subject:(Navier Stokes Equation Level Set Methods Semi Lagrangian Methods Chorin s projection method)

1. Artale, Valeria. Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations.

Degree: 2012, Università degli Studi di Catania

URL: http://hdl.handle.net/10761/1106

► The present work is devoted to the study of free boundary problems for Euler and Navier-Stokes equations in primitive variables. The goal of the present… (more)

Subjects/Keywords: Area 01 - Scienze matematiche e informatiche; Navier-Stokes Equation, Level-Set Methods, Semi-Lagrangian Methods, Chorin's projection method

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APA (6^th Edition):

Artale, V. (2012). Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations. (Thesis). Università degli Studi di Catania. Retrieved from http://hdl.handle.net/10761/1106

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Artale, Valeria. “Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations.” 2012. Thesis, Università degli Studi di Catania. Accessed January 19, 2021. http://hdl.handle.net/10761/1106.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Artale, Valeria. “Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations.” 2012. Web. 19 Jan 2021.

Vancouver:

Artale V. Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations. [Internet] [Thesis]. Università degli Studi di Catania; 2012. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/10761/1106.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Artale V. Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations. [Thesis]. Università degli Studi di Catania; 2012. Available from: http://hdl.handle.net/10761/1106

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

King Abdullah University of Science and Technology

2. Williams-Rioux, Bertrand. Level Set Projection Method for Incompressible Navier-Stokes on Arbitrary Boundaries.

Degree: 2012, King Abdullah University of Science and Technology

URL: http://hdl.handle.net/10754/209429

► Second order level set projection method for incompressible Navier-Stokes equations is proposed to solve flow around arbitrary geometries. We used rectilinear grid with collocated cell… (more)

Subjects/Keywords: level set; projection; incompressible; multigrid; navier-stokes

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APA (6^th Edition):

Williams-Rioux, B. (2012). Level Set Projection Method for Incompressible Navier-Stokes on Arbitrary Boundaries. (Thesis). King Abdullah University of Science and Technology. Retrieved from http://hdl.handle.net/10754/209429

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Williams-Rioux, Bertrand. “Level Set Projection Method for Incompressible Navier-Stokes on Arbitrary Boundaries.” 2012. Thesis, King Abdullah University of Science and Technology. Accessed January 19, 2021. http://hdl.handle.net/10754/209429.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Williams-Rioux, Bertrand. “Level Set Projection Method for Incompressible Navier-Stokes on Arbitrary Boundaries.” 2012. Web. 19 Jan 2021.

Vancouver:

Williams-Rioux B. Level Set Projection Method for Incompressible Navier-Stokes on Arbitrary Boundaries. [Internet] [Thesis]. King Abdullah University of Science and Technology; 2012. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/10754/209429.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Williams-Rioux B. Level Set Projection Method for Incompressible Navier-Stokes on Arbitrary Boundaries. [Thesis]. King Abdullah University of Science and Technology; 2012. Available from: http://hdl.handle.net/10754/209429

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California – Berkeley

3. Preskill, Benjamin David. The Jump Splice for Elliptic Interface Problems and the Incompressible Navier-Stokes Equations.

Degree: Mathematics, 2015, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/7611k5nd

► We present a general framework for accurately evaluating finite difference operators in the presence of known discontinuities across an interface. Using these techniques, we develop… (more)

Subjects/Keywords: Mathematics; Applied mathematics; Physics; elliptic interface problems; interface jump condition; level set methods; Navier-Stokes

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APA (6^th Edition):

Preskill, B. D. (2015). The Jump Splice for Elliptic Interface Problems and the Incompressible Navier-Stokes Equations. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/7611k5nd

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Preskill, Benjamin David. “The Jump Splice for Elliptic Interface Problems and the Incompressible Navier-Stokes Equations.” 2015. Thesis, University of California – Berkeley. Accessed January 19, 2021. http://www.escholarship.org/uc/item/7611k5nd.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Preskill, Benjamin David. “The Jump Splice for Elliptic Interface Problems and the Incompressible Navier-Stokes Equations.” 2015. Web. 19 Jan 2021.

Vancouver:

Preskill BD. The Jump Splice for Elliptic Interface Problems and the Incompressible Navier-Stokes Equations. [Internet] [Thesis]. University of California – Berkeley; 2015. [cited 2021 Jan 19]. Available from: http://www.escholarship.org/uc/item/7611k5nd.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Preskill BD. The Jump Splice for Elliptic Interface Problems and the Incompressible Navier-Stokes Equations. [Thesis]. University of California – Berkeley; 2015. Available from: http://www.escholarship.org/uc/item/7611k5nd

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Penn State University

4. Kauffman, Justin A. An Overset Mesh Framework for the Hybridizable Discontinuous Galerkin Finite Element Method.

Degree: 2018, Penn State University

URL: https://submit-etda.libraries.psu.edu/catalog/15005jak5378

► Computational simulations contain discretizations of both a physical domain and a mathematical model. In this dissertation, an overset mesh framework is used to discretize the… (more)

▼ Computational simulations contain discretizations of both a physical domain and a mathematical model. In this dissertation, an overset mesh framework is used to discretize the physical domain, and the hybridizable discontinuous Galerkin (HDG) finite element method is used to discretize the mathematical model. It is proposed that using an overset mesh framework for the HDG method enables stable solutions to be computed for complex geometries and dynamic meshes. Overset mesh methods are chosen because they are efficient at decomposing geometrically complex domains. The HDG method was chosen because it provides solutions that are arbitrarily high-order accurate, reduces the size of the global discrete problem, and has the ability to solve elliptic, parabolic, and/or hyperbolic problems with a unified form of discretization. An overset mesh method can utilize an inherent property of the HDG method, the decomposition of the solution into global (face) and local (volume) parts. The global solution exists only on the cell boundaries; while, the local solution exists in the interior of each cell and is decoupled between neighboring cells. This decomposition introduces face-volume coupling in the weak form for degrees of freedom on cell boundaries, which is used as the foundation for the overset communication between subdomains. Ultimately, the goal of this work is to simulate full-scale hydrodynamic and fluid-structure interaction (FSI) problems. To achieve these simulations, the necessary building blocks must first be verified and validated in the overset-HDG framework. The building blocks demonstrated in this dissertation are steady convection-diffusion, linear elasticostatics, and pseudo-compressible Navier-Stokes in both Eulerian and arbitrary Lagrangian-Eulerian frames. Computational simulations are performed to demonstrate the applicability and accuracy of the overset-HDG algorithm. Advisors/Committee Members: Jonathan S Pitt, Dissertation Advisor/Co-Advisor, Jonathan S Pitt, Committee Chair/Co-Chair, Francesco Costanzo, Committee Member, Corina Stefania Drapaca, Committee Member, James Joseph Brannick, Outside Member, Scott Miller, Special Member.

Subjects/Keywords: Overset Mesh Methods; Hybridizable discontinuous Galerkin; HDG; Finite Element Method; Pseudo-compressibility; Arbitrary Lagrangian-Eulerian; Navier-Stokes; Elasticity

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Kauffman, J. A. (2018). An Overset Mesh Framework for the Hybridizable Discontinuous Galerkin Finite Element Method. (Thesis). Penn State University. Retrieved from https://submit-etda.libraries.psu.edu/catalog/15005jak5378

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Kauffman, Justin A. “An Overset Mesh Framework for the Hybridizable Discontinuous Galerkin Finite Element Method.” 2018. Thesis, Penn State University. Accessed January 19, 2021. https://submit-etda.libraries.psu.edu/catalog/15005jak5378.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Kauffman, Justin A. “An Overset Mesh Framework for the Hybridizable Discontinuous Galerkin Finite Element Method.” 2018. Web. 19 Jan 2021.

Vancouver:

Kauffman JA. An Overset Mesh Framework for the Hybridizable Discontinuous Galerkin Finite Element Method. [Internet] [Thesis]. Penn State University; 2018. [cited 2021 Jan 19]. Available from: https://submit-etda.libraries.psu.edu/catalog/15005jak5378.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kauffman JA. An Overset Mesh Framework for the Hybridizable Discontinuous Galerkin Finite Element Method. [Thesis]. Penn State University; 2018. Available from: https://submit-etda.libraries.psu.edu/catalog/15005jak5378

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

5. Djati, Nabil. Study of interface capturing methods for two-phase flows : Etude des méthodes de suivi d'interface pour les écoulements diphasiques.

Degree: Docteur es, Thermique et énergétique, 2017, Lyon

URL: http://www.theses.fr/2017LYSEI052

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Cette thèse est consacrée au développement et à la comparaison des méthodes de suivi d'interface pour les écoulements diphasiques incompressibles. Elle s'intéresse à la sélection… (more)

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Cette thèse est consacrée au développement et à la comparaison des méthodes de suivi d'interface pour les écoulements diphasiques incompressibles. Elle s'intéresse à la sélection de méthodes robustes de suivi d'interface, puis à leur couplage avec le solveur des équations de Navier-Stokes. La méthode level-set est en premier lieu étudiée, en particulier l'influence du schéma d'advection et de l'étape de réinitialisation sur la qualité des résultats du suivi d'interface. Il a été montré que la méthode de réinitialisation avec contrainte de volume est robuste et précise en combinaison avec des schémas conservatifs WENO d'ordre 5 pour l'advection. Il a été constaté que les erreurs du suivi d'interface augmentent de manière abrupte lorsque la condition CFL est trop petite. Comme remède, la réinitialisation du champ level-set effectuée moins souvent réduit la diffusion numérique et le déplacement non-physique de l'interface. La conservation de la masse n'est pas assurée avec les méthodes level-set. Les méthodes VOF (volume-of-fluid) qui conservent naturellement la masse du fluide de référence sont alors étudiées. Une résolution géométrique avec un schéma consistent et conservatif est alors adoptée, ainsi qu'une autre technique alternative plus aisément extensible en 3D. Il a été trouvé que ces deux dernières méthodes donnent des résultats très proches. La méthode MOF (moment-of-fluid), qui reconstruit l'interface en utilisant le centre de masse du fluide de référence, est plus précise que les méthodes VOF. Différentes méthodes couplées entre level-set et VOF sont alors étudiées, notamment: CLSVOF, MCLS, VOSET et CLSMOF. Il a été observé que la méthode level-set tend à épaissir les filaments minces, tandis que VOF et les méthodes couplées les fragmentent en petites particules. Finalement, on a couplé les méthodes level-set et VOF avec le solveur incompressible des équations de Navier-Stokes. On a comparé différentes manières de prise en compte des conditions de saut à l'interface (lisse et raide). Il a été montré que les méthodes VOF sont plus robustes, et donnent d'excellents résultats pour quasiment toutes les simulations. Deux méthodes level-set donnant de très bons résultats, comparables à ceux de VOF, sont aussi identifiées.

