cauchy problem for the 3D \\NS equations for incompressible flows, and their solutions. We will discuss the results of a paper by Otto Kreiss and Jens Lorenz on the role of the pressure term in the \\NS equations, and its relationship to the fluid field u(x,t). The focus here is to concentrate on solutions to the equation where the fluid field u lies in the space \\Ci(\\R
3)\\cap\\Li(\\R
3), and not necessarily in L
2(\\R
3). If u(x,0)=f(x), where f\∈\\Ci(\\R
3)\\cap\\Li(\\R
3) we will consider the solutions for all t in time interval 0\ ≤ t < T(f). In the original paper, estimates for the \\emph{derivatives} of the pressure were proved, but the definition of the pressure proved unsatisfactory due to the possibility of the divergence of the pressure term. The main object of this paper is to use the theory of singular integrals and the space of functions of \\BMO to properly address the pressure. In doing so, we will provide estimates on pressure term itself. This will allow us to strengthen the results of the original paper, and rigorously extend all results from the original paper to \\emph{any} function u\∈\\Ci(\\R
3)\\cap\\Li(\\R
3).
Advisors/Committee Members: Lorenz, Jens, Pereyra, Cristina, Appelo, Daniel, Sorrentino, Francesco.
Subjects/Keywords: Navier Stokes Equations
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APA (6th Edition):
Payne, M. (2013). A Study of the Pressure Term in the Navier-Stokes Equations. (Doctoral Dissertation). University of New Mexico. Retrieved from http://hdl.handle.net/1928/23360
Chicago Manual of Style (16th Edition):
Payne, Michael. “A Study of the Pressure Term in the Navier-Stokes Equations.” 2013. Doctoral Dissertation, University of New Mexico. Accessed January 21, 2021.
http://hdl.handle.net/1928/23360.
MLA Handbook (7th Edition):
Payne, Michael. “A Study of the Pressure Term in the Navier-Stokes Equations.” 2013. Web. 21 Jan 2021.
Vancouver:
Payne M. A Study of the Pressure Term in the Navier-Stokes Equations. [Internet] [Doctoral dissertation]. University of New Mexico; 2013. [cited 2021 Jan 21].
Available from: http://hdl.handle.net/1928/23360.
Council of Science Editors:
Payne M. A Study of the Pressure Term in the Navier-Stokes Equations. [Doctoral Dissertation]. University of New Mexico; 2013. Available from: http://hdl.handle.net/1928/23360
Rutgers University
12.
Yan, Xukai, 1987-.
Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere.
Degree: PhD, Mathematics, 2017, Rutgers University
URL: https://rucore.libraries.rutgers.edu/rutgers-lib/54047/
► We classify all (-1)-homogeneous axisymmetric no-swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus the south…
(more)
▼ We classify all (-1)-homogeneous axisymmetric no-swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus the south and north poles. We establish existence and nonexistence results of (-1)-homogeneous axisymmetric solutions with nonzero swirl emamnating from axisymmetric no-swirl solutions. We also establish asymptotic expansions for every (-1)-homogeneous axisymmetric solutions in a neighborhood of a singular point on the unit sphere.
Advisors/Committee Members: Li, YanYan (chair), Han, Zhengchao (internal member), Carlen, Eric (internal member), Sverak, Vladimir (outside member).
Subjects/Keywords: Navier-Stokes equations
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APA (6th Edition):
Yan, Xukai, 1. (2017). Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/54047/
Chicago Manual of Style (16th Edition):
Yan, Xukai, 1987-. “Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere.” 2017. Doctoral Dissertation, Rutgers University. Accessed January 21, 2021.
https://rucore.libraries.rutgers.edu/rutgers-lib/54047/.
MLA Handbook (7th Edition):
Yan, Xukai, 1987-. “Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere.” 2017. Web. 21 Jan 2021.
Vancouver:
Yan, Xukai 1. Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. [Internet] [Doctoral dissertation]. Rutgers University; 2017. [cited 2021 Jan 21].
Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/54047/.
Council of Science Editors:
Yan, Xukai 1. Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. [Doctoral Dissertation]. Rutgers University; 2017. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/54047/
13.
Feron, Pierre.
Schémas gradients appliqués à des problèmes elliptiques et paraboliques, linéaires et non-linéaires : Gradient Schemes for some elliptic and parabolic, linear and non-linear problems.
Degree: Docteur es, Mathématiques, 2015, Université Paris-Est
URL: http://www.theses.fr/2015PESC1119
► La notion de schémas gradients, conçue pour les équations elliptiques et paraboliques, linéaires et non-linéaires a l'avantage de fournir des résultats de convergence et d'estimations…
(more)
▼ La notion de schémas gradients, conçue pour les équations elliptiques et paraboliques, linéaires et non-linéaires a l'avantage de fournir des résultats de convergence et d'estimations d'erreur valables pour de nombreuses familles de méthodes numériques (éléments finis conformes et non-conformes, éléments finis mixtes, différences finies ...). Vérifier un ensemble restreint de propriétés suffit pour prouver qu'une méthode numérique donnée rentre dans le cadre de travail des schémas gradients et donc qu'elle sera convergente sur les différents problèmes traités. L'étude du problème de Stefan, celle du problème de Stokes incompressible, ainsi que celle des équations de Navier-Stokes incompressibles sont présentées dans cette thèse, chacune présentant un théorème de convergence établi à l'aide des schémas gradients. Pour Stokes et Navier-Stokes, nous donnerons une preuve de convergence pour les cas stationnaires et transitoires en modifiant certaines hypothèses ce qui aura comme effet de trouver des résultats de convergence différents. Finalement, nous présentons également quatre méthodes (Taylor-Hood, Crouzeix-Raviart, Marker-and-Cell, Hybrid Mixed Mimetic) pour ces deux problèmes et nous vérifions qu'elles rentrent bien dans le cadre des schémas gradients
The notion of gradient schemes, designed for linear and nonlinear elliptic and parabolic problems has the benefit of providing common convergence and error estimates results, which hold for a wide variety of numerical methods (finite element methods, nonconforming and mixed finite element methods, hybrid and mixed mimetic finite difference methods ...). Checking a minimal set of properties for a given numerical method suffices to prove that it belongs to the gradient schemes framework, and therefore that it is convergent on the different problems studied here. The study of the Stefan problem, the incompressible Stokes one and also the incompressible Navier-Stokes equations are presented in this thesis, where each one gets a convergence theorem set up with the gradient schemes framework. For Stokes and Navier-Stokes, we both provide the proof for the steady and the transient case dealing with some variational hypotheses which bring different convergence results. Finally, we also present four methods (Taylor-Hood, Crouzeix-Raviart, Marker-and-Cell, Hybrid Mixed Mimetic) for these two problems and we check that they enter in the gradient schemes framework
Advisors/Committee Members: Eymard, Robert (thesis director).
Subjects/Keywords: Gradient Schemes; Problème de Stefan; Problème de Navier-Stokes; Problème de Stokes; Résultats de convergence; Gradient Schemes; Stefan problem; Navier-Stokes problem; Stokes problem; Convergence results
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APA (6th Edition):
Feron, P. (2015). Schémas gradients appliqués à des problèmes elliptiques et paraboliques, linéaires et non-linéaires : Gradient Schemes for some elliptic and parabolic, linear and non-linear problems. (Doctoral Dissertation). Université Paris-Est. Retrieved from http://www.theses.fr/2015PESC1119
Chicago Manual of Style (16th Edition):
Feron, Pierre. “Schémas gradients appliqués à des problèmes elliptiques et paraboliques, linéaires et non-linéaires : Gradient Schemes for some elliptic and parabolic, linear and non-linear problems.” 2015. Doctoral Dissertation, Université Paris-Est. Accessed January 21, 2021.
http://www.theses.fr/2015PESC1119.
MLA Handbook (7th Edition):
Feron, Pierre. “Schémas gradients appliqués à des problèmes elliptiques et paraboliques, linéaires et non-linéaires : Gradient Schemes for some elliptic and parabolic, linear and non-linear problems.” 2015. Web. 21 Jan 2021.
Vancouver:
Feron P. Schémas gradients appliqués à des problèmes elliptiques et paraboliques, linéaires et non-linéaires : Gradient Schemes for some elliptic and parabolic, linear and non-linear problems. [Internet] [Doctoral dissertation]. Université Paris-Est; 2015. [cited 2021 Jan 21].
Available from: http://www.theses.fr/2015PESC1119.
Council of Science Editors:
Feron P. Schémas gradients appliqués à des problèmes elliptiques et paraboliques, linéaires et non-linéaires : Gradient Schemes for some elliptic and parabolic, linear and non-linear problems. [Doctoral Dissertation]. Université Paris-Est; 2015. Available from: http://www.theses.fr/2015PESC1119
14.
Omnès, Florian.
Geometry optimization applied to incompressible fluid mechanics : Optimisation géométrique appliquée à la mécanique des fluides incompressibles.
Degree: Docteur es, Mathématiques appliquées, 2018, Sorbonne université
URL: http://www.theses.fr/2018SORUS278
► Cette thèse de mathématiques appliquées est consacrée à la modélisation et à l'exploration de techniques numériques d'optimisation de la forme d'objets au contact de fluides.…
(more)
▼ Cette thèse de mathématiques appliquées est consacrée à la modélisation et à l'exploration de techniques numériques d'optimisation de la forme d'objets au contact de fluides. Le premier chapitre est consacré à un algorithme d'optimisation géométrique mis en œuvre dans le logiciel optiflow, dans le cas où le bord à optimiser est associé à des conditions de non-glissement. L'implémentation est mise en ligne et accompagnée d'une notice d'utilisation. Il est ainsi possible de l'utiliser pour des applications de la vie réelle, par exemple pour l'optimisation de la géométrie d'un pipeline, de conduits de climatisation, etc. Dans le second chapitre, nous décrivons une façon de modéliser l'écoulement fluide à travers une aquaporine. Après avoir précisé et motivé le modèle fluide, nous prouvons l'existence d'une forme optimale pour le critère d'énergie dissipée par le fluide. Les conditions de bord de glissement partiel font apparaître des difficultés dans le calcul de sensibilité, nous présentons un traitement numérique spécifique pour y remédier. Enfin, plusieurs exemples numériques sont présentés et commentés.