This thesis is devoted to the development and comparison of interface methods for incompressible two-phase flows. It focuses on the selection of robust interface capturing methods, then on the manner of their coupling with the Navier-stokes solver. The level-set method is first investigated, in particular the influence of the advection scheme and the reinitialization step on the accuracy of the interface capturing. It is shown that the volume constraint method for reinitialization is robust and accurate in combination with the conservative fifth-order WENO schemes for the advection. It is found that interface errors increase drastically when the CFL number is very small. As a remedy, reinitializing the level-set field less often reduces the amount of numerical diffusion and non-physical…

Advisors/Committee Members: Knikker, Ronnie (thesis director), Xin, Shihe (thesis director).

Subjects/Keywords: Mécanique des fluides; Ecoulements diphasiques; Ecoulements diphasiques incompressibles; Couplage; Equation de Navier-Stokes; Méthode Level Set; Méthode Volume-Of-Fluid; Fluid mechanics; Two-Phase flows; Incompressible two-Phase flows; Coupling; Level Set Method; Volume-Of-Fluid method; 620.106 072

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Djati, N. (2017). Study of interface capturing methods for two-phase flows : Etude des méthodes de suivi d'interface pour les écoulements diphasiques. (Doctoral Dissertation). Lyon. Retrieved from http://www.theses.fr/2017LYSEI052

Chicago Manual of Style (16^th Edition):

Djati, Nabil. “Study of interface capturing methods for two-phase flows : Etude des méthodes de suivi d'interface pour les écoulements diphasiques.” 2017. Doctoral Dissertation, Lyon. Accessed January 19, 2021. http://www.theses.fr/2017LYSEI052.

MLA Handbook (7^th Edition):

Djati, Nabil. “Study of interface capturing methods for two-phase flows : Etude des méthodes de suivi d'interface pour les écoulements diphasiques.” 2017. Web. 19 Jan 2021.

Vancouver:

Djati N. Study of interface capturing methods for two-phase flows : Etude des méthodes de suivi d'interface pour les écoulements diphasiques. [Internet] [Doctoral dissertation]. Lyon; 2017. [cited 2021 Jan 19]. Available from: http://www.theses.fr/2017LYSEI052.

Council of Science Editors:

Djati N. Study of interface capturing methods for two-phase flows : Etude des méthodes de suivi d'interface pour les écoulements diphasiques. [Doctoral Dissertation]. Lyon; 2017. Available from: http://www.theses.fr/2017LYSEI052

University of Maryland

6. Qin, Zhipeng. INTERFACE ADVECTION AND JUMP CONDITION CAPTURING METHODS FOR MULTIPHASE INCOMPRESSIBLE FLOW.

Degree: Mechanical Engineering, 2015, University of Maryland

URL: http://hdl.handle.net/1903/16515

► In this work, new numerical methods are proposed to efficiently resolve interfaces occurring in multiphase incompressible flows. Multiphase flow problems consist of a large class… (more)

Subjects/Keywords: Mechanical engineering; jump condition; level set method; Multiphase flow; Navier Stoke's equation; reinitialization

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APA (6^th Edition):

Qin, Z. (2015). INTERFACE ADVECTION AND JUMP CONDITION CAPTURING METHODS FOR MULTIPHASE INCOMPRESSIBLE FLOW. (Thesis). University of Maryland. Retrieved from http://hdl.handle.net/1903/16515

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Qin, Zhipeng. “INTERFACE ADVECTION AND JUMP CONDITION CAPTURING METHODS FOR MULTIPHASE INCOMPRESSIBLE FLOW.” 2015. Thesis, University of Maryland. Accessed January 19, 2021. http://hdl.handle.net/1903/16515.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Qin, Zhipeng. “INTERFACE ADVECTION AND JUMP CONDITION CAPTURING METHODS FOR MULTIPHASE INCOMPRESSIBLE FLOW.” 2015. Web. 19 Jan 2021.

Vancouver:

Qin Z. INTERFACE ADVECTION AND JUMP CONDITION CAPTURING METHODS FOR MULTIPHASE INCOMPRESSIBLE FLOW. [Internet] [Thesis]. University of Maryland; 2015. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/1903/16515.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Qin Z. INTERFACE ADVECTION AND JUMP CONDITION CAPTURING METHODS FOR MULTIPHASE INCOMPRESSIBLE FLOW. [Thesis]. University of Maryland; 2015. Available from: http://hdl.handle.net/1903/16515

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Université de Bordeaux I

7. Billaud, Marie. Eléments finis stabilisés pour des écoulements diphasiques compressible-incompressible : Cross to unit, equip to link : the first railways in Savoy : intentions, uses, representations (1830s-1880s).

Degree: Docteur es, Mathématiques appliquées et calcul scientifique, 2009, Université de Bordeaux I

URL: http://www.theses.fr/2009BOR13872

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Dans cette thèse, nous nous intéressons à la simulation numérique d'écoulements instationnaires de deux fluides visqueux non miscibles, séparés par une interface mobile. Plus particulièrement… (more)

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Dans cette thèse, nous nous intéressons à la simulation numérique d'écoulements instationnaires de deux fluides visqueux non miscibles, séparés par une interface mobile. Plus particulièrement des écoulements sans choc constitués d'une phase gazeuse et d'une phase liquide sont considérés. Pour modéliser de tels écoulements, une approche dans laquelle le gaz est décrit par les équations de Navier-Stokes compressible et le liquide par les équations de Navier-Stokes incompressible est proposée. C'est le couplage de ces deux modèles qui constitue l'originalité et l'enjeu principal de de cette thèse. Pour traiter cette difficulté majeure, une méthode globale (i.e. la même dans chaque phase) et simple à mettre en oeuvre est élaborée. L'utilisation des équations de Navier-Stokes formulées de façon unifiée pour les inconnues primitives (pression, vitesse et température) constitue le point de départ pour la construction de notre méthode qui repose sur les composants suivants: une méthode d'éléments finis stabilisés pour la discrétisation spatiale des équations de Navier-Stokes; une approche Level Set pour représenter précisément l'interface dont l'équation de transport a été résolue par une méthode de type Galerkin Discontinu; et des grandeurs moyennes pour traiter les discontinuités à l'interface. Le bon comportement de notre approche est illustré sur différents tests mono et bi-dimensionnels.

In this work, we are interested in the numerical simulation of instationnary viscous flows of two immiscible fluids, separated by a mobile interface. In particular, flows without shock composed of a gas phase and a liquid phase are considered. In order to modelize such flows, an approach in which the gaz is described by compressible Navier-Stokes equations and the liquid by incompressible Navier-Stokes équations is proposed. The coupling between these two models is the originality and the stake of this thesis. To treat this important difficulty, a global (i.e. the same for each phase) and simple method is elaborated. In our procedure we propose, using the Navier-Stokes equations formulated in set of primitives unknowns (pressure, velocity and temperature), to elaborate a strategy that relies on the follow components: the stabilized finite element method to discretize spatially the Navier-Stokes equations; the Level Set method for tracking the interface precisely with a discontinuous Galerkin method to solve the associated transport equation; and some averaged quantities to treat the discontinuities at the interface. The good behaviour of this approach is performed on both one and two spatial dimensions.

Advisors/Committee Members: Nkonga, Boniface (thesis director).

Subjects/Keywords: Ecoulement diphasique; Interface; Navier-Stokes Incompressible; Navier-Stokes compressible; Eléments finis stabilisés,; Méthode Level Set

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Billaud, M. (2009). Eléments finis stabilisés pour des écoulements diphasiques compressible-incompressible : Cross to unit, equip to link : the first railways in Savoy : intentions, uses, representations (1830s-1880s). (Doctoral Dissertation). Université de Bordeaux I. Retrieved from http://www.theses.fr/2009BOR13872

Chicago Manual of Style (16^th Edition):

Billaud, Marie. “Eléments finis stabilisés pour des écoulements diphasiques compressible-incompressible : Cross to unit, equip to link : the first railways in Savoy : intentions, uses, representations (1830s-1880s).” 2009. Doctoral Dissertation, Université de Bordeaux I. Accessed January 19, 2021. http://www.theses.fr/2009BOR13872.

MLA Handbook (7^th Edition):

Billaud, Marie. “Eléments finis stabilisés pour des écoulements diphasiques compressible-incompressible : Cross to unit, equip to link : the first railways in Savoy : intentions, uses, representations (1830s-1880s).” 2009. Web. 19 Jan 2021.

Vancouver:

Billaud M. Eléments finis stabilisés pour des écoulements diphasiques compressible-incompressible : Cross to unit, equip to link : the first railways in Savoy : intentions, uses, representations (1830s-1880s). [Internet] [Doctoral dissertation]. Université de Bordeaux I; 2009. [cited 2021 Jan 19]. Available from: http://www.theses.fr/2009BOR13872.

Council of Science Editors:

Billaud M. Eléments finis stabilisés pour des écoulements diphasiques compressible-incompressible : Cross to unit, equip to link : the first railways in Savoy : intentions, uses, representations (1830s-1880s). [Doctoral Dissertation]. Université de Bordeaux I; 2009. Available from: http://www.theses.fr/2009BOR13872

McMaster University

8. Gustafsson, Carl Fredrik Jonathan. Computational Investigation of Steady Navier-Stokes Flows Past a Circular Obstacle in Two – Dimensional Unbounded Domain.

Degree: PhD, 2012, McMaster University

URL: http://hdl.handle.net/11375/12764

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This thesis is a numerical investigation of two-dimensional steady flows past a circular obstacle. In the fluid dynamics research there are few computational results… (more)

Subjects/Keywords: Fluid Mechanics; steady Navier-Stokes Equation; Oseen Equation; Spectral Methods; Fluid Dynamics; Numerical Analysis and Computation; Partial Differential Equations; Fluid Dynamics

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APA (6^th Edition):

Gustafsson, C. F. J. (2012). Computational Investigation of Steady Navier-Stokes Flows Past a Circular Obstacle in Two – Dimensional Unbounded Domain. (Doctoral Dissertation). McMaster University. Retrieved from http://hdl.handle.net/11375/12764

Chicago Manual of Style (16^th Edition):

Gustafsson, Carl Fredrik Jonathan. “Computational Investigation of Steady Navier-Stokes Flows Past a Circular Obstacle in Two – Dimensional Unbounded Domain.” 2012. Doctoral Dissertation, McMaster University. Accessed January 19, 2021. http://hdl.handle.net/11375/12764.

MLA Handbook (7^th Edition):

Gustafsson, Carl Fredrik Jonathan. “Computational Investigation of Steady Navier-Stokes Flows Past a Circular Obstacle in Two – Dimensional Unbounded Domain.” 2012. Web. 19 Jan 2021.

Vancouver:

Gustafsson CFJ. Computational Investigation of Steady Navier-Stokes Flows Past a Circular Obstacle in Two – Dimensional Unbounded Domain. [Internet] [Doctoral dissertation]. McMaster University; 2012. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/11375/12764.

Council of Science Editors:

Gustafsson CFJ. Computational Investigation of Steady Navier-Stokes Flows Past a Circular Obstacle in Two – Dimensional Unbounded Domain. [Doctoral Dissertation]. McMaster University; 2012. Available from: http://hdl.handle.net/11375/12764

9. -1218-7450. Implicit boundary integral methods.

Degree: PhD, Mathematics, 2015, University of Texas – Austin

URL: http://hdl.handle.net/2152/32830

► Boundary integral methods (BIMs) solve constant coefficient, linear partial differential equations (PDEs) which have been formulated as integral equations. Implicit BIMs (IBIMs) transform these boundary… (more)

▼ Boundary integral methods (BIMs) solve constant coefficient, linear partial differential equations (PDEs) which have been formulated as integral equations. Implicit BIMs (IBIMs) transform these boundary integrals in a level set framework, where the boundaries are described implicitly as the zero level set of a Lipschitz function. The advantage of IBIMs is that they can work on a fixed Cartesian grid without having to parametrize the boundaries. This dissertation extends the IBIM model and develops algorithms for problems in two application areas. The first part of this dissertation considers nonlinear interface dynamics driven by bulk diffusion, which involves solving Dirichlet Laplace Problems for multiply connected regions and propagating the interface according to the solutions of the PDE at each time instant. We develop an algorithm that inherits the advantages of both level set methods (LSMs) and BIMs to simulate the nonlocal front propagation problem with possible topological changes. Simulation results in both 2D and 3D are provided to demonstrate the effectiveness of the algorithm. The second part considers wave scattering problems in unbounded domains. To obtain solutions at eigenfrequencies, boundary integral formulations use a combination of double and single layer potentials to cover the null space of the single layer integral operator. However, the double layer potential leads to a hypersingular integral in Neumann problems. Traditional schemes involve an interpretation of the integral as its Hadamard's Finite Part or a complicated process of element kernel regularization. In this thesis, we introduce an extrapolatory implicit boundary integral method (EIBIM) that evaluates the natural definition of the BIM. It is able to solve the Helmholtz problems at eigenfrequencies and requires no extra complication in different dimensions. We illustrate numerical results in both 2D and 3D for various boundary shapes, which are implicitly described by level set functions. Advisors/Committee Members: Tsai, Yen-Hsi R. (advisor), Arbogast, Todd (committee member), Biros, George (committee member), Engquist, Bjorn (committee member), Ren, Kui (committee member).

Subjects/Keywords: Boundary integral methods; Level set methods; Mullins-Sekerka; Helmholtz equation; Laplace equation; Multiply connected domain; Exterior problem; Differential equation

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APA (6^th Edition):

-1218-7450. (2015). Implicit boundary integral methods. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/32830

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Chicago Manual of Style (16^th Edition):

-1218-7450. “Implicit boundary integral methods.” 2015. Doctoral Dissertation, University of Texas – Austin. Accessed January 19, 2021. http://hdl.handle.net/2152/32830.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

MLA Handbook (7^th Edition):

-1218-7450. “Implicit boundary integral methods.” 2015. Web. 19 Jan 2021.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Vancouver:

-1218-7450. Implicit boundary integral methods. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2015. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/2152/32830.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Council of Science Editors:

-1218-7450. Implicit boundary integral methods. [Doctoral Dissertation]. University of Texas – Austin; 2015. Available from: http://hdl.handle.net/2152/32830

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

University of Manchester

10. Prieto Moreno, Kernel Enrique. Novel mathematical techniques for structural inversion and image reconstruction in medical imaging governed by a transport equation.

Degree: PhD, 2015, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/novel-mathematical-techniques-for-structural-inversion-and-image-reconstruction-in-medical-imaging-governed-by-a-transport-equation(b45f5566-daa7-4d47-a982-cf479e360c6f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.666850

► Since the inverse problem in Diffusive Optical Tomography (DOT) is nonlinear and severely ill-posed, only low resolution reconstructions are feasible when noise is added to… (more)

▼ Since the inverse problem in Diffusive Optical Tomography (DOT) is nonlinear and severely ill-posed, only low resolution reconstructions are feasible when noise is added to the data nowadays. The purpose of this thesis is to improve image reconstruction in DOT of the main optical properties of tissues with some novel mathematical methods. We have used the Landweber (L) method, the Landweber-Kaczmarz (LK) method and its improved Loping-Landweber-Kaczmarz (L-LK) method combined with sparsity or with total variation regularizations for single and simultaneous image reconstructions of the absorption and scattering coefficients. The sparsity method assumes the existence of a sparse solution which has a simple description and is superposed onto a known background. The sparsity method is solved using a smooth gradient and a soft thresholding operator. Moreover, we have proposed an improved sparsity method. For the total variation reconstruction imaging, we have used the split Bregman method and the lagged diffusivity method. For the total variation method, we also have implemented a memory-efficient method to minimise the storage of large Hessian matrices. In addition, an individual and simultaneous contrast value reconstructions are presented using the level set (LS) method. Besides, the shape derivative of DOT based on the RTE is derived using shape sensitivity analysis, and some reconstructions for the absorption coefficient are presented using this shape derivative via the LS method.\\Whereas most of the approaches for solving the nonlinear problem of DOT make use of the diffusion approximation (DA) to the radiative transfer equation (RTE) to model the propagation of the light in tissue, the accuracy of the DA is not satisfactory in situations where the medium is not scattering dominant, in particular close to the light sources and to the boundary, as well as inside low-scattering or non-scattering regions. Therefore, we have solved the inverse problem in DOT by the more accurate time-dependant RTE in two dimensions.

Subjects/Keywords: 616.07; Diffuse optical tomography, radiative transfer equation, Landweber-Kaczmarz, regularization methods, sparsity, total variation, shape derivative, level set method; Split Bregman, Linearised Bregman, Lagged diffusivity methods

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APA (6^th Edition):

Prieto Moreno, K. E. (2015). Novel mathematical techniques for structural inversion and image reconstruction in medical imaging governed by a transport equation. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/novel-mathematical-techniques-for-structural-inversion-and-image-reconstruction-in-medical-imaging-governed-by-a-transport-equation(b45f5566-daa7-4d47-a982-cf479e360c6f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.666850

Chicago Manual of Style (16^th Edition):

Prieto Moreno, Kernel Enrique. “Novel mathematical techniques for structural inversion and image reconstruction in medical imaging governed by a transport equation.” 2015. Doctoral Dissertation, University of Manchester. Accessed January 19, 2021. https://www.research.manchester.ac.uk/portal/en/theses/novel-mathematical-techniques-for-structural-inversion-and-image-reconstruction-in-medical-imaging-governed-by-a-transport-equation(b45f5566-daa7-4d47-a982-cf479e360c6f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.666850.

MLA Handbook (7^th Edition):

Prieto Moreno, Kernel Enrique. “Novel mathematical techniques for structural inversion and image reconstruction in medical imaging governed by a transport equation.” 2015. Web. 19 Jan 2021.

Vancouver:

Prieto Moreno KE. Novel mathematical techniques for structural inversion and image reconstruction in medical imaging governed by a transport equation. [Internet] [Doctoral dissertation]. University of Manchester; 2015. [cited 2021 Jan 19]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/novel-mathematical-techniques-for-structural-inversion-and-image-reconstruction-in-medical-imaging-governed-by-a-transport-equation(b45f5566-daa7-4d47-a982-cf479e360c6f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.666850.

Council of Science Editors:

Prieto Moreno KE. Novel mathematical techniques for structural inversion and image reconstruction in medical imaging governed by a transport equation. [Doctoral Dissertation]. University of Manchester; 2015. Available from: https://www.research.manchester.ac.uk/portal/en/theses/novel-mathematical-techniques-for-structural-inversion-and-image-reconstruction-in-medical-imaging-governed-by-a-transport-equation(b45f5566-daa7-4d47-a982-cf479e360c6f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.666850

11. Guittet, Arthur. Simulation of incompressible viscous flows on distributed Octree grids.

Degree: 2016, University of California – eScholarship, University of California

URL: http://www.escholarship.org/uc/item/5fq2p75m

► This dissertation focuses on numerical simulation methods for continuous problems with irregular interfaces. A common feature of these types of systems is the locality of… (more)

Subjects/Keywords: Applied mathematics; adaptive; level-set; navier-stokes; octree; parallel; voronoi

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APA (6^th Edition):

Guittet, A. (2016). Simulation of incompressible viscous flows on distributed Octree grids. (Thesis). University of California – eScholarship, University of California. Retrieved from http://www.escholarship.org/uc/item/5fq2p75m

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Guittet, Arthur. “Simulation of incompressible viscous flows on distributed Octree grids.” 2016. Thesis, University of California – eScholarship, University of California. Accessed January 19, 2021. http://www.escholarship.org/uc/item/5fq2p75m.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Guittet, Arthur. “Simulation of incompressible viscous flows on distributed Octree grids.” 2016. Web. 19 Jan 2021.

Vancouver:

Guittet A. Simulation of incompressible viscous flows on distributed Octree grids. [Internet] [Thesis]. University of California – eScholarship, University of California; 2016. [cited 2021 Jan 19]. Available from: http://www.escholarship.org/uc/item/5fq2p75m.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Guittet A. Simulation of incompressible viscous flows on distributed Octree grids. [Thesis]. University of California – eScholarship, University of California; 2016. Available from: http://www.escholarship.org/uc/item/5fq2p75m

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

12. Ul Jabbar, Absaar. Efficient and robust monolithic finite element multilevel Krylov subspace solvers for the solution of stationary incompressible Navier-Stokes equations.