This applied mathematics thesis is dedicated to the modelling and exploration of numerical geometry optimization techniques. The first chapter is dedicated to a geometry optimization algorithm implemented in optiflow, in the case where the boundary to optimize is associated to no-slip conditions. The implementation is online and comes with a manual. It is therefore possible to use it for real-life applications such as pipeline or air conditioning, etc. In the second chapter, I describe a way to model fluid flow through an aquaporine. After making the fluid model precise, the existence of an optimal shape for the dissipated energy criterion is proven. Partial boundary conditions make appear difficulties in the sensitivity analysis of the optimization problem. A specific numerical treatment is presented to overcome this difficulty. Finally, several numerical examples are presented and commented.
Advisors/Committee Members: Frey, Pascal (thesis director), Privat, Yannick (thesis director).
Subjects/Keywords: Equations de Navier-Stokes; Equations de Stokes; Optimisation de forme; Lagrangien augmenté; Aquaporines; Dérivée de forme; Navier-Stokes equations; Stokes equations; Shape optimization; Augmented Lagrangian method; Aquaporin; Shape derivative
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APA (6th Edition):
Omnès, F. (2018). Geometry optimization applied to incompressible fluid mechanics : Optimisation géométrique appliquée à la mécanique des fluides incompressibles. (Doctoral Dissertation). Sorbonne université. Retrieved from http://www.theses.fr/2018SORUS278
Chicago Manual of Style (16th Edition):
Omnès, Florian. “Geometry optimization applied to incompressible fluid mechanics : Optimisation géométrique appliquée à la mécanique des fluides incompressibles.” 2018. Doctoral Dissertation, Sorbonne université. Accessed January 21, 2021.
http://www.theses.fr/2018SORUS278.
MLA Handbook (7th Edition):
Omnès, Florian. “Geometry optimization applied to incompressible fluid mechanics : Optimisation géométrique appliquée à la mécanique des fluides incompressibles.” 2018. Web. 21 Jan 2021.
Vancouver:
Omnès F. Geometry optimization applied to incompressible fluid mechanics : Optimisation géométrique appliquée à la mécanique des fluides incompressibles. [Internet] [Doctoral dissertation]. Sorbonne université; 2018. [cited 2021 Jan 21].
Available from: http://www.theses.fr/2018SORUS278.
Council of Science Editors:
Omnès F. Geometry optimization applied to incompressible fluid mechanics : Optimisation géométrique appliquée à la mécanique des fluides incompressibles. [Doctoral Dissertation]. Sorbonne université; 2018. Available from: http://www.theses.fr/2018SORUS278
15.
José Rodrigo Santos Silva.
Otimização do método área-velocidade para estimação de vazão fluvial usando MCMC.
Degree: 2011, Universidade Federal Rural de Pernambuco
URL: http://200.17.137.108/tde_busca/arquivo.php?codArquivo=1100
► The velocity-area method is a standard procedure for measurement of river discharge, with wide application in hydrometric studies, standardized at the international level by the…
(more)
▼ The velocity-area method is a standard procedure for measurement of river discharge, with wide application in hydrometric studies, standardized at the international level by the norm ISO 748:2007 of the International Standards Organization. This method requires measurement of velocity at several verticals of the river, at different depths for each vertical. In general, a relatively high number of measurements is necessary do determine the discharge. Recently a technique was proposed which results in a robust estimate of river discharge using a reduced number of measurement points, based on elementary properties of fluid dynamics, stemming from the Navier-Stokes equations, and the use of continuous interpolation between the verticals for calculating velocity across the entire river cross section. In the present work the Monte Carlo Markov Chain (MCMC) method is used to search for the optimum positions for velocity measurement, with the objective of reducing the number of measurement points without significant loss of precision, and therefore maximizing the efficiency of the estimate. A dedicated computer algorithm was developed in C programming language and applied to measurements collected on the river Exu, state of Pernambuco, Brazil, in April 2008. It is found that the discharge estimates with three or more measurement points exhibit variations well within uncertainty limits corresponding to the full 27 point estimate using the traditional velocity-area method. Simulation results indicate that the best positions for velocity measurement are close to the surface, and that significant savings in cost and labor may be accomplished by positioning the measurements at strategic points, without precision loss.
O método área-velocidade é um procedimento utilizado para medir a descarga de rios. Esta é uma técnica bastante difundida na hidrometria, e é normatizada internacionalmente pela ISO 748:2007 da International Standard Organization. Este método requer a medição da velocidade em diversas verticais do rio, e em diferentes profundidades de cada vertical. Em geral é necessário um número relativamente elevado de medições para determinar a vazão. Recentemente foi proposta uma técnica que resulta em uma estimativa robusta da descarga fluvial com reduzido número de pontos de medida, que se baseia nas propriedades básicas da dinâmica de fluidos e nas equações de Navier- Stokes, além de utilizar uma interpolação continua para o cálculo das velocidades em toda a seção vertical. No presente trabalho, o método Monte Carlo Markov Chain (MCMC) é utilizado na busca da melhor posição das medidas de velocidade a serem realizados na seção vertical do rio, tal que seja possível reduzir o número de medições e maximizar a eficiência da estimativa. O algoritmo foi desenvolvido em linguagem C e aplicado em medidas de velocidade colhidas no riacho Exu, no estado de Pernanbuco, em abril de 2008. Estimativas de vazão realizadas a partir de 3 medidas de velocidade sobre a seção vertical mostraram-se eficientes, apresentando diferenças da…
Advisors/Committee Members: Moacyr Cunha Filho, Adauto José Ferreira de Souza, Borko Stosic.
Subjects/Keywords: Área-velocidade; Descarga de rios; MCMC; Equações de Navier-Stokes; Ciências Sociais Aplicadas; Biometria; Fluvial discharge; The Navier-Stokes equation
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APA (6th Edition):
Silva, J. R. S. (2011). Otimização do método área-velocidade para estimação de vazão fluvial usando MCMC. (Thesis). Universidade Federal Rural de Pernambuco. Retrieved from http://200.17.137.108/tde_busca/arquivo.php?codArquivo=1100
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Silva, José Rodrigo Santos. “Otimização do método área-velocidade para estimação de vazão fluvial usando MCMC.” 2011. Thesis, Universidade Federal Rural de Pernambuco. Accessed January 21, 2021.
http://200.17.137.108/tde_busca/arquivo.php?codArquivo=1100.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Silva, José Rodrigo Santos. “Otimização do método área-velocidade para estimação de vazão fluvial usando MCMC.” 2011. Web. 21 Jan 2021.
Vancouver:
Silva JRS. Otimização do método área-velocidade para estimação de vazão fluvial usando MCMC. [Internet] [Thesis]. Universidade Federal Rural de Pernambuco; 2011. [cited 2021 Jan 21].
Available from: http://200.17.137.108/tde_busca/arquivo.php?codArquivo=1100.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Silva JRS. Otimização do método área-velocidade para estimação de vazão fluvial usando MCMC. [Thesis]. Universidade Federal Rural de Pernambuco; 2011. Available from: http://200.17.137.108/tde_busca/arquivo.php?codArquivo=1100
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Universidade Estadual de Campinas
16.
Silva, Luiz Alberto Viana, 1984-.
Escoamentos incompressíveis com viscosidade pequena em torno de obstáculos distantes: Incompressible flows around a distant obstacle and the vanishing viscosity limit.
Degree: 2012, Universidade Estadual de Campinas
URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307162
► Abstract: It is a classical open problem to determine if the vanishing viscosity limit can be established in the presence of boundaries. Based on this…
(more)
▼ Abstract: It is a classical open problem to determine if the vanishing viscosity limit can be established in the presence of boundaries. Based on this important issue, Kelliher, Lopes Filho and Nussenzveig Lopes studied in [21] the behavior of viscous incompresible flow in an expanding bounded domain when the viscosity is very small. To be more precise, these three authors described conditions under which the limiting flow satisfies the full space Euler equations. The present work is natural continuation of the aforementioned research since we consider 3D incompressible viscous flows around a distant obstacle along with the vanishing viscosity limit. Specificly, we obtain such a polynomial decay which shows an asymptotic behavior of families of 3D incompressible viscous flows, in the exterior of a single smooth obstacle, in terms of both the obstacle position and the small viscosity. Our approach allows us to compare our rate of convergence to that ones proved in [21]
Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Lopes, Helena Judith Nussenzveig, 1963- (advisor), Lopes Filho, Milton da Costa, 1963- (coadvisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Ciência da Computação (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Filho, Milton da Costa Lopes (committee member), Ferreira, Ademir Pastor (committee member), Santos, Marcelo Martins dos (committee member), Zani, Sérgio Luís (committee member), Cavalcanti, Valéria Neves Domingos (committee member).