Degree: 2018, Technische Universität Dortmund

URL: http://dx.doi.org/10.17877/DE290R-19859

► Multigrid methods belong to the best-known methods for solving linear systems arising from the discretization of elliptic partial differential equations. The main attraction of multigrid… (more)

▼ Multigrid methods belong to the best-known methods for solving linear systems arising from the discretization of elliptic partial differential equations. The main attraction of multigrid methods is that they have an asymptotically meshindependent convergence behavior. Multigrid with Vanka (or local multilevel pressure Schur complement method) as smoother have been frequently used for the construction of very effcient coupled monolithic solvers for the solution of the stationary incompressible Navier-Stokes equations in 2D and 3D. However, due to its innate Gauß-Seidel/Jacobi character, Vanka has a strong influence of the underlying mesh, and therefore, coupled multigrid solvers with Vanka smoothing very frequently face convergence issues on meshes with high aspect ratios. Moreover, even on very nice regular grids, these solvers may fail when the anisotropies are introduced from the differential operator. In this thesis, we develop a new class of robust and efficient monolithic finite element multilevel Krylov subspace methods (MLKM) for the solution of the stationary incompressible Navier-Stokes equations as an alternative to the coupled multigrid-based solvers. Different from multigrid, the MLKM utilizes a Krylov method as the basis in the error reduction process. The solver is based on the multilevel projection-based method of Erlangga and Nabben, which accelerates the convergence of the Krylov subspace methods by shifting the small eigenvalues of the system matrix, responsible for the slow convergence of the Krylov iteration, to the largest eigenvalue. Before embarking on the Navier-Stokes equations, we first test our implementation of the MLKM solver by solving scalar model problems, namely the convection-diffusion problem and the anisotropic diffusion problem. We validate the method by solving several standard benchmark problems. Next, we present the numerical results for the solution of the incompressible Navier-Stokes equations in two dimensions. The results show that the MLKM solvers produce asymptotically mesh-size independent, as well as Reynolds number independent convergence rates, for a moderate range of Reynolds numbers. Moreover, numerical simulations also show that the coupled MLKM solvers can handle (both mesh and operator based) anisotropies better than the coupled multigrid solvers. Advisors/Committee Members: Turek, Stefan (advisor), Blum, Heribert (referee).

Subjects/Keywords: Monolithic multilevel methods; Krylov subspaces; GMRES; FEM; Navier-Stokes equations; Saddle point problems; 510; Multi-level-Verfahren; Krylov-Verfahren; Finite-Elemente-Methode; Navier-Stokes-Gleichung

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ul Jabbar, A. (2018). Efficient and robust monolithic finite element multilevel Krylov subspace solvers for the solution of stationary incompressible Navier-Stokes equations. (Doctoral Dissertation). Technische Universität Dortmund. Retrieved from http://dx.doi.org/10.17877/DE290R-19859

Chicago Manual of Style (16^th Edition):

Ul Jabbar, Absaar. “Efficient and robust monolithic finite element multilevel Krylov subspace solvers for the solution of stationary incompressible Navier-Stokes equations.” 2018. Doctoral Dissertation, Technische Universität Dortmund. Accessed January 19, 2021. http://dx.doi.org/10.17877/DE290R-19859.

MLA Handbook (7^th Edition):

Ul Jabbar, Absaar. “Efficient and robust monolithic finite element multilevel Krylov subspace solvers for the solution of stationary incompressible Navier-Stokes equations.” 2018. Web. 19 Jan 2021.

Vancouver:

Ul Jabbar A. Efficient and robust monolithic finite element multilevel Krylov subspace solvers for the solution of stationary incompressible Navier-Stokes equations. [Internet] [Doctoral dissertation]. Technische Universität Dortmund; 2018. [cited 2021 Jan 19]. Available from: http://dx.doi.org/10.17877/DE290R-19859.

Council of Science Editors:

Ul Jabbar A. Efficient and robust monolithic finite element multilevel Krylov subspace solvers for the solution of stationary incompressible Navier-Stokes equations. [Doctoral Dissertation]. Technische Universität Dortmund; 2018. Available from: http://dx.doi.org/10.17877/DE290R-19859

Temple University

13. Zhou, Dong. High-order numerical methods for pressure Poisson equation reformulations of the incompressible Navier-Stokes equations.

Degree: PhD, 2014, Temple University

URL: http://digital.library.temple.edu/u?/p245801coll10,295839

►

Mathematics

Projection methods for the incompressible Navier-Stokes equations (NSE) are efficient, but introduce numerical boundary layers and have limited temporal accuracy due to their fractional… (more)

Subjects/Keywords: Mathematics;

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Zhou, D. (2014). High-order numerical methods for pressure Poisson equation reformulations of the incompressible Navier-Stokes equations. (Doctoral Dissertation). Temple University. Retrieved from http://digital.library.temple.edu/u?/p245801coll10,295839

Chicago Manual of Style (16^th Edition):

Zhou, Dong. “High-order numerical methods for pressure Poisson equation reformulations of the incompressible Navier-Stokes equations.” 2014. Doctoral Dissertation, Temple University. Accessed January 19, 2021. http://digital.library.temple.edu/u?/p245801coll10,295839.

MLA Handbook (7^th Edition):

Zhou, Dong. “High-order numerical methods for pressure Poisson equation reformulations of the incompressible Navier-Stokes equations.” 2014. Web. 19 Jan 2021.

Vancouver:

Zhou D. High-order numerical methods for pressure Poisson equation reformulations of the incompressible Navier-Stokes equations. [Internet] [Doctoral dissertation]. Temple University; 2014. [cited 2021 Jan 19]. Available from: http://digital.library.temple.edu/u?/p245801coll10,295839.

Council of Science Editors:

Zhou D. High-order numerical methods for pressure Poisson equation reformulations of the incompressible Navier-Stokes equations. [Doctoral Dissertation]. Temple University; 2014. Available from: http://digital.library.temple.edu/u?/p245801coll10,295839

14. Alkosseifi, Clara. Méthodes bi-grilles en éléments finis pour les systèmes phase-fluide : Bi-grids methods in finite elements for phase-field systems.

Degree: Docteur es, Mathématiques, 2018, Amiens

URL: http://www.theses.fr/2018AMIE0048

►

Cette thèse porte sur le développement, l'analyse et la mise en oeuvre de nouvelles méthodes bi-grilles en éléments finis pour des équations de réaction-diffusion de… (more)

▼

Cette thèse porte sur le développement, l'analyse et la mise en oeuvre de nouvelles méthodes bi-grilles en éléments finis pour des équations de réaction-diffusion de type champs de phase (Allen-Cahn, Cahn-Hilliard) ainsi que leur couplage avec les équations de Navier-Stokes 2D incompressible. La présence d'un petit paramètre (largeur de l'interface) dans les modèles à interface diffuse demande à utiliser des schémas temporels implicites et coûteux tandis que ceux semi implicites sont rapides mais limités en stabilité. Les nouveaux schémas introduits ici reposent sur l'utilisation conjointe de deux espaces d'éléments finis, un grossier VH et un fin Vh, de plus grande dimension, permettant de décomposer la solution en partie principale portant les composantes bas modeset en une partie fluctuante portant les modes élevés. L'approche bi-grilles proposée consiste à appliquer les schémas stables (coûteux) sur VH (prédiction) et à effectuer une correction sur Vh à l'aide d'un schéma linéaire dont les composantes modes élevés sont stabilisées. Un gain important en temps CPU est obtenu au prix d'une faible perte de consistance. Dans ce contexte, de nouvelles méthodes numériques sont proposées pour les modèles de champs de phase et leur couplage fluide. Nous donnons des résultats de stabilité et validons l'approche sur des bancs d'essais

This thesis deals with the development, the analysis and the implementation of new bi-grid schemes in finite elements, when applied to phase-field models such as Allen-Cahn (AC) and Cahn-Hilliard (CH) equations but also their coupling with 2D incompressible Navier-Stokes equations. Due to the presence of a small parameter, namely the length of the diffuse interface, and in order to recover the intrinsic properties of the solution, (costly) implicit time schemes must be used; semi-implicit time schemes are fast but suffer from a hard time step limitation. The new schemes introduced in the present work are based on the use of two FEM spaces, one coarse VH and one fine Vh, of larger dimension. This allows to decompose the solution into a main part (containing only low mode components) and a fluctuant part capturing the high mode ones. The bi-grid approach consists then in applying as a prediction an unconditional stable scheme (costly) to VH and to update the solution in Vh by using a high mode stabilized linear scheme. A gain in CPU time is obtained while the consistency is not deteriorated. This approach is extended to NSE and to coupled models (AC/NSE) and (CH/NSE). Stability results are given, the numerical simulations are validated on reference benchmarks

Advisors/Committee Members: Chehab, Jean-Paul (thesis director), Abboud, Hyam (thesis director).

Subjects/Keywords: Séparation d'échelles; Projection Chorin-Temam; Equation d'Allen-Cahn

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Alkosseifi, C. (2018). Méthodes bi-grilles en éléments finis pour les systèmes phase-fluide : Bi-grids methods in finite elements for phase-field systems. (Doctoral Dissertation). Amiens. Retrieved from http://www.theses.fr/2018AMIE0048

Chicago Manual of Style (16^th Edition):

Alkosseifi, Clara. “Méthodes bi-grilles en éléments finis pour les systèmes phase-fluide : Bi-grids methods in finite elements for phase-field systems.” 2018. Doctoral Dissertation, Amiens. Accessed January 19, 2021. http://www.theses.fr/2018AMIE0048.

MLA Handbook (7^th Edition):

Alkosseifi, Clara. “Méthodes bi-grilles en éléments finis pour les systèmes phase-fluide : Bi-grids methods in finite elements for phase-field systems.” 2018. Web. 19 Jan 2021.

Vancouver:

Alkosseifi C. Méthodes bi-grilles en éléments finis pour les systèmes phase-fluide : Bi-grids methods in finite elements for phase-field systems. [Internet] [Doctoral dissertation]. Amiens; 2018. [cited 2021 Jan 19]. Available from: http://www.theses.fr/2018AMIE0048.