Subjects/Keywords: Perturbação singular (Matemática); Navier-Stokes, Equações de; Euler, Equações de; Singular perturbation (Mathematics); Navier-Stokes equations; Euler equations
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APA (6th Edition):
Silva, Luiz Alberto Viana, 1. (2012). Escoamentos incompressíveis com viscosidade pequena em torno de obstáculos distantes: Incompressible flows around a distant obstacle and the vanishing viscosity limit. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/307162
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Silva, Luiz Alberto Viana, 1984-. “Escoamentos incompressíveis com viscosidade pequena em torno de obstáculos distantes: Incompressible flows around a distant obstacle and the vanishing viscosity limit.” 2012. Thesis, Universidade Estadual de Campinas. Accessed January 21, 2021.
http://repositorio.unicamp.br/jspui/handle/REPOSIP/307162.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Silva, Luiz Alberto Viana, 1984-. “Escoamentos incompressíveis com viscosidade pequena em torno de obstáculos distantes: Incompressible flows around a distant obstacle and the vanishing viscosity limit.” 2012. Web. 21 Jan 2021.
Vancouver:
Silva, Luiz Alberto Viana 1. Escoamentos incompressíveis com viscosidade pequena em torno de obstáculos distantes: Incompressible flows around a distant obstacle and the vanishing viscosity limit. [Internet] [Thesis]. Universidade Estadual de Campinas; 2012. [cited 2021 Jan 21].
Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307162.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Silva, Luiz Alberto Viana 1. Escoamentos incompressíveis com viscosidade pequena em torno de obstáculos distantes: Incompressible flows around a distant obstacle and the vanishing viscosity limit. [Thesis]. Universidade Estadual de Campinas; 2012. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307162
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Universidade Estadual de Campinas
17.
Dias, Gilberlandio Jesus, 1976-.
Problemas estacionários para fluidos incompressíveis com uma lei de potência em domínios com canais ilimitados: Stationary problems for incompressible fluids with a power law in channels with unlimited domains.
Degree: 2011, Universidade Estadual de Campinas
URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/305928
► Abstract: In this work we study the flow of the viscous non-Newtonian fluids, modeled by the steady incompressible Navier-Stokes system obeying a power-law, in domains…
(more)
▼ Abstract: In this work we study the flow of the viscous non-Newtonian fluids, modeled by the steady incompressible
Navier-
Stokes system obeying a power-law, in domains with infinite channels. We deal basically two types of domains: domains with channels whose cross section is limited and domains with channels having unlimited cross section. For both domains with limited cross section and for domains with unbounded cross section, we study the problem proposed by Ladyzhenskaya and Solonnikov [Zap. Nauchno. Sem Leningrad Otdel. Mat. Inst. Steklov (Lomi), 96 (1980) 117-160 (Portugu¿es Transl.: J. Soviet Math., 21, 1983, 728-761)]. We finished our work making a study of estimates in Sobolev weight spaces for solutions of the
Stokes power-law system
Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Santos, Marcelo Martins dos, 1961- (advisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Lopes, Helena Judith Nussenzveig (committee member), Neto, Hermano Frid (committee member), Alves, Claudianor Oliveira (committee member), Lima, Levi Lopes de (committee member).
Subjects/Keywords: Navier-Stokes, Equações de; Sobolev, Espaço de; Fluidos não-newtonianos; Navier-Stokes equations; Sobolev spaces; Non-newtonian fluids
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APA (6th Edition):
Dias, Gilberlandio Jesus, 1. (2011). Problemas estacionários para fluidos incompressíveis com uma lei de potência em domínios com canais ilimitados: Stationary problems for incompressible fluids with a power law in channels with unlimited domains. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/305928
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Dias, Gilberlandio Jesus, 1976-. “Problemas estacionários para fluidos incompressíveis com uma lei de potência em domínios com canais ilimitados: Stationary problems for incompressible fluids with a power law in channels with unlimited domains.” 2011. Thesis, Universidade Estadual de Campinas. Accessed January 21, 2021.
http://repositorio.unicamp.br/jspui/handle/REPOSIP/305928.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Dias, Gilberlandio Jesus, 1976-. “Problemas estacionários para fluidos incompressíveis com uma lei de potência em domínios com canais ilimitados: Stationary problems for incompressible fluids with a power law in channels with unlimited domains.” 2011. Web. 21 Jan 2021.
Vancouver:
Dias, Gilberlandio Jesus 1. Problemas estacionários para fluidos incompressíveis com uma lei de potência em domínios com canais ilimitados: Stationary problems for incompressible fluids with a power law in channels with unlimited domains. [Internet] [Thesis]. Universidade Estadual de Campinas; 2011. [cited 2021 Jan 21].
Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/305928.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Dias, Gilberlandio Jesus 1. Problemas estacionários para fluidos incompressíveis com uma lei de potência em domínios com canais ilimitados: Stationary problems for incompressible fluids with a power law in channels with unlimited domains. [Thesis]. Universidade Estadual de Campinas; 2011. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/305928
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Universidade Federal de Viçosa
18.
Samara Leandro Matos da Silva.
Equações de Navier-Stokes com Viscosidade Variavel na Forma não-Estacionaria.
Degree: 2013, Universidade Federal de Viçosa
URL: http://www.tede.ufv.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=5423
► O objetivo principal desde trabalho e estudar a equação de Navier-Stokes não-estacionária (1)-(3). Mostraremos a existência, para n <= 4 ; e unicidade, para n…
(more)
▼ O objetivo principal desde trabalho e estudar a equação de Navier-Stokes não-estacionária (1)-(3). Mostraremos a existência, para n <= 4 ; e unicidade, para n >=3 ; quando v= v0 + v1||u||2 ; com v0, v1 >0 constantes positivas. Tambem provaremos a existência, para n<= 4, quando v= M(a(u)), onde a(u) = ||u||2 e M e uma função continua e diferenciavel. Para tanto, utilizaremos o Metodo de Galerkin acoplado com argumentos de compacidade e ponto fixo.
The main objective of this work is to study the Navier-Stokes non-stationary (1) - (3). We will show the existence, for n <= 4 and uniqueness, for n >=3 when v= v0 + v1||u||2 with v0, v1 >0 are positive constants. Also prove the existence, for n<= 4 when v= M(a(u)), where a(u) = ||u||2 and M is a continuous function and differentiable. To do so, we use the Galerkin method coupled with arguments for compactness and fixed point.
Advisors/Committee Members: Margareth da Silva Alves, Anderson Luís Albuquerque de Araújo, Bianca Morelli Rodolfo Calsavara.
Subjects/Keywords: MATEMATICA; Método de galerkin; Operadores Monótonos; Galerkin method; Monotone operators; Navier-Stokes Equation; Equação de Navier-Stokes
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APA (6th Edition):
Silva, S. L. M. d. (2013). Equações de Navier-Stokes com Viscosidade Variavel na Forma não-Estacionaria. (Thesis). Universidade Federal de Viçosa. Retrieved from http://www.tede.ufv.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=5423
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Silva, Samara Leandro Matos da. “Equações de Navier-Stokes com Viscosidade Variavel na Forma não-Estacionaria.” 2013. Thesis, Universidade Federal de Viçosa. Accessed January 21, 2021.
http://www.tede.ufv.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=5423.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Silva, Samara Leandro Matos da. “Equações de Navier-Stokes com Viscosidade Variavel na Forma não-Estacionaria.” 2013. Web. 21 Jan 2021.
Vancouver:
Silva SLMd. Equações de Navier-Stokes com Viscosidade Variavel na Forma não-Estacionaria. [Internet] [Thesis]. Universidade Federal de Viçosa; 2013. [cited 2021 Jan 21].
Available from: http://www.tede.ufv.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=5423.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Silva SLMd. Equações de Navier-Stokes com Viscosidade Variavel na Forma não-Estacionaria. [Thesis]. Universidade Federal de Viçosa; 2013. Available from: http://www.tede.ufv.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=5423
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Universidade Federal de Santa Maria
19.
Paulo César Almeida Menezes.
O TEOREMA DE CAUCHY NA MECÂNICA DOS FLUIDOS.
Degree: 2010, Universidade Federal de Santa Maria
URL: http://coralx.ufsm.br/tede/tde_busca/arquivo.php?codArquivo=3569
► O presente trabalho apresenta o Teorema de Cauchy em sua forma clássica e tem por finalidade enfraquecer as suas hipóteses, proporcionando sua aplicação na mecânica…
(more)
▼ O presente trabalho apresenta o Teorema de Cauchy em sua forma clássica e tem por finalidade enfraquecer as suas hipóteses, proporcionando sua aplicação na mecânica do contínuo. A metodologia empregada é a axiomática, ou seja, é apresentada uma listagem de definições básicas com vistas ao desencadeamento lógico das demonstrações que foram realizadas para atingir os objetivos dessa dissertação. O resultado principal é teorema 15, pois mostra que para um Fluxo de Cauchy Fracamente Balanceado com densidade f existe um campo T : R ��! L(R3) tal que f é linear em quase todos os pontos de R. A conclusão obtida e que podemos substituir a hipótese de que a referida função e contínua na variável espacial e obter conclusão semelhante.
The present work shows Cauchy s Theorem on its classical form, and it has the objective of weakening their statements, and provides aplications in continuum mechanics. The metodology used here is the axiomatic, that is, a presentation of basic concepts with fundamental results and theirs proofs. The main result here is Theorem 5, since it shows that for a Cauchy ux weakly balanced with density f there is a eld such that f is linear in almost every points of R. The conclusion obtained is we can substitute the statement that f is a continuum function of position and have similar conclusions.
Advisors/Committee Members: João Paulo Lukaszczyk, Celene Buriol, Mario Rocha Retamoso.
Subjects/Keywords: Teorema de Cauchy; equações de Navier-Stokes; mecânica do contínuo; MATEMATICA; continuum mechanics; Navier-Stokes Equations
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APA (6th Edition):
Menezes, P. C. A. (2010). O TEOREMA DE CAUCHY NA MECÂNICA DOS FLUIDOS. (Thesis). Universidade Federal de Santa Maria. Retrieved from http://coralx.ufsm.br/tede/tde_busca/arquivo.php?codArquivo=3569
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Menezes, Paulo César Almeida. “O TEOREMA DE CAUCHY NA MECÂNICA DOS FLUIDOS.” 2010. Thesis, Universidade Federal de Santa Maria. Accessed January 21, 2021.
http://coralx.ufsm.br/tede/tde_busca/arquivo.php?codArquivo=3569.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Menezes, Paulo César Almeida. “O TEOREMA DE CAUCHY NA MECÂNICA DOS FLUIDOS.” 2010. Web. 21 Jan 2021.
Vancouver:
Menezes PCA. O TEOREMA DE CAUCHY NA MECÂNICA DOS FLUIDOS. [Internet] [Thesis]. Universidade Federal de Santa Maria; 2010. [cited 2021 Jan 21].
Available from: http://coralx.ufsm.br/tede/tde_busca/arquivo.php?codArquivo=3569.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Menezes PCA. O TEOREMA DE CAUCHY NA MECÂNICA DOS FLUIDOS. [Thesis]. Universidade Federal de Santa Maria; 2010. Available from: http://coralx.ufsm.br/tede/tde_busca/arquivo.php?codArquivo=3569
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
20.
Scrobogna, Stefano.
On some models in geophysical fluids : Sur quelques modèles des fluides géophysiques.
Degree: Docteur es, Mathématiques appliquées et calcul scientifique, 2017, Bordeaux
URL: http://www.theses.fr/2017BORD0601
► Dans cette thèse nous étudions trois modèles décrivant la dynamique de l’écoulement d’un fluide à densité variable, dans des échelles spatio-temporelles grandes. Dans ce cadre,…
(more)
▼ Dans cette thèse nous étudions trois modèles décrivant la dynamique de l’écoulement d’un fluide à densité variable, dans des échelles spatio-temporelles grandes. Dans ce cadre, le mouvement relatif induit par des forces extérieures,comme la force de Coriolis ou la poussée hydrostatique, s’avère être beaucoup plus important que le mouvement intrinsèque du fluide induit par le transport des particules. Une tel déséquilibre contraint ainsi le mouvement, induisant des structures persistantes dans l’écoulement du fluide.D’un point de vue mathématique, l’une des difficultés consiste en l’étude des perturbations induites par les forces extérieures, qui se propagent à grande vitesse.Ce type d’analyse peut être effectué au moyen de plusieurs outils mathématiques ;on choisit ici d’employer des techniques caractéristiques de l’analyse de Fourier,comme l’analyse des propriétés dispersives des intégrales oscillantes.Tout au long de cette thèse, on se restreint à considérer des domaines spatiaux sans frontière : c’est le cas de l’espace entier, ou encore de l’espace périodique. Les modèles considérés sont donc les suivants: équations primitives dont les nombres de Froude et de Rossby sont comparables,et pour lesquelles la diffusion verticale est nulle, fluides stratifiés dans un régime à faible nombre de Froude, fluides faiblement compressibles et tournants dans un régime où les nombres de Mach et de Rossby sont comparables.On prouve que ces systèmes propagent globalement dans le temps des donnés peu régulières. Nous n’imposons jamais de condition de petitesse sur les données initiales. Toutefois, on prendra en compte certaines hypothèses spécifiques de régularité, lorsque des raisons techniques l’imposent.
In this thesis we discuss three models describing the dynamics of density-dependent fluids in long lifes pans and on a planetary scale. In such setting the relative displacement induced by various external physical forces, such as the Coriolis force and the stratification buoyancy, is far more relevant than the intrinsic motion generated by the collision of particles of the fluid itself. Such disproportion of balance limits hence the motion, inducing persistent structures in the velocity flow.On a mathematical level one of the main difficulties relies in giving a full description of the perturbations induced by the external forces, which propagate at high speed. This analysis can be performed by the aid of several tools, we chose here to adopt techniques characteristic of harmonic analysis, such as the analysis of the dispersive properties of highly oscillating integrals.All along the thesis we consider boundary-free, three-dimensional domains, and inspecific we study only the case in which the domain in either the whole space or the periodic space . The models we consider are the following ones : primitive equations with comparable Froude and Rossby number and zero vertical diffusivity, density-dependent stratified fluids in low Froude number regime, weakly compressible and fast rotating fluid in a regime in which Mach and…
Advisors/Committee Members: Paicu, Marius-Gheorghe (thesis director).
Subjects/Keywords: Équations de Navier-Stokes; Dynamique des fluides; Fluides géophysiques; Inegalités de Strichartz; Navier-Stokes equations; Fluid dynamics; Geophisical fluids; Strichartz estimates
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APA (6th Edition):
Scrobogna, S. (2017). On some models in geophysical fluids : Sur quelques modèles des fluides géophysiques. (Doctoral Dissertation). Bordeaux. Retrieved from http://www.theses.fr/2017BORD0601
Chicago Manual of Style (16th Edition):
Scrobogna, Stefano. “On some models in geophysical fluids : Sur quelques modèles des fluides géophysiques.” 2017. Doctoral Dissertation, Bordeaux. Accessed January 21, 2021.
http://www.theses.fr/2017BORD0601.
MLA Handbook (7th Edition):
Scrobogna, Stefano. “On some models in geophysical fluids : Sur quelques modèles des fluides géophysiques.” 2017. Web. 21 Jan 2021.
Vancouver:
Scrobogna S. On some models in geophysical fluids : Sur quelques modèles des fluides géophysiques. [Internet] [Doctoral dissertation]. Bordeaux; 2017. [cited 2021 Jan 21].
Available from: http://www.theses.fr/2017BORD0601.
Council of Science Editors:
Scrobogna S. On some models in geophysical fluids : Sur quelques modèles des fluides géophysiques. [Doctoral Dissertation]. Bordeaux; 2017. Available from: http://www.theses.fr/2017BORD0601
21.
Ngom, Evrad Marie Diokel.
Contrôle frontière des équations de Navier-Stokes : Boundary control of the Navier Stokes equations.
Degree: Docteur es, Mathématiques, 2014, Université Claude Bernard – Lyon I
URL: http://www.theses.fr/2014LYO10132
► Cette thèse est consacrée à l'étude de problèmes de stabilisation exponentielle par retour d'état ou "feedback" des équations de Navier-Stokes dans un domaine borné Ω…
(more)
▼ Cette thèse est consacrée à l'étude de problèmes de stabilisation exponentielle par retour d'état ou "feedback" des équations de Navier-Stokes dans un domaine borné Ω ⊂ Rd, d = 2 ou 3. Le cas d'un contrôle localisé sur la frontière du domaine est considéré. Le contrôle s'exprime en fonction du champ de vitesse à l'aide d'une loi de feedback non-linéaire. Celle-ci est fournie grâce aux techniques d'estimation a priori via la procédure de Faedo-Galerkin laquelle consiste à construire une suite de solutions approchées en utilisant une base de Galerkin adéquate. Cette loi de feedback assure la décroissance exponentielle de l'énergie du problème discret correspondant et grâce au résultat de compacité, nous passons à la limite dans le système satisfait par les solutions approchées. Le chapitre 1 étudie le problème de stabilisation des équations de Navier- Stokes autour d'un état stationnaire donné, tandis que le chapitre 2 examine le problème de stabilisation autour d'un état non-stationnaire prescrit. Le chapitre 3 est consacré à l'étude de la stabilisation du problème de Navier-Stokes avec des conditions aux bords mixtes (Dirichlet- Neumann) autour d'un état d'équilibre donné. Enfin, nous présentons dans le chapitre 4, des résultats numériques dans le cas d'un écoulement autour d'un obstacle circulaire
In this thesis we study the exponential stabilization of the two and three-dimensional Navier- Stokes equations in a bounded domain Ω, by means of a boundary control. The Control is expressed in terms of the velocity field by using a non-linear feedback law. In order to determine a feedback law, we consider an extended system coupling the Navier-Stokes equations with an equation satisfied by the control on the domain boundary. While most traditional approaches apply a feedback controller via an algebraic Riccati equation, the Stokes-Oseen operator or extension operators, a Galerkin method is proposed instead in this study. The Galerkin method permits to construct a stabilizing boundary control and by using energy a priori estimation technics, the exponential decay is obtained. A compactness result then allows us to pass to the limit in the nonlinear system satisfied by the approximated solutions. Chapter 1 deals with the stabilization problem of the Navier-Stokes equations around a given steady state, while Chapter 2 examines the stabilization problem around a prescribed non-stationary state. Chapter 3 is devoted to the stabilization of the Navier-Stokes problem with mixed-boundary conditions (Dirichlet-Neumann), around to a given steady-state. Finally, we present in Chapter 4, numerical results in the case of a flow around a circular obstacle
Advisors/Committee Members: Le Roux, Daniel (thesis director), Sène, Abdou (thesis director).
Subjects/Keywords: Équations de Navier-Stokes; Contrôle feedback; Stabilisation frontière; Approche de Galerkin; Navier-Stokes system; Feedback control; Boundary stabilization; Galerkin method; 518.64
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APA (6th Edition):
Ngom, E. M. D. (2014). Contrôle frontière des équations de Navier-Stokes : Boundary control of the Navier Stokes equations. (Doctoral Dissertation). Université Claude Bernard – Lyon I. Retrieved from http://www.theses.fr/2014LYO10132
Chicago Manual of Style (16th Edition):
Ngom, Evrad Marie Diokel. “Contrôle frontière des équations de Navier-Stokes : Boundary control of the Navier Stokes equations.” 2014. Doctoral Dissertation, Université Claude Bernard – Lyon I. Accessed January 21, 2021.
http://www.theses.fr/2014LYO10132.