Council of Science Editors:

Alkosseifi C. Méthodes bi-grilles en éléments finis pour les systèmes phase-fluide : Bi-grids methods in finite elements for phase-field systems. [Doctoral Dissertation]. Amiens; 2018. Available from: http://www.theses.fr/2018AMIE0048

Pontifical Catholic University of Rio de Janeiro

15. ISMAEL ANDRADE PIMENTEL. [en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA.

Degree: 2018, Pontifical Catholic University of Rio de Janeiro

URL: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594

►

[pt] Esta tese propõe um método meshfree adaptativo de advecção para problemas de fluxo bifásico de fluidos incompressíveis e imiscíveis em meios porosos heterogêneos tridimensionais.… (more)

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[pt] Esta tese propõe um método meshfree adaptativo de advecção para problemas de fluxo bifásico de fluidos incompressíveis e imiscíveis em meios porosos heterogêneos tridimensionais. Este método se baseia principalmente na combinação do método Semi-Lagrangeano adaptativo com interpolação local meshfree usando splines poliharmônicas como funções de base radial. O método proposto é uma melhoria e uma extensão do método adaptativo meshfree AMMoC proposto por Iske e Kaser (2005) para modelagem 2D de reservatórios de petróleo. Inicialmente este trabalho propõe um modelo em duas dimensões, contribuindo com uma melhoria significativa no cálculo do Laplaciano, utilizando os métodos meshfree de Hermite e Kansa. Depois, o método é ampliado para três dimensões (3D) e para um meio poroso heterogêneo. O método proposto é testado com o problema de five spot e os resultados são comparados com os obtidos por sistemas bem conhecidos na indústria de petróleo.

[en] This thesis proposes an adaptive meshfree advection method for two-phase flow problems of incompressible and immiscible fluids through three-dimensional heterogeneous porous media. This method is based mainly on a combination of adaptive semi-Lagrangian method with local meshfree interpolation using polyharmonic splines as radial basis functions. The proposed method is an improvement and extension of the adaptive meshfree advection scheme AMMoC proposed by Iske and Kaser (2005) for 2D oil reservoir modeling. Initially this work proposes a model in two dimensions, contributing to a significant improvement in the calculation of the Laplacian, using the meshfree methods of Hermite and Kansa. Then, the method is extended to three dimensions (3D) and a heterogeneous porous medium. The proposed method is tested with the five spot problem and the results are compared with those obtained by well-known systems in the oil industry.

Advisors/Committee Members: MARCELO DE ANDRADE DREUX, MARCELO DE ANDRADE DREUX.

Subjects/Keywords: [pt] MECANICA COMPUTACIONAL; [en] COMPUTATIONAL MECHANICS; [pt] COMPUTACAO GRAFICA; [en] COMPUTER GRAPHICS; [pt] METODOS NUMERICOS; [en] NUMERICAL METHODS; [pt] SIMULACAO DE FLUIDOS; [en] FLUID SIMULATION; [pt] MEIOS POROSOS HETEROGENEOS; [en] HETEROGENEOUS POROUS MEDIA; [pt] ADAPTATIVO; [en] ADAPTIVE; [pt] LEVEL SET; [en] LEVEL SET; [pt] SEMI-LAGRANGEANO; [en] SEMI-LAGRANGIAN; [pt] ADVECCAO; [en] ADVECTION; [pt] MESHFREE; [en] MESHFREE

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

PIMENTEL, I. A. (2018). [en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA. (Thesis). Pontifical Catholic University of Rio de Janeiro. Retrieved from http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

PIMENTEL, ISMAEL ANDRADE. “[en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA.” 2018. Thesis, Pontifical Catholic University of Rio de Janeiro. Accessed January 19, 2021. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

PIMENTEL, ISMAEL ANDRADE. “[en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA.” 2018. Web. 19 Jan 2021.

Vancouver:

PIMENTEL IA. [en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA. [Internet] [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2018. [cited 2021 Jan 19]. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

PIMENTEL IA. [en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA. [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2018. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Université Paris-Sud – Paris XI

16. Wang, Yushan. Solving incompressible Navier-Stokes equations on heterogeneous parallel architectures : Résolution des équations de Navier-Stokes incompressibles sur architectures parallèles hétérogènes.

Degree: Docteur es, Informatique, 2015, Université Paris-Sud – Paris XI

URL: http://www.theses.fr/2015PA112047

►

Dans cette thèse, nous présentons notre travail de recherche dans le domaine du calcul haute performance en mécanique des fluides. Avec la demande croissante de… (more)

▼

Dans cette thèse, nous présentons notre travail de recherche dans le domaine du calcul haute performance en mécanique des fluides. Avec la demande croissante de simulations à haute résolution, il est devenu important de développer des solveurs numériques pouvant tirer parti des architectures récentes comprenant des processeurs multi-cœurs et des accélérateurs. Nous nous proposons dans cette thèse de développer un solveur efficace pour la résolution sur architectures hétérogènes CPU/GPU des équations de Navier-Stokes (NS) relatives aux écoulements 3D de fluides incompressibles.Tout d'abord nous présentons un aperçu de la mécanique des fluides avec les équations de NS pour fluides incompressibles et nous présentons les méthodes numériques existantes. Nous décrivons ensuite le modèle mathématique, et la méthode numérique choisie qui repose sur une technique de prédiction-projection incrémentale.Nous obtenons une distribution équilibrée de la charge de calcul en utilisant une méthode de décomposition de domaines. Une parallélisation à deux niveaux combinée avec de la vectorisation SIMD est utilisée dans notre implémentation pour exploiter au mieux les capacités des machines multi-cœurs. Des expérimentations numériques sur différentes architectures parallèles montrent que notre solveur NS obtient des performances satisfaisantes et un bon passage à l'échelle.Pour améliorer encore la performance de notre solveur NS, nous intégrons le calcul sur GPU pour accélérer les tâches les plus coûteuses en temps de calcul. Le solveur qui en résulte peut être configuré et exécuté sur diverses architectures hétérogènes en spécifiant le nombre de processus MPI, de threads, et de GPUs.Nous incluons également dans ce manuscrit des résultats de simulations numériques pour des benchmarks conçus à partir de cas tests physiques réels. Les résultats obtenus par notre solveur sont comparés avec des résultats de référence. Notre solveur a vocation à être intégré dans une future bibliothèque de mécanique des fluides pour le calcul sur architectures parallèles CPU/GPU.

In this PhD thesis, we present our research in the domain of high performance software for computational fluid dynamics (CFD). With the increasing demand of high-resolution simulations, there is a need of numerical solvers that can fully take advantage of current manycore accelerated parallel architectures. In this thesis we focus more specifically on developing an efficient parallel solver for 3D incompressible Navier-Stokes (NS) equations on heterogeneous CPU/GPU architectures. We first present an overview of the CFD domain along with the NS equations for incompressible fluid flows and existing numerical methods. We describe the mathematical model and the numerical method that we chose, based on an incremental prediction-projection method.A balanced distribution of the computational workload is obtained by using a domain decomposition method. A two-level parallelization combined with SIMD vectorization is used in our implementation to take advantage of the current distributed…

Advisors/Committee Members: Baboulin, Marc (thesis director), Le Maître, Olivier P. (thesis director).

Subjects/Keywords: Équations de Navier-Stokes; Méthode de prédiction-projection; Calcul haute performance; Parallélisation multi-niveaux; Calcul sur GPU; Navier-Stokes equations; Prediction-projection method; Helmholtz solver; Poisson solver; High performance computing; Multi-level parallelization; GPU computing

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Wang, Y. (2015). Solving incompressible Navier-Stokes equations on heterogeneous parallel architectures : Résolution des équations de Navier-Stokes incompressibles sur architectures parallèles hétérogènes. (Doctoral Dissertation). Université Paris-Sud – Paris XI. Retrieved from http://www.theses.fr/2015PA112047

Chicago Manual of Style (16^th Edition):

Wang, Yushan. “Solving incompressible Navier-Stokes equations on heterogeneous parallel architectures : Résolution des équations de Navier-Stokes incompressibles sur architectures parallèles hétérogènes.” 2015. Doctoral Dissertation, Université Paris-Sud – Paris XI. Accessed January 19, 2021. http://www.theses.fr/2015PA112047.

MLA Handbook (7^th Edition):

Wang, Yushan. “Solving incompressible Navier-Stokes equations on heterogeneous parallel architectures : Résolution des équations de Navier-Stokes incompressibles sur architectures parallèles hétérogènes.” 2015. Web. 19 Jan 2021.

Vancouver:

Wang Y. Solving incompressible Navier-Stokes equations on heterogeneous parallel architectures : Résolution des équations de Navier-Stokes incompressibles sur architectures parallèles hétérogènes. [Internet] [Doctoral dissertation]. Université Paris-Sud – Paris XI; 2015. [cited 2021 Jan 19]. Available from: http://www.theses.fr/2015PA112047.

Council of Science Editors:

Wang Y. Solving incompressible Navier-Stokes equations on heterogeneous parallel architectures : Résolution des équations de Navier-Stokes incompressibles sur architectures parallèles hétérogènes. [Doctoral Dissertation]. Université Paris-Sud – Paris XI; 2015. Available from: http://www.theses.fr/2015PA112047

17. Glanc, Pierre. Approximation numérique de l'équation de Vlasov par des méthodes de type remapping conservatif : Numerical approximation of Vlasov equation by conservative remapping type methods.

Degree: Docteur es, Mathématiques appliquées, 2014, Université de Strasbourg

URL: http://www.theses.fr/2014STRAD001

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Cette thèse présente l'étude et le développement de méthodes numériques pour la résolution d'équations de transport, en particulier d'une méthode de remapping bidimensionnel dont un… (more)

Subjects/Keywords: Équation de Vlasov; Méthodes conservatives; Méthodes semi-lagrangiennes; Intersections de maillages; Vlasov equation; Conservative methods; Semi-lagrangian methods; Intersection of meshes; 518

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Glanc, P. (2014). Approximation numérique de l'équation de Vlasov par des méthodes de type remapping conservatif : Numerical approximation of Vlasov equation by conservative remapping type methods. (Doctoral Dissertation). Université de Strasbourg. Retrieved from http://www.theses.fr/2014STRAD001

Chicago Manual of Style (16^th Edition):

Glanc, Pierre. “Approximation numérique de l'équation de Vlasov par des méthodes de type remapping conservatif : Numerical approximation of Vlasov equation by conservative remapping type methods.” 2014. Doctoral Dissertation, Université de Strasbourg. Accessed January 19, 2021. http://www.theses.fr/2014STRAD001.

MLA Handbook (7^th Edition):

Glanc, Pierre. “Approximation numérique de l'équation de Vlasov par des méthodes de type remapping conservatif : Numerical approximation of Vlasov equation by conservative remapping type methods.” 2014. Web. 19 Jan 2021.

Vancouver:

Glanc P. Approximation numérique de l'équation de Vlasov par des méthodes de type remapping conservatif : Numerical approximation of Vlasov equation by conservative remapping type methods. [Internet] [Doctoral dissertation]. Université de Strasbourg; 2014. [cited 2021 Jan 19]. Available from: http://www.theses.fr/2014STRAD001.