MLA Handbook (7th Edition):
Ngom, Evrad Marie Diokel. “Contrôle frontière des équations de Navier-Stokes : Boundary control of the Navier Stokes equations.” 2014. Web. 21 Jan 2021.
Vancouver:
Ngom EMD. Contrôle frontière des équations de Navier-Stokes : Boundary control of the Navier Stokes equations. [Internet] [Doctoral dissertation]. Université Claude Bernard – Lyon I; 2014. [cited 2021 Jan 21].
Available from: http://www.theses.fr/2014LYO10132.
Council of Science Editors:
Ngom EMD. Contrôle frontière des équations de Navier-Stokes : Boundary control of the Navier Stokes equations. [Doctoral Dissertation]. Université Claude Bernard – Lyon I; 2014. Available from: http://www.theses.fr/2014LYO10132
Universidade do Rio Grande do Sul
22.
Santos, Matheus Correia dos.
Problemas de Stokes em regiões irregulares com cilindros.
Degree: 2011, Universidade do Rio Grande do Sul
URL: http://hdl.handle.net/10183/34203
► Consideramos o problema de Stokes em regiões com cilindros semi-infinitos conectados por um domínio limitado qualquer. Além das condições iniciais e de contorno, é imposto…
(more)
▼ Consideramos o problema de Stokes em regiões com cilindros semi-infinitos conectados por um domínio limitado qualquer. Além das condições iniciais e de contorno, é imposto uma condição sobre o comportamento da pressão quando |x| → +∞. Apresentamos um problema proposto por D. Koch envolvendo tais situações e formulamos o problema em regiões mais gerais. Técnicas usadas na resolução do conhecido problema de Leray permitem a demonstração da existência de soluções para o problema variacional.
We consider the Stokes’ problem in regions with cylindrical outlets to infinity connected by an arbitrary bounded domain. We impose an additional condition about the pressure behavior as |x| → +∞, in addition to the usual initial and boundary conditions over the velocity field. We present a problem proposed by D. Koch concerning such regions and conditions, and we formulate it in terms of more general ones. The techniques used in the well-known Leray’s problem allow the demonstration of the existence of solutions to the variational problem.
Advisors/Committee Members: Thompson, Mark.
Subjects/Keywords: Equações de Navier-Stokes; Metodo de Galerkin; Problema de Leray
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APA (6th Edition):
Santos, M. C. d. (2011). Problemas de Stokes em regiões irregulares com cilindros. (Thesis). Universidade do Rio Grande do Sul. Retrieved from http://hdl.handle.net/10183/34203
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Santos, Matheus Correia dos. “Problemas de Stokes em regiões irregulares com cilindros.” 2011. Thesis, Universidade do Rio Grande do Sul. Accessed January 21, 2021.
http://hdl.handle.net/10183/34203.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Santos, Matheus Correia dos. “Problemas de Stokes em regiões irregulares com cilindros.” 2011. Web. 21 Jan 2021.
Vancouver:
Santos MCd. Problemas de Stokes em regiões irregulares com cilindros. [Internet] [Thesis]. Universidade do Rio Grande do Sul; 2011. [cited 2021 Jan 21].
Available from: http://hdl.handle.net/10183/34203.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Santos MCd. Problemas de Stokes em regiões irregulares com cilindros. [Thesis]. Universidade do Rio Grande do Sul; 2011. Available from: http://hdl.handle.net/10183/34203
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Universidade do Rio Grande do Sul
23.
Francisquetti, Elisângela Pinto.
Estudo de quadtrees para uso de dinâmica de fluidos computacional.
Degree: 2010, Universidade do Rio Grande do Sul
URL: http://hdl.handle.net/10183/23901
► Neste trabalho desenvolvemos um algoritmo para a geração de malhas quadtree com o objetivo de utilizá-las na simulação de escoamento de fluidos, onde muitas vezes…
(more)
▼ Neste trabalho desenvolvemos um algoritmo para a geração de malhas quadtree com o objetivo de utilizá-las na simulação de escoamento de fluidos, onde muitas vezes faz-se necessário o uso de malhas finas. A idéia central da geração das malhas quadtree está baseada na estrutura de árvore quaternária em que cada nodo possui quatro filhos. Assim uma estrutura de árvore está associada a uma malha que pode ter espaçamento uniforme ou refinamento em regiões específicas. Para evitar problemas de discretização, uma malha quadtree deve satisfazer um critério chamado de balanceamento e este é tratado de forma detalhada no desenvolvimento do trabalho. Podemos destacar também outro ponto importantíssimo na implementação de malhas quadtree, que é a busca de vizinhos dos nodos. Além disso apresentamos a discretização dos operadores em diferenças finitas, que é feita a partir do conhecimento dos vizinhos dos quadrantes da malha e de técnicas de interpolação. A ordem do método é verificada a partir de testes com a equação do calor, tanto para malhas uniformes quanto para malhas com níveis de refinamento diferenciados e concluímos, assim, que o método desenvolvido e apresentado é satisfatório.
In this work we developed an algorithm to generate meshes quadtree in order to use them to simulate uid ow, which often makes it necessary to use ne meshes. The central idea of the generation of quadtree meshes is based on the quaternary structure of the tree, where each node has four children, and thus a tree structure is associated with a mesh that can be evenly or locally re ned. To avoid problems of discretization, a quadtree mesh must satisfy a criterion called the balancing and this is addressed in detail in the development of this work. We also highlight another important point in the implementation of quadtree meshes, which is the search for neighboring nodes. Additionally, we present the nite di erences discretization of operators, which uses the knowledge of the mesh quadrant neighboors and interpolation techniques. The order of the method is checked by tests with the heat equation for both uniform meshes and for meshes with di erent levels of re nement and we conclude that method here presented is satisfactory.
Advisors/Committee Members: Justo, Dagoberto Adriano Rizzotto.
Subjects/Keywords: Dinâmica de fluídos computacionais; Geração de malhas; Equações de Navier-Stokes
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APA (6th Edition):
Francisquetti, E. P. (2010). Estudo de quadtrees para uso de dinâmica de fluidos computacional. (Thesis). Universidade do Rio Grande do Sul. Retrieved from http://hdl.handle.net/10183/23901
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Francisquetti, Elisângela Pinto. “Estudo de quadtrees para uso de dinâmica de fluidos computacional.” 2010. Thesis, Universidade do Rio Grande do Sul. Accessed January 21, 2021.
http://hdl.handle.net/10183/23901.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Francisquetti, Elisângela Pinto. “Estudo de quadtrees para uso de dinâmica de fluidos computacional.” 2010. Web. 21 Jan 2021.
Vancouver:
Francisquetti EP. Estudo de quadtrees para uso de dinâmica de fluidos computacional. [Internet] [Thesis]. Universidade do Rio Grande do Sul; 2010. [cited 2021 Jan 21].
Available from: http://hdl.handle.net/10183/23901.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Francisquetti EP. Estudo de quadtrees para uso de dinâmica de fluidos computacional. [Thesis]. Universidade do Rio Grande do Sul; 2010. Available from: http://hdl.handle.net/10183/23901
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
24.
Durrenberger, Daniel.
NSIBM : un solveur parallèle de Navier-Stokes avec raffinement automatique basé sur la méthode des frontières immergées : NSIBM : a parallel Navier-Stokes solver with automatic mesh refinement based on immersed boundary method.
Degree: Docteur es, Mécanique des fluides, 2015, Université de Strasbourg
URL: http://www.theses.fr/2015STRAD049
► Cette thèse, intitulée NSIBM : un solveur parallèle de Navier-Stokes avec raffinement automatique basé sur la méthode des frontières immergées, a été effectuée au sein…
(more)
▼ Cette thèse, intitulée NSIBM : un solveur parallèle de Navier-Stokes avec raffinement automatique basé sur la méthode des frontières immergées, a été effectuée au sein du laboratoire iCube, département de mécanique, à Strasbourg, dans le quartier de l'Orangerie, sous la direction du professeur Yannick Hoarau. L'essentiel du travail effectué consiste en le développement d'un programme capable de résoudre numériquement l'équation de Navier-Stokes qui régit des fluides en mouvement. Une attention particulière a été portée à la production de maillages conformes aux géométries proposées et à leur génération. Les moyens mis en œuvre ici pour gérer l'éternel problème de la finesse du maillage opposée au trop grand nombre de cellules sont multiples : le raffinement, la parallélisation et les frontières immergées. Dans un premier temps, j'ai conçu un générateur de maillage en deux et trois dimensions en y intégrant la possibilité de diviser des cellules, et cela de manière automatique, par des critères géométriques, numériques ou physiques. Il permet également de supprimer des cellules, de manière à ne pas mailler le vide ou les parties solides de la géométrie.Dans un deuxième temps, j'ai rendu ce code parallèle en lui donnant la capacité d'utiliser plusieurs processeurs, afin de calculer plus vite et donc d'utiliser davantage de mailles. Cette étape fait appel à deux technologies : Metis, qui partage équitablement les mailles sur le nombre choisi de processeurs et OpenMPI, qui est l'interface de communication entre ces processeurs. Enfin, la méthode des frontières immergées a été introduite au code pour gérer les bords non verticaux ou horizontaux dans un maillage cartésien, c'est-à-dire formé de rectangles ou de pavés droits. Elle consiste à donner un caractère hybride à une cellule traversée par une frontière par l'introduction d'un terme numérique de forçage simulant la présence de la paroi.Ce travail de développement a ensuite été mis à l'épreuve et validé dans une série de cas tests en deux comme en trois dimensions. Des exemples de maillages complexes générés facilement sont donnés.
This thesis, entitled NSIBM: a parallel Navier-Stokes solver with automatic mesh refinement based on immersed boundary method, has been conducted within the iCube laboratory dedicated to mechanics and located in Strasbourg. It has been supervised by Professor Yannick Hoarau. This work mainly deals with coding a program able to solve the Navier-Stokes equations that governs moving fluids, in a numerical way. Particular attention was paid to the production of meshes that suit given geometries and their generation.The means used here to handle the eternal problem of the fineness of the mesh opposed to too many cells are several~:refinement, parallelization and the immersed boundary method.Initially, I designed a two and three-dimensional mesh generator that includes the possibility of dividing cells,in an automatic way, by geometrical, numerical or physical criteria. It also allows to remove cells, where there is no point keeping it.…
Advisors/Committee Members: Hoarau, Yannick (thesis director).
Subjects/Keywords: CFD; Navier-Stokes; OpenMPI; Raffinement de maillage; IBM; CFD; Navier-Stokes; OpenMPI; Mesh refinement; IBM; 532.5; 620
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APA (6th Edition):
Durrenberger, D. (2015). NSIBM : un solveur parallèle de Navier-Stokes avec raffinement automatique basé sur la méthode des frontières immergées : NSIBM : a parallel Navier-Stokes solver with automatic mesh refinement based on immersed boundary method. (Doctoral Dissertation). Université de Strasbourg. Retrieved from http://www.theses.fr/2015STRAD049
Chicago Manual of Style (16th Edition):
Durrenberger, Daniel. “NSIBM : un solveur parallèle de Navier-Stokes avec raffinement automatique basé sur la méthode des frontières immergées : NSIBM : a parallel Navier-Stokes solver with automatic mesh refinement based on immersed boundary method.” 2015. Doctoral Dissertation, Université de Strasbourg. Accessed January 21, 2021.
http://www.theses.fr/2015STRAD049.
MLA Handbook (7th Edition):
Durrenberger, Daniel. “NSIBM : un solveur parallèle de Navier-Stokes avec raffinement automatique basé sur la méthode des frontières immergées : NSIBM : a parallel Navier-Stokes solver with automatic mesh refinement based on immersed boundary method.” 2015. Web. 21 Jan 2021.
Vancouver:
Durrenberger D. NSIBM : un solveur parallèle de Navier-Stokes avec raffinement automatique basé sur la méthode des frontières immergées : NSIBM : a parallel Navier-Stokes solver with automatic mesh refinement based on immersed boundary method. [Internet] [Doctoral dissertation]. Université de Strasbourg; 2015. [cited 2021 Jan 21].
Available from: http://www.theses.fr/2015STRAD049.
Council of Science Editors:
Durrenberger D. NSIBM : un solveur parallèle de Navier-Stokes avec raffinement automatique basé sur la méthode des frontières immergées : NSIBM : a parallel Navier-Stokes solver with automatic mesh refinement based on immersed boundary method. [Doctoral Dissertation]. Université de Strasbourg; 2015. Available from: http://www.theses.fr/2015STRAD049
25.
Rogenski, Josuel Kruppa.
Desenvolvimento e otimização de um código paralelizado para simulação de escoamentos incompressíveis.
Degree: Mestrado, Ciências de Computação e Matemática Computacional, 2011, University of São Paulo
URL: http://www.teses.usp.br/teses/disponiveis/55/55134/tde-12052011-145111/
;
► O presente trabalho de pesquisa tem por objetivo estudar a paralelização de algoritmos voltados à solução de equações diferenciais parciais. Esses algoritmos são utilizados para…
(more)
▼ O presente trabalho de pesquisa tem por objetivo estudar a paralelização de algoritmos voltados à solução de equações diferenciais parciais. Esses algoritmos são utilizados para gerar a solução numérica das equações de Navier-Stokes em um escoamento bidimensional incompressível de um fluido newtoniano. As derivadas espaciais são calculadas através de um método de diferenças finitas compactas com a utilização de aproximações de altas ordens de precisão. Uma vez que o cálculo de derivadas espaciais com alta ordem de precisão da forma compacta adotado no presente estudo requer a solução de sistemas lineares tridiagonais, é importante realizar estudos voltados a resolução desses sistemas, para se obter uma boa performance. Ressalta-se ainda que a solução de sistemas lineares também faz-se presente na solução numérica da equação de Poisson. Os resultados obtidos decorrentes da solução das equações diferenciais parciais são comparados com os resultados onde se conhece a solução analítica, de forma a verificar a precisão dos métodos implementados. Os resultados do código voltado à resolução das equações de Navier-Stokes paralelizado para simulação de escoamentos incompressíveis são comparados com resultados da teoria de estabilidade linear, para validação do código final. Verifica-se a performance e o speedup do código em questão, comparando-se o tempo total gasto em função do número de elementos de processamento utilizados
The objective of the present work is to study the parallelization of partial differential equations. The aim is to achieve an effective parallelization to generate numerical solution of Navier-Stokes equations in a two-dimensional incompressible and isothermal flow of a Newtonian fluid. The spatial derivatives are calculated using compact finite differences approximations of higher order accuracy. Since the calculation of spatial derivatives with high order adopted in the present work requires the solution of tridiagonal systems, it is important to conduct studies to solve these systems and achieve good performance. In addiction, linear systems solution is also present in the numerical solution of a Poisson equation. The results generated by the solution of partial differential equations are compared to analytical solution, in order to verify the accuracy of the implemented methods. The numerical parallel solution of a Navier-Stokes equations is compared with linear stability theory to validate the final code. The performance and the speedup of the code in question is also checked, comparing the execution time in function of the number of processing elements
Advisors/Committee Members: Souza, Leandro Franco de.
Subjects/Keywords: Compact finite differences; Computação paralela; Diferenças finitas compactas; Equações de Navier-Stokes; Métodos multigrid; Multigrid methods; Navier-Stokes equations; Parallel computing
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APA (6th Edition):
Rogenski, J. K. (2011). Desenvolvimento e otimização de um código paralelizado para simulação de escoamentos incompressíveis. (Masters Thesis). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/55/55134/tde-12052011-145111/ ;
Chicago Manual of Style (16th Edition):
Rogenski, Josuel Kruppa. “Desenvolvimento e otimização de um código paralelizado para simulação de escoamentos incompressíveis.” 2011. Masters Thesis, University of São Paulo. Accessed January 21, 2021.
http://www.teses.usp.br/teses/disponiveis/55/55134/tde-12052011-145111/ ;.
MLA Handbook (7th Edition):
Rogenski, Josuel Kruppa. “Desenvolvimento e otimização de um código paralelizado para simulação de escoamentos incompressíveis.” 2011. Web. 21 Jan 2021.
Vancouver:
Rogenski JK. Desenvolvimento e otimização de um código paralelizado para simulação de escoamentos incompressíveis. [Internet] [Masters thesis]. University of São Paulo; 2011. [cited 2021 Jan 21].
Available from: http://www.teses.usp.br/teses/disponiveis/55/55134/tde-12052011-145111/ ;.
Council of Science Editors:
Rogenski JK. Desenvolvimento e otimização de um código paralelizado para simulação de escoamentos incompressíveis. [Masters Thesis]. University of São Paulo; 2011. Available from: http://www.teses.usp.br/teses/disponiveis/55/55134/tde-12052011-145111/ ;
26.
Carvalho Neto, Paulo Mendes de.
Equações de Navier-Stokes com condições de fronteira tipo Navier de fricção.
Degree: Mestrado, Matemática, 2009, University of São Paulo
URL: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-15052009-161835/
;
► Motivados por fenômenos físicos importantes, estudamos as equações bidimensionais de Navier-Stokes, em domínios limitados, com a condição de fronteira tipo Navier de fricção (a velocidade…
(more)
▼ Motivados por fenômenos físicos importantes, estudamos as equações bidimensionais de Navier-Stokes, em domínios limitados, com a condição de fronteira tipo Navier de fricção (a velocidade tangencial é proporcional à componente tangencial do estresse viscoso) e com a condição de fronteira de não penetração (velocidade normal nula). Provamos a existência, unicidade e regularidade de solução para este problema e estabelecemos uma limitação uniforme em \'L POT. INFINITOṕara a vorticidade. Além disso, analisamos o limite invíscido, ou seja, para cada coeficiente de viscosidade \'\μćonsideramos a solução \'u POT.\μd́o problema e provamos que a função \'u =\'\\lim\μ seta 0 \'u POT. \μśatisfaz as equações de Euler incompressíveis. Finalmente, enfraquecendo a regularidade do dado inicial e da força externa, ainda conseguimos provar a existência e a unicidade de solução para o problema. Da mesma forma, provamos que o limite invíscido ainda satisfaz as equações de Euler com dados menos regulares
Motivated by important physical phenomenons, we study the twodimensional Navier- Stokes equations, in bounded domains, with Navier friction type boundary condition (the tangential velocity is proportional to the tangential component of the viscous stress) and the non-penetration boundary condition (zero normal velocity). We prove existence, uniqueness and regularity of the solution to the equations and we deduce a uniform \'L POT. INFINIT\'-bound for the vorticity. Also, we analyze the inviscid limit, that is, for each viscosity coefficient \'\μ\', we consider the solution \'u POT.\μóf the problem and we prove that the function \'u = \\lim_{\μ SETA 0\́'u POT.\μśatisfies the incompressible Euler equations. Finally, weaken the regularity of the initial data and of the external force, we prove existence and uniqueness of a solution to the problem. In the same way, we prove that the inviscid limit satisfies the incompressible Euler equations, with less regular data
Advisors/Committee Members: Planas, Gabriela Del Valle.