Council of Science Editors:

Glanc P. Approximation numérique de l'équation de Vlasov par des méthodes de type remapping conservatif : Numerical approximation of Vlasov equation by conservative remapping type methods. [Doctoral Dissertation]. Université de Strasbourg; 2014. Available from: http://www.theses.fr/2014STRAD001

18. Mounsamy, Jean-Marc. Modélisation numérique de l’hydrodynamique côtière : application à la zone cotière de Pointe-à-Pitre : Evaluation and ecological-economic scenarios of tropical coastal fisheries : the case of the french guiana.

Degree: Docteur es, Mathématiques appliquées, 2013, Université des Antilles et de la Guyane

URL: http://www.theses.fr/2013AGUY0631

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Ce travail de thèse est consacré à l'étude numérique de la forme instationnaire des équations de Navier – Stokes incompressibles en dimension trois d'espace. Ces équations… (more)

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Ce travail de thèse est consacré à l'étude numérique de la forme instationnaire des équations de Navier – Stokes incompressibles en dimension trois d'espace. Ces équations sont étudiées dans leur formulation classique mais aussi dans leur formulation hydrostatique. Le schéma en temps est résolu à l'aide d'une méthode de projection, la méthode de projection incrémentale standard qui sert de référence à l'étude numérique des nouvelles méthodes proposées: la méthode de projection hydrostatique et la méthode de projection dynamique étendue. Ces méthodes sont combinées à la méthode de pénalisation de volume qui permet de tenir compte de la présence d'obstacles de forme quelconque dans le domaine de simulation en utilisant un maillage cartésien. Une nouvelle expression des équations de Navier – Stokes hydrostatiques issue de l'application de la méthode de pénalisation de volume est obtenue et étudiée. La discrétisation en espace s'effectue en utilisant la méthode des volumes finis sur une maillage décalé de type MAC. Un nouveau code de calcul baptisé VivAn'O a été conçu et validé durant ce travail. Il a permis l'étude numérique des différentes méthodes proposées et a également permis de réaliser des simulations dans la zone portuaire de Pointe-à-Pitre à partir de données bathymétriques réelles.

The present work is about the numerical study of the three dimensional form of the unstationnary Navier – Stokesequations. These equations are studied under their classical form but also under their hydrostatic one. Thetime – dependent problem is solved using a projection method called the standard incremental projection method which isused as the reference to the numerical study of the new projection methods we proposed : the hydrostatic projectionmethod and the extended dynamical projection method. These methods are combined with a volume penalization methodto take into account obstacles of any shape in the simulation domain using cartesian meshes. A new formulation of the hydrostatic Navier – Stokes equations is obtained from the use of the penalization method and studied. The space isdiscretized using the finite volume method on a staggered MAC mesh.A new computational fluid dynamic code nammed VivAn'O have been developped during this work. It had permitted thenumerical study of the proposed methods. It was also used to carry out simulations in the harbour area of Pointe – à – Pitre usine real bathvmetric data.

Advisors/Committee Members: Laminie, Jacques (thesis director), Poullet, Pascal (thesis director).

Subjects/Keywords: Navier-Stokes incompressible; Formulation hydrostatique; Mécanique des fluides calculatoire; Méthode de projection; Incompressible Navier; Hydrostatic formulation; Computional fluid dynamic; Projection method

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Mounsamy, J. (2013). Modélisation numérique de l’hydrodynamique côtière : application à la zone cotière de Pointe-à-Pitre : Evaluation and ecological-economic scenarios of tropical coastal fisheries : the case of the french guiana. (Doctoral Dissertation). Université des Antilles et de la Guyane. Retrieved from http://www.theses.fr/2013AGUY0631

Chicago Manual of Style (16^th Edition):

Mounsamy, Jean-Marc. “Modélisation numérique de l’hydrodynamique côtière : application à la zone cotière de Pointe-à-Pitre : Evaluation and ecological-economic scenarios of tropical coastal fisheries : the case of the french guiana.” 2013. Doctoral Dissertation, Université des Antilles et de la Guyane. Accessed January 19, 2021. http://www.theses.fr/2013AGUY0631.

MLA Handbook (7^th Edition):

Mounsamy, Jean-Marc. “Modélisation numérique de l’hydrodynamique côtière : application à la zone cotière de Pointe-à-Pitre : Evaluation and ecological-economic scenarios of tropical coastal fisheries : the case of the french guiana.” 2013. Web. 19 Jan 2021.

Vancouver:

Mounsamy J. Modélisation numérique de l’hydrodynamique côtière : application à la zone cotière de Pointe-à-Pitre : Evaluation and ecological-economic scenarios of tropical coastal fisheries : the case of the french guiana. [Internet] [Doctoral dissertation]. Université des Antilles et de la Guyane; 2013. [cited 2021 Jan 19]. Available from: http://www.theses.fr/2013AGUY0631.

Council of Science Editors:

Mounsamy J. Modélisation numérique de l’hydrodynamique côtière : application à la zone cotière de Pointe-à-Pitre : Evaluation and ecological-economic scenarios of tropical coastal fisheries : the case of the french guiana. [Doctoral Dissertation]. Université des Antilles et de la Guyane; 2013. Available from: http://www.theses.fr/2013AGUY0631

Indian Institute of Science

19. Pal, Birupaksha. Projection based Variational Multiscale Methods for Incompressible Navier-Stokes Equations to Model Turbulent Flows in Time-dependent Domains.

Degree: PhD, Faculty of Engineering, 2018, Indian Institute of Science

URL: http://etd.iisc.ac.in/handle/2005/3714

► Numerical solution of differential equations having multitude of scales in the solution field is one of the most challenging research areas, but highly demanded in… (more)

▼ Numerical solution of differential equations having multitude of scales in the solution field is one of the most challenging research areas, but highly demanded in scientific and industrial applications. One of the natural approaches for handling such problems is to separate the scales and approximate the solution of the segregated scales with appropriate numerical method. Variational multiscale method (VMS) is a predominant method in the paradigm of scale separation schemes. In our work we have used the VMS technique to develop a numerical scheme for computations of turbulent flows in time-dependent domains. VMS allows separation of the entire range of scales in the flow field into two or three groups, thereby enabling a different numerical treatment for the different groups. In the context of computational fluid dynamics(CFD), VMS is a significant new improvement over the classical large eddy simulation (LES). VMS does away with the commutation errors arising due to filtering in LES. Further, in a three-scale VMS approach the model for the subgrid scale can be contained to only a part of the resolved scales instead of effecting the entire range of resolved scales. The projection based VMS scheme that we have developed gives a robust and efficient method for solving problems of turbulent fluid flows in deforming domains, governed by incompressible Navier {Stokes equations. In addition to the existing challenges due to turbulence, the computational complexity of the problem increases further when the considered domain is time-dependent. In this work, we have used an arbitrary Lagrangian-Eulerian (ALE) based VMS scheme to account for the domain deformation. In the proposed scheme, the large scales are represented by an additional tensor valued space. The resolved large and small scales are computed in a single unified equation, and the effect of unresolved scales is confined only to the resolved small scales, by using a projection operator. The popular Smagorinsky eddy viscosity model is used to approximate the effects of unresolved scales. The used ALE approach consists of an elastic mesh update technique. Moreover, a computationally efficient scheme is obtained by the choice of orthogonal finite element basis function for the resolved large scales, which allows to reformulate the ALE-VMS system matrix into the standard form of the NSE system matrix. Thus, any existing Navier{Stokes solver can be utilized for this scheme, with modifications. Further, the stability and error estimates of the scheme using a linear model of the NSE are also derived. Finally, the proposed scheme has been validated by a number of numerical examples over a wide range of problems. Advisors/Committee Members: Ganesan, Sashikumaar (advisor).

Subjects/Keywords: Turbulent Flow; Incompressible Navier-Stokes Equations; Turbulene Modeling; Magnetohydrodynamics; Turbulent Fluid Flow; Variational Multiscale Method (VMS); Navier{Stokes Equations; Computational Fluid Dynamics (CFD); Arbitrary Lagrangian Eulerian; Time Dependent Domains; Aerofoil; ALE-Oseen Equation; VMS Formulation; Computer Science

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Pal, B. (2018). Projection based Variational Multiscale Methods for Incompressible Navier-Stokes Equations to Model Turbulent Flows in Time-dependent Domains. (Doctoral Dissertation). Indian Institute of Science. Retrieved from http://etd.iisc.ac.in/handle/2005/3714

Chicago Manual of Style (16^th Edition):

Pal, Birupaksha. “Projection based Variational Multiscale Methods for Incompressible Navier-Stokes Equations to Model Turbulent Flows in Time-dependent Domains.” 2018. Doctoral Dissertation, Indian Institute of Science. Accessed January 19, 2021. http://etd.iisc.ac.in/handle/2005/3714.

MLA Handbook (7^th Edition):

Pal, Birupaksha. “Projection based Variational Multiscale Methods for Incompressible Navier-Stokes Equations to Model Turbulent Flows in Time-dependent Domains.” 2018. Web. 19 Jan 2021.

Vancouver:

Pal B. Projection based Variational Multiscale Methods for Incompressible Navier-Stokes Equations to Model Turbulent Flows in Time-dependent Domains. [Internet] [Doctoral dissertation]. Indian Institute of Science; 2018. [cited 2021 Jan 19]. Available from: http://etd.iisc.ac.in/handle/2005/3714.

Council of Science Editors:

Pal B. Projection based Variational Multiscale Methods for Incompressible Navier-Stokes Equations to Model Turbulent Flows in Time-dependent Domains. [Doctoral Dissertation]. Indian Institute of Science; 2018. Available from: http://etd.iisc.ac.in/handle/2005/3714

20. 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

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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)

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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 · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th 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 (16^th 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 19, 2021. http://www.theses.fr/2018SORUS278.

MLA Handbook (7^th Edition):

Omnès, Florian. “Geometry optimization applied to incompressible fluid mechanics : Optimisation géométrique appliquée à la mécanique des fluides incompressibles.” 2018. Web. 19 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 19]. 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

21. Tran, Thi Thanh Mai. Modélisation des problèmes bi-fluides par la méthode des lignes de niveau et l'adaptation du maillage : Application à l'optimisation des formes : Modeling the problem two-fluid flows by the level set method and mesh adaptation : Application to the shape optimization.

Degree: Docteur es, Mathématiques, 2015, Université Pierre et Marie Curie – Paris VI

URL: http://www.theses.fr/2014PA066421

►

La première préoccupation de cette thèse est le problème de deux fluides ou un fluide à deux phases, c’est-à-dire que nous nous sommes intéressés à… (more)

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La première préoccupation de cette thèse est le problème de deux fluides ou un fluide à deux phases, c’est-à-dire que nous nous sommes intéressés à la simulation d’écoulements impliquant deux ou plusieurs fluides visqueux incompressibles immiscibles de propriétés mécaniques et rhéologiques différentes. Dans ce contexte, nous avons considéré que l’interface mobile entre les deux fluides est représentée par la ligne de niveau zéro d’une fonction ligne de niveau et régie par l’équation d’advection, où le champ advectant est la solution des équations de Navier-Stokes. La plupart des méthodes de capture d’interface utilisent une grille cartésienne fixe au cours de la simulation. Contrairement à ces approches, la nôtre est fortement basée sur l’adaptation de maillage, notamment au voisinage de l’interface. Cette adaptation de maillage permet une représentation précise de l’interface, à l’aide de ses propriétés géométriques, avec un nombre de degrés de liberté minimal.La résolution d'un problème à deux fluides est résumée par les étapes suivantes:- Résoudre les équations de Navier-Stokes par la méthode de Lagrange-Galerkin d’ordre 1;- Traitement géométrique la tension de surface se basant sur la discrétisation explicite de l'interface dans le domaine de calcul;- Résoudre l'équation d’advection par la méthode des caractéristiques;- Les techniques de l'adaptation de maillage.On propose ici un schéma entre l’advection de l’interface, la résolution des équations de Navier-Stokes et l’adaptation de maillage. Certains résultats des exemples classiques pour les deux problèmes de monofluide et bifluide comme la cavité entrainée, la rémontée d’une bulle, la coalescence de deux bulles et les instabilités Rayleigh-Taylor sont étudiés en deux et trois dimensions.La deuxième partie de cette thèse est liée à l'optimisation des formes en mécanique des fluides. Nous construisons un schéma numérique en utilisant la méthode des lignes de niveau et l’adaptation de maillage dans le contexte des systèmes de Stokes. Le calcul de la sensibilité de la fonction objective est liée à la méthode de variation des limites d’Hadamard et les dérivées des formes sont calculées par la méthode de Céa. Un exemple numérique avec la fonction objective de la dissipation d'énergie est présenté pour évaluer l'efficacité et la fiabilité du schéma proposé.

The first concern of this thesis is the problem of two fluids flow or two-phase flow, i.e weare interested in the simulation of the evolution of an interface (or a free surface) between twoimmiscible viscous fluids or two phases of a fluid. We propose a general scheme for solving two fluids flow or two-phase flow which takes advantage of the flexibility of the level set method for capturing evolution of the interfaces, including topological changes. Unlike similar approaches that solve the flow problem and the transport equation related to the evolution of the interface on Cartesian grids, our approach relies on an adaptive unstructured mesh to carry out these computations and enjoys an exact and accurate…

Advisors/Committee Members: Frey, Pascal (thesis director).

Subjects/Keywords: Problème bi-Fluide; Méthode des lignes de niveau; Adaptation du maillage; Équation de Navier-Stokes; Méthode des caractéristiques; Optimisation des formes; Two-fluid flows; Level set method; 532.5

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Tran, T. T. M. (2015). Modélisation des problèmes bi-fluides par la méthode des lignes de niveau et l'adaptation du maillage : Application à l'optimisation des formes : Modeling the problem two-fluid flows by the level set method and mesh adaptation : Application to the shape optimization. (Doctoral Dissertation). Université Pierre et Marie Curie – Paris VI. Retrieved from http://www.theses.fr/2014PA066421

Chicago Manual of Style (16^th Edition):

Tran, Thi Thanh Mai. “Modélisation des problèmes bi-fluides par la méthode des lignes de niveau et l'adaptation du maillage : Application à l'optimisation des formes : Modeling the problem two-fluid flows by the level set method and mesh adaptation : Application to the shape optimization.” 2015. Doctoral Dissertation, Université Pierre et Marie Curie – Paris VI. Accessed January 19, 2021. http://www.theses.fr/2014PA066421.

MLA Handbook (7^th Edition):

Tran, Thi Thanh Mai. “Modélisation des problèmes bi-fluides par la méthode des lignes de niveau et l'adaptation du maillage : Application à l'optimisation des formes : Modeling the problem two-fluid flows by the level set method and mesh adaptation : Application to the shape optimization.” 2015. Web. 19 Jan 2021.

Vancouver:

Tran TTM. Modélisation des problèmes bi-fluides par la méthode des lignes de niveau et l'adaptation du maillage : Application à l'optimisation des formes : Modeling the problem two-fluid flows by the level set method and mesh adaptation : Application to the shape optimization. [Internet] [Doctoral dissertation]. Université Pierre et Marie Curie – Paris VI; 2015. [cited 2021 Jan 19]. Available from: http://www.theses.fr/2014PA066421.

Council of Science Editors:

Tran TTM. Modélisation des problèmes bi-fluides par la méthode des lignes de niveau et l'adaptation du maillage : Application à l'optimisation des formes : Modeling the problem two-fluid flows by the level set method and mesh adaptation : Application to the shape optimization. [Doctoral Dissertation]. Université Pierre et Marie Curie – Paris VI; 2015. Available from: http://www.theses.fr/2014PA066421

University of Southern California

22. Reis, Ednei F. Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces.

Degree: PhD, Mathematics, 2011, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/615244/rec/976

► We derive an asymptotic expansion for smooth solutions of the Navier-Stokes equations in weighted spaces. This result removes previous restrictions on the number of terms… (more)

Subjects/Keywords: Navier-Stokes equation; asymptotic expansion

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Reis, E. F. (2011). Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/615244/rec/976

Chicago Manual of Style (16^th Edition):

Reis, Ednei F. “Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces.” 2011. Doctoral Dissertation, University of Southern California. Accessed January 19, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/615244/rec/976.

MLA Handbook (7^th Edition):

Reis, Ednei F. “Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces.” 2011. Web. 19 Jan 2021.

Vancouver:

Reis EF. Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. [Internet] [Doctoral dissertation]. University of Southern California; 2011. [cited 2021 Jan 19]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/615244/rec/976.

Council of Science Editors:

Reis EF. Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. [Doctoral Dissertation]. University of Southern California; 2011. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/615244/rec/976

Universidade Federal de Viçosa

23. 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)

Subjects/Keywords: MATEMATICA; Método de galerkin; Operadores Monótonos; Galerkin method; Monotone operators; Navier-Stokes Equation; Equação de Navier-Stokes

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APA (6^th 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 (16^th 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 19, 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 (7^th Edition):

Silva, Samara Leandro Matos da. “Equações de Navier-Stokes com Viscosidade Variavel na Forma não-Estacionaria.” 2013. Web. 19 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 19]. 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

24. Pena, Dorian. Développement d'un code de givrage tridimensionnel avec méthode Level-Set : Development of a three-dimensional icing code using level-set method.

Degree: Docteur es, Mécanique des fluides, 2016, Strasbourg; Ecole polytechnique (Montréal, Canada)

URL: http://www.theses.fr/2016STRAD014

►

Le travail réalisé dans cette thèse introduit le concept de l'utilisation de la méthode Level-Set pour simuler l'interface Glace/Air au cours du temps lors du… (more)

▼

Le travail réalisé dans cette thèse introduit le concept de l'utilisation de la méthode Level-Set pour simuler l'interface Glace/Air au cours du temps lors du processus de givrage en vol des aéronefs. Pour cela, un code de givrage tri-dimensionnel multi-blocs et parallélisé a été implémenté au sein du solveur NSMB (Navier-Stokes-Multi-Blocks). Il comprend notamment un module de calcul des trajectoires des gouttelettes par une approche Eulérienne compatible avec l'utilisation de grilles chimères et un module thermodynamique pour le calcul des masses de glace incluant deux modèles différents : un modèle algébrique itératif et un modèle à dérivées partielles. Une attention particulière a été portée sur la vérification du code de givrage implémenté en comparant systématiquement, si possible, les résultats obtenus avec les données expérimentales et numériques existantes dans la littérature. Pour cette raison, le module de déformation de maillage existant dans NSMB a été intégré au code implémenté afin de pouvoir simuler le givrage par une méthode traditionnelle. Enfin, un nouveau principe pour le suivi de l'interface glace/air est introduit via l'utilisation d'une méthode Level-Set. Puisque dans ce travail de thèse nous nous intéressons particulièrement au concept, la méthode Level-Set développée est d'ordre un et est résolue implicitement. On montrera cependant que des résultats valides sont obtenus avec une telle approximation.

This thesis introduces the concept of the Level-Set method for simulating the evolution through time of the ice/air interface during the process of in-flight aircraft icing. For that purpose, a three-dimensionnal multi-block and parallelized icing code have been implemented in the NSMB flow solver (Navier-Stokes-Multi-Blocks). It includes a module for calculating the droplet trajectories by an Eulerian approach compatible with the use of chimera grids and a thermodynamic module to calculate the ice masses including two different models : an iterative algebraic model and a PDE model. Particular attention was paid to the validation of the icing code irnplemented by comparing results with existing experimental and numerical data in the literature. For this reason, the existing mesh deformation algorithm in NSMB was integrated into the code to simulate icing by a traditional method. Finally a new principle to track the ice/air interface is introduced using the Level-Set method. Since we are particularly interested in the concept, the Level-Set method developped is first order and solved implicitly. However it will be shown that valid results are obtained with such an approximation.

Advisors/Committee Members: Hoarau, Yannick (thesis director), Laurendeau, Eric (thesis director).

Subjects/Keywords: Givrage; Méthode Eulérienne de transport de particules; Thermodynamique du givrage; Méthode Level-Set; Méthode chimère; Icing; Eulerian approach; Process of in-flight aircraft icing; Level-Set method; Chimeria method; Navier-Stokes-Multi-Blocks; 629.1; 532.5

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Pena, D. (2016). Développement d'un code de givrage tridimensionnel avec méthode Level-Set : Development of a three-dimensional icing code using level-set method. (Doctoral Dissertation). Strasbourg; Ecole polytechnique (Montréal, Canada). Retrieved from http://www.theses.fr/2016STRAD014

Chicago Manual of Style (16^th Edition):

Pena, Dorian. “Développement d'un code de givrage tridimensionnel avec méthode Level-Set : Development of a three-dimensional icing code using level-set method.” 2016. Doctoral Dissertation, Strasbourg; Ecole polytechnique (Montréal, Canada). Accessed January 19, 2021. http://www.theses.fr/2016STRAD014.

MLA Handbook (7^th Edition):

Pena, Dorian. “Développement d'un code de givrage tridimensionnel avec méthode Level-Set : Development of a three-dimensional icing code using level-set method.” 2016. Web. 19 Jan 2021.