Subjects/Keywords: Differential equations; Dinâmica dos fluídos; Equações de Navier-Stokes; Equações diferenciais; Fluid dynamics; Navier-Stokes equations
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APA (6th Edition):
Carvalho Neto, P. M. d. (2009). Equações de Navier-Stokes com condições de fronteira tipo Navier de fricção. (Masters Thesis). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/55/55135/tde-15052009-161835/ ;
Chicago Manual of Style (16th Edition):
Carvalho Neto, Paulo Mendes de. “Equações de Navier-Stokes com condições de fronteira tipo Navier de fricção.” 2009. Masters Thesis, University of São Paulo. Accessed January 21, 2021.
http://www.teses.usp.br/teses/disponiveis/55/55135/tde-15052009-161835/ ;.
MLA Handbook (7th Edition):
Carvalho Neto, Paulo Mendes de. “Equações de Navier-Stokes com condições de fronteira tipo Navier de fricção.” 2009. Web. 21 Jan 2021.
Vancouver:
Carvalho Neto PMd. Equações de Navier-Stokes com condições de fronteira tipo Navier de fricção. [Internet] [Masters thesis]. University of São Paulo; 2009. [cited 2021 Jan 21].
Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-15052009-161835/ ;.
Council of Science Editors:
Carvalho Neto PMd. Equações de Navier-Stokes com condições de fronteira tipo Navier de fricção. [Masters Thesis]. University of São Paulo; 2009. Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-15052009-161835/ ;
Universidade Estadual de Campinas
27.
Pinheiro, Cristyan Chayenne Valino, 1987-.
Análise matemática da interação entre um fluido e um spray: Mathematical analysis of the interaction between a fluid and a spray.
Degree: 2017, Universidade Estadual de Campinas
URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/330795
► Abstract: In this work, we investigate the interaction of a spray of thin particles with a Newtonian, viscous and incompressible fluid. The fluid is governed…
(more)
▼ Abstract: In this work, we investigate the interaction of a spray of thin particles with a Newtonian, viscous and incompressible fluid. The fluid is governed by the Alfa-
Navier-
Stokes equations, whereas the particles/droplets of the spray are described by a density function that satisfies a Vlasov type equation or, when the particles' diffusion is considered, an equation of Vlasov-Fokker-Planck type. The equations are coupled by a drag force, which depends on the relative velocity of the fluid and the spray particles, and the density function. We assume periodic conditions in the spatial domain. For the system of Alfa-
Navier-
Stokes-Vlasov equations we prove existence and regularity of global in-time weak solutions. Furthermore, we investigate the behavior of the solutions when the parameter alfa tends to 0. For the system of equations of Alfa-
Navier-
Stokes-Vlasov-Fokker-Planck we analyze the existence of global in-time weak solutions
Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Planas, Gabriela del Valle, 1972- (advisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Bronzi, Anne Caroline (committee member), Boldrini, José Luiz (committee member), Mazzeo, César Javier Niche (committee member), Araujo, Anderson Luis Albuquerque de (committee member).
Subjects/Keywords: Dinâmica dos fluidos; Sprays (Matemática); Navier-Stokes, Equações de; Fluid dynamics; Sprays (Mathematics); Navier-Stokes equations
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APA ·
Chicago ·
MLA ·
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CSE |
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APA (6th Edition):
Pinheiro, Cristyan Chayenne Valino, 1. (2017). Análise matemática da interação entre um fluido e um spray: Mathematical analysis of the interaction between a fluid and a spray. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/330795
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Pinheiro, Cristyan Chayenne Valino, 1987-. “Análise matemática da interação entre um fluido e um spray: Mathematical analysis of the interaction between a fluid and a spray.” 2017. Thesis, Universidade Estadual de Campinas. Accessed January 21, 2021.
http://repositorio.unicamp.br/jspui/handle/REPOSIP/330795.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Pinheiro, Cristyan Chayenne Valino, 1987-. “Análise matemática da interação entre um fluido e um spray: Mathematical analysis of the interaction between a fluid and a spray.” 2017. Web. 21 Jan 2021.
Vancouver:
Pinheiro, Cristyan Chayenne Valino 1. Análise matemática da interação entre um fluido e um spray: Mathematical analysis of the interaction between a fluid and a spray. [Internet] [Thesis]. Universidade Estadual de Campinas; 2017. [cited 2021 Jan 21].
Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/330795.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Pinheiro, Cristyan Chayenne Valino 1. Análise matemática da interação entre um fluido e um spray: Mathematical analysis of the interaction between a fluid and a spray. [Thesis]. Universidade Estadual de Campinas; 2017. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/330795
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Universidade Estadual de Campinas
28.
Teixeira, Edson José, 1984-.
Estrutura lagrangiana para fluidos isentrópicos compressíveis no semiespaço com condição de fronteira de Navier: Lagrangean structure for isentropic compressible fluid in halfspace with the Navier boundary condition.
Degree: 2014, Universidade Estadual de Campinas
URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/305926
► Abstract: In this work we study the Lagrangian structure for the velocity field of the Navier-Stokes equations for isentropic compressible fluid in the halfspace in…
(more)
▼ Abstract: In this work we study the Lagrangian structure for the velocity field of the
Navier-
Stokes equations for isentropic compressible fluid in the halfspace in R3 with the
Navier boundary condition. We consider the solution of this model obtained by David Hoff in the paper (Compressible Flow in a Half-Space with
Navier Boundary Conditions}, J. Math. Fluid Mech. 7 (2005) 315-338. Our main result states that if the initial velocity belongs to the Sobolev space H8, with 8 >1/2, then the integral curves of the velocity field, i.e. the particles paths, there exist and are unique. We also show some properties of this flow map
Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Santos, Marcelo Martins dos, 1961- (advisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Ferreira, Lucas Catão de Freitas (committee member), Lopes, Helena Judith Nussenzveig (committee member), Bastos, Waldemar Donizete (committee member), Ramirez, Jose Felipe Linares (committee member).
Subjects/Keywords: Estrutura lagrangiana; Fluidos isentrópicos; Fluidos compressíveis; Semiespaço (Matemática); Navier-Stokes, Equações de; Equations, Navier-Stokes; Weak solution; Compressive flow
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APA ·
Chicago ·
MLA ·
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CSE |
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Manager
APA (6th Edition):
Teixeira, Edson José, 1. (2014). Estrutura lagrangiana para fluidos isentrópicos compressíveis no semiespaço com condição de fronteira de Navier: Lagrangean structure for isentropic compressible fluid in halfspace with the Navier boundary condition. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/305926
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Teixeira, Edson José, 1984-. “Estrutura lagrangiana para fluidos isentrópicos compressíveis no semiespaço com condição de fronteira de Navier: Lagrangean structure for isentropic compressible fluid in halfspace with the Navier boundary condition.” 2014. Thesis, Universidade Estadual de Campinas. Accessed January 21, 2021.
http://repositorio.unicamp.br/jspui/handle/REPOSIP/305926.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Teixeira, Edson José, 1984-. “Estrutura lagrangiana para fluidos isentrópicos compressíveis no semiespaço com condição de fronteira de Navier: Lagrangean structure for isentropic compressible fluid in halfspace with the Navier boundary condition.” 2014. Web. 21 Jan 2021.
Vancouver:
Teixeira, Edson José 1. Estrutura lagrangiana para fluidos isentrópicos compressíveis no semiespaço com condição de fronteira de Navier: Lagrangean structure for isentropic compressible fluid in halfspace with the Navier boundary condition. [Internet] [Thesis]. Universidade Estadual de Campinas; 2014. [cited 2021 Jan 21].
Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/305926.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Teixeira, Edson José 1. Estrutura lagrangiana para fluidos isentrópicos compressíveis no semiespaço com condição de fronteira de Navier: Lagrangean structure for isentropic compressible fluid in halfspace with the Navier boundary condition. [Thesis]. Universidade Estadual de Campinas; 2014. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/305926
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
29.
Wu, Di.
Cauchy problem for the incompressible Navier-Stokes equation with an external force and Gevrey smoothing effect for the Prandtl equation : Problème de Cauchy pour les équations de Navier-Stokes en présence d'une force extérieure et l'effet régularisant Gevrey de l'équation de Prandtl.
Degree: Docteur es, Mathématiques, 2017, Sorbonne Paris Cité; Université de Wuhan (Chine)
URL: http://www.theses.fr/2017USPCC194
► Dans cette thèse on étudie des équations de la mécanique des fluides. On considère deux modèles : les équations de Navier-Stokes équation dans R3 en…
(more)
▼ Dans cette thèse on étudie des équations de la mécanique des fluides. On considère deux modèles : les équations de Navier-Stokes équation dans R3 en présence d'une force extérieure, et l'équation de Prandtl dans le demi plan. Pour le système de Navier-Stokes, on s'intéresse à l'existence locale en temps, l'unicité, le comportement global en temps et des critères d'explosion. Pour l'équation de Prandtl dans le demi plan, on s'intéresse à la régularité Gevrey. Le manuscrit est constitué de quatre chapitres. Dans le premier chapitre, on introduit quelques concepts de base sur les équations de la mécanique des fluides et on rappelle le sens physique des deux modèles précédents ainsi que quelques résultats mathématiques. Ensuite on énonce brièvement nos principaux résultats et les motivations. Enfin on mentionne quelques problèmes ouverts. Le second chapitre est consacré au problème de Cauchy pour les équations de Navier-Stokes dans R3 en présence d'une petite force extérieure, peu régulière. On démontre l'existence locale en temps pour ce système pour toute donnée initiale appartenant à un espace de Besov critique avec régularité négative. On obtient de plus trois résultats d'unicité pour ces solutions. Enfin on étudie le comportement en temps grand et la stabilité de solutions a priori globales. Le troisième chapitre traite d'un critère d'explosion pour les équations de Navier-Stokes avec une force extérieure indépendante du temps. On met en place une décomposition en profils pour les équations de Navier-Stokes forcées. Cette décomposition permet de faire un lien entre les équations forcées et non forcées, ce qui permet de traduire une information d'explosion de la solution non forcée vers la solution forcée. Dans le Chapitre 4 on étudie l'effet régularisant Gevrey de la solution locale en temps de l'équation de Prandtl dans le demi plan. Il est bien connu que l'équation de couche limite de Prandtl est instable pour des données initiales générales, et bien posée dans des espaces de Sobolev pour des données initiales monotones. Sous une hypothèse de monotonie de la vitesse tangentielle du flot, on démontre la régularité Gevrey pour la solution de l'équation de Prandtl dans le demi plan pour des données initiales dans un espace de Sobolev.
This thesis deals with equations of fluid dynamics. We consider the following two models: one is the Navier-Stokes equation in R3 with an external force, the other one is the Prandtl equation on the half plane. For the Navier-Stokes system, we focus on the local in time existence, uniqueness, long-time behavior and blowup criterion. For the Prandtl equation on the half-plane, we consider the Gevrey regularity. This thesis consists in four chapters. In the first chapter, we introduce some background on equations of fluid dynamics and recall the physical meaning of the above two models as well as some well-known mathematical results. Next, we state our main results and motivations briefly. At last we mention some open problems. The second chapter is devoted to the Cauchy problem for…
Advisors/Committee Members: Gallagher, Isabelle (thesis director), Xu, Chao-Jiang (thesis director).
Subjects/Keywords: Système de Navier-Stokes; Régularité Gevrey; Critère d'explosion; Navier-Stokes systems; Blow-up criterion; Prandtl equation; Gevrey regularity
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Record Details
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APA ·
Chicago ·
MLA ·
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CSE |
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Manager
APA (6th Edition):
Wu, D. (2017). Cauchy problem for the incompressible Navier-Stokes equation with an external force and Gevrey smoothing effect for the Prandtl equation : Problème de Cauchy pour les équations de Navier-Stokes en présence d'une force extérieure et l'effet régularisant Gevrey de l'équation de Prandtl. (Doctoral Dissertation). Sorbonne Paris Cité; Université de Wuhan (Chine). Retrieved from http://www.theses.fr/2017USPCC194
Chicago Manual of Style (16th Edition):
Wu, Di. “Cauchy problem for the incompressible Navier-Stokes equation with an external force and Gevrey smoothing effect for the Prandtl equation : Problème de Cauchy pour les équations de Navier-Stokes en présence d'une force extérieure et l'effet régularisant Gevrey de l'équation de Prandtl.” 2017. Doctoral Dissertation, Sorbonne Paris Cité; Université de Wuhan (Chine). Accessed January 21, 2021.
http://www.theses.fr/2017USPCC194.
MLA Handbook (7th Edition):
Wu, Di. “Cauchy problem for the incompressible Navier-Stokes equation with an external force and Gevrey smoothing effect for the Prandtl equation : Problème de Cauchy pour les équations de Navier-Stokes en présence d'une force extérieure et l'effet régularisant Gevrey de l'équation de Prandtl.” 2017. Web. 21 Jan 2021.
Vancouver:
Wu D. Cauchy problem for the incompressible Navier-Stokes equation with an external force and Gevrey smoothing effect for the Prandtl equation : Problème de Cauchy pour les équations de Navier-Stokes en présence d'une force extérieure et l'effet régularisant Gevrey de l'équation de Prandtl. [Internet] [Doctoral dissertation]. Sorbonne Paris Cité; Université de Wuhan (Chine); 2017. [cited 2021 Jan 21].
Available from: http://www.theses.fr/2017USPCC194.
Council of Science Editors:
Wu D. Cauchy problem for the incompressible Navier-Stokes equation with an external force and Gevrey smoothing effect for the Prandtl equation : Problème de Cauchy pour les équations de Navier-Stokes en présence d'une force extérieure et l'effet régularisant Gevrey de l'équation de Prandtl. [Doctoral Dissertation]. Sorbonne Paris Cité; Université de Wuhan (Chine); 2017. Available from: http://www.theses.fr/2017USPCC194
30.
Edeling, Wouter Nico.
Quantification of modelling uncertainties in turbulent flow simulations : Quantification des incertitudes de modélisation dans les écoulements turbulents.
Degree: Docteur es, Mécanique des fluides, 2015, Paris, ENSAM; Technische universiteit (Delft, Pays-Bas)
URL: http://www.theses.fr/2015ENAM0007
► Le but de cette thèse est de faire des simulations prédictives à partir de modèles de turbulence de type RANS (Reynolds-Averaged Navier-Stokes). Ces simulations font…
(more)
▼ Le but
de cette thèse est
de faire des simulations prédictives à partir
de modèles
de turbulence
de type RANS (Reynolds-Averaged
Navier-
Stokes). Ces simulations font l'objet d'un traitement systématique du modèle,
de son incertitude et
de leur propagation par le biais d'un modèle
de calcul prédictif aux incertitudes quantifiées. Pour faire cela, nous utilisons le cadre robuste
de la statistique Bayesienne.La première étape vers ce but a été d'obtenir une estimation
de l'erreur
de simulations RANS basées sur le modèle
de turbulence
de Launder-Sharma k-e. Nous avons recherché en particulier à estimer des incertitudes pour les coefficients du modele, pour des écoulements
de parois en gradients favorable et défavorable. Dans le but d'estimer la propagation des coefficients qui reproduisent le plus précisemment ces types d'écoulements, nous avons étudié 13 configurations différentes
de calibrations Bayesienne. Chaque calibration était associée à un gradient
de pression spécifique gràce à un modèle statistique. Nous representont la totalite des incertitudes dans la solution avec une boite-probabilite (p-box). Cette boîte-p représente aussi bien les paramètres
de variabilité
de l'écoulement que les incertitudes epistemiques
de chaque calibration. L'estimation d'un nouvel écoulement
de couche-limite est faite pour des valeurs d'incertitudes générées par cette information sur l'incertitude elle-même. L'erreur d'incertitude qui en résulte est consistante avec les mesures expérimentales.Cependant, malgré l'accord avec les mesures, l'erreur obtenue était encore trop large. Ceci est dû au fait que la boite-p est une prédiction non pondérée. Pour améliorer cela, nous avons développé une autre approche qui repose également sur la variabilité des coefficients
de fermeture du modèle, au travers
de multiples scénarios d'écoulements et
de multiples modèles
de fermeture. La variabilité est là encore estimée par le recours à la calibration Bayesienne et confrontée aux mesures expérimentales
de chaque scénario. Cependant, un scénario-modèle Bayesien moyen (BMSA) est ici utilisé pour faire correspondre les distributions a posteriori à un scénario (prédictif) non mesuré. Contrairement aux boîtes-p, cette approche est une approche pondérée faisant appel aux probabilités des modèles
de turbulence, déterminée par les données
de calibration. Pour tous les scénarios
de prédiction considérés, la déviation standard
de l'estimation stochastique est consistante avec les mesures effectuées.Les résultats
de l'approche BMSA expriment des barres d'erreur raisonnables. Cependant, afin
de l'appliquer à des topologies plus complexes et au-delà
de la classe des écoulements
de couche-limite, des techniques
de modeles
de substitution doivent être mises en places. La méthode
de la collocation Stochastique-Simplex (SSC) est une
de ces techniques et est particulièrement robuste pour la propagation
de distributions d'entrée incertaines dans un code
de calcul. Néanmois, son utilisation
de la triangulation Delaunay peut entrainer un problème
de coût prohibitif pour…
Advisors/Committee Members: Cinnella, Paola (thesis director), Bijl, Hester (thesis director).
Subjects/Keywords: Reynolds-Averaged Navier-Stokes; Statistique Bayesienne; Estimation de l'erreur; Reynolds-Averaged Navier-Stokes; Bayesian Statistics; Error estimation
Record Details
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Share »
Record Details
Similar Records
Cite
« Share
❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Edeling, W. N. (2015). Quantification of modelling uncertainties in turbulent flow simulations : Quantification des incertitudes de modélisation dans les écoulements turbulents. (Doctoral Dissertation). Paris, ENSAM; Technische universiteit (Delft, Pays-Bas). Retrieved from http://www.theses.fr/2015ENAM0007
Chicago Manual of Style (16th Edition):
Edeling, Wouter Nico. “Quantification of modelling uncertainties in turbulent flow simulations : Quantification des incertitudes de modélisation dans les écoulements turbulents.” 2015. Doctoral Dissertation, Paris, ENSAM; Technische universiteit (Delft, Pays-Bas). Accessed January 21, 2021.
http://www.theses.fr/2015ENAM0007.
MLA Handbook (7th Edition):
Edeling, Wouter Nico. “Quantification of modelling uncertainties in turbulent flow simulations : Quantification des incertitudes de modélisation dans les écoulements turbulents.” 2015. Web. 21 Jan 2021.
Vancouver:
Edeling WN. Quantification of modelling uncertainties in turbulent flow simulations : Quantification des incertitudes de modélisation dans les écoulements turbulents. [Internet] [Doctoral dissertation]. Paris, ENSAM; Technische universiteit (Delft, Pays-Bas); 2015. [cited 2021 Jan 21].
Available from: http://www.theses.fr/2015ENAM0007.
Council of Science Editors:
Edeling WN. Quantification of modelling uncertainties in turbulent flow simulations : Quantification des incertitudes de modélisation dans les écoulements turbulents. [Doctoral Dissertation]. Paris, ENSAM; Technische universiteit (Delft, Pays-Bas); 2015. Available from: http://www.theses.fr/2015ENAM0007
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