Vancouver:

Pena D. Développement d'un code de givrage tridimensionnel avec méthode Level-Set : Development of a three-dimensional icing code using level-set method. [Internet] [Doctoral dissertation]. Strasbourg; Ecole polytechnique (Montréal, Canada); 2016. [cited 2021 Jan 19]. Available from: http://www.theses.fr/2016STRAD014.

Council of Science Editors:

Pena D. Développement d'un code de givrage tridimensionnel avec méthode Level-Set : Development of a three-dimensional icing code using level-set method. [Doctoral Dissertation]. Strasbourg; Ecole polytechnique (Montréal, Canada); 2016. Available from: http://www.theses.fr/2016STRAD014

Texas A&M University

25. Thompson, Travis Brandon. Results towards a Scalable Multiphase Navier-Stokes Solver for High Reynolds Number Flows.

Degree: PhD, Mathematics, 2013, Texas A&M University

URL: http://hdl.handle.net/1969.1/151245

► The incompressible Navier-Stokes equations have proven formidable for nearly a century. The present difficulties are mathematical and computational in nature; the computational requirements, in particular,… (more)

Subjects/Keywords: Navier-Stokes; High Reynolds Number; Turbulence; LES; Large Eddy Simulations; Entropy-Viscosity; Level Set; Level Set Method; Artificial Compression; Artificial Compression Method; ACF; Compressive Flux; Artificial Compressive Flux; Integral Commutator; Consistency Error; Mass Lumping; Dispersion; Dispersive Error; Dispersive Error Correction; Anti-Dispersive

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Thompson, T. B. (2013). Results towards a Scalable Multiphase Navier-Stokes Solver for High Reynolds Number Flows. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/151245

Chicago Manual of Style (16^th Edition):

Thompson, Travis Brandon. “Results towards a Scalable Multiphase Navier-Stokes Solver for High Reynolds Number Flows.” 2013. Doctoral Dissertation, Texas A&M University. Accessed January 19, 2021. http://hdl.handle.net/1969.1/151245.

MLA Handbook (7^th Edition):

Thompson, Travis Brandon. “Results towards a Scalable Multiphase Navier-Stokes Solver for High Reynolds Number Flows.” 2013. Web. 19 Jan 2021.

Vancouver:

Thompson TB. Results towards a Scalable Multiphase Navier-Stokes Solver for High Reynolds Number Flows. [Internet] [Doctoral dissertation]. Texas A&M University; 2013. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/1969.1/151245.

Council of Science Editors:

Thompson TB. Results towards a Scalable Multiphase Navier-Stokes Solver for High Reynolds Number Flows. [Doctoral Dissertation]. Texas A&M University; 2013. Available from: http://hdl.handle.net/1969.1/151245

University of Waterloo

26. Subich, Christopher. Simulation of the Navier-Stokes Equations in Three Dimensions with a Spectral Collocation Method.

Degree: 2011, University of Waterloo

URL: http://hdl.handle.net/10012/5926

► This work develops a nonlinear, three-dimensional spectral collocation method for the simulation of the incompressible Navier-Stokes equations for geophysical and environmental flows. These flows are… (more)

▼ This work develops a nonlinear, three-dimensional spectral collocation method for the simulation of the incompressible Navier-Stokes equations for geophysical and environmental flows. These flows are often driven by the interaction of stratified fluid with topography, which is accurately accounted for in this model using a mapped coordinate system. The spectral collocation method used here evaluates derivatives with a Fourier trigonometric or Chebyshev polynomial expansion as appropriate, and it evaluates the nonlinear terms directly on a collocated grid. The coordinate mapping renders ineffective fast solution methods that rely on separation of variables, so to avoid prohibitively expensive matrix solves this work develops a low-order finite-difference preconditioner for the implicit solution steps. This finite-difference preconditioner is itself too expensive to apply directly, so it is solved pproximately with a geometric multigrid method, using semicoarsening and line relaxation to ensure convergence with locally anisotropic grids. The model is discretized in time with a third-order method developed to allow variable timesteps. This multi-step method explicitly evaluates advective terms and implicitly evaluates pressure and viscous terms. The model’s accuracy is demonstrated with several test cases: growth rates of Kelvin-Helmholtz billows, the interaction of a translating dipole with no-slip boundaries, and the generation of internal waves via topographic interaction. These test cases also illustrate the model’s use from a high-level programming perspective. Additionally, the results of several large-scale simulations are discussed: the three-dimensional dipole/wall interaction, the evolution of internal waves with shear instabilities, and the stability of the bottom boundary layer beneath internal waves. Finally, possible future developments are discussed to extend the model’s capabilities and optimize its performance within the limits of the underlying numerical algorithms.

Subjects/Keywords: fluid dynamics; spectral methods; navier-stokes equations; internal waves

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APA (6^th Edition):

Subich, C. (2011). Simulation of the Navier-Stokes Equations in Three Dimensions with a Spectral Collocation Method. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/5926

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Subich, Christopher. “Simulation of the Navier-Stokes Equations in Three Dimensions with a Spectral Collocation Method.” 2011. Thesis, University of Waterloo. Accessed January 19, 2021. http://hdl.handle.net/10012/5926.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Subich, Christopher. “Simulation of the Navier-Stokes Equations in Three Dimensions with a Spectral Collocation Method.” 2011. Web. 19 Jan 2021.

Vancouver:

Subich C. Simulation of the Navier-Stokes Equations in Three Dimensions with a Spectral Collocation Method. [Internet] [Thesis]. University of Waterloo; 2011. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/10012/5926.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Subich C. Simulation of the Navier-Stokes Equations in Three Dimensions with a Spectral Collocation Method. [Thesis]. University of Waterloo; 2011. Available from: http://hdl.handle.net/10012/5926

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

27. Pham, Thi Trang Nhung. Méthodes numériques pour l'équation de Vlasov réduite : Numerical methods for the reduced Vlasov equation.

Degree: Docteur es, Mathématiques appliquées, 2016, Université de Strasbourg

URL: http://www.theses.fr/2016STRAD051

►

Beaucoup de méthodes numériques ont été développées pour résoudre l'équation de Vlasov, car obtenir des simulations numériques précises en un temps raisonnable pour cette équation… (more)

Subjects/Keywords: Analyse numérique; Plasmas; Modèle de Vlasov-Poisson; Modèle réduit; Modèle de Vlasov-Maxwell; Modèle de drift-kinetic; Equation de quasi-neutralité; Méthode des éléments finis; Méthode des volumes finis; Méthodes semi-Lagrangiennes; Méthode de Galerkin discontinu; Reduced Vlasov equation; Numerical analysis; Plasmas; Model Vlasov-Poisson; Vlasov-Maxwell model; Drift-kinetic model; Equation of quasi-neutrality; Finite element method; Finite volume method; Semi-Lagrangian methods; Discontinuous Galerkin method; 518; 539.7

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Pham, T. T. N. (2016). Méthodes numériques pour l'équation de Vlasov réduite : Numerical methods for the reduced Vlasov equation. (Doctoral Dissertation). Université de Strasbourg. Retrieved from http://www.theses.fr/2016STRAD051

Chicago Manual of Style (16^th Edition):

Pham, Thi Trang Nhung. “Méthodes numériques pour l'équation de Vlasov réduite : Numerical methods for the reduced Vlasov equation.” 2016. Doctoral Dissertation, Université de Strasbourg. Accessed January 19, 2021. http://www.theses.fr/2016STRAD051.

MLA Handbook (7^th Edition):

Pham, Thi Trang Nhung. “Méthodes numériques pour l'équation de Vlasov réduite : Numerical methods for the reduced Vlasov equation.” 2016. Web. 19 Jan 2021.

Vancouver:

Pham TTN. Méthodes numériques pour l'équation de Vlasov réduite : Numerical methods for the reduced Vlasov equation. [Internet] [Doctoral dissertation]. Université de Strasbourg; 2016. [cited 2021 Jan 19]. Available from: http://www.theses.fr/2016STRAD051.

Council of Science Editors:

Pham TTN. Méthodes numériques pour l'équation de Vlasov réduite : Numerical methods for the reduced Vlasov equation. [Doctoral Dissertation]. Université de Strasbourg; 2016. Available from: http://www.theses.fr/2016STRAD051

Brno University of Technology

28. Zubal, Miloš. Realistická animace kouře: Realistic Smoke Animation.

Degree: 2020, Brno University of Technology

URL: http://hdl.handle.net/11012/187561

► This work makes basic analysis of historical and current algorithms for smoke animation. Modern approaches to rendering volumetric data are briefly described. We choose algorithms… (more)

Subjects/Keywords: kouř; dynamika tekutin; Eulerovy rovnice Navier-Strokeovy rovnice; vorticity confinement; semi-Lagrangeovské metody; volume rendering; ray tracing; texture mapping; OpenGL; LaTeX; smoke; fluid dynamics; Euler equations; Navier-Stroke equations; vorticity confinement; semi-Lagrangian methods; volume rendering; ray tracing; texture mapping; OpenGL; LaTeX

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APA (6^th Edition):

Zubal, M. (2020). Realistická animace kouře: Realistic Smoke Animation. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/187561

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Zubal, Miloš. “Realistická animace kouře: Realistic Smoke Animation.” 2020. Thesis, Brno University of Technology. Accessed January 19, 2021. http://hdl.handle.net/11012/187561.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Zubal, Miloš. “Realistická animace kouře: Realistic Smoke Animation.” 2020. Web. 19 Jan 2021.

Vancouver:

Zubal M. Realistická animace kouře: Realistic Smoke Animation. [Internet] [Thesis]. Brno University of Technology; 2020. [cited 2021 Jan 19]. Available from: http://hdl.handle.net/11012/187561.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Zubal M. Realistická animace kouře: Realistic Smoke Animation. [Thesis]. Brno University of Technology; 2020. Available from: http://hdl.handle.net/11012/187561

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

29. 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 (6^th 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 (16^th 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 19, 2021. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-12052011-145111/ ;.

MLA Handbook (7^th Edition):

Rogenski, Josuel Kruppa. “Desenvolvimento e otimização de um código paralelizado para simulação de escoamentos incompressíveis.” 2011. Web. 19 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 19]. 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/ ;

30. Dao, Thu Huyên. Simulation numérique d'écoulements diphasiques par décomposition de domaines : Simulation of two-phase flows by domain decomposition.

Degree: Docteur es, Mathématiques appliquées, 2013, Châtenay-Malabry, Ecole centrale de Paris

URL: http://www.theses.fr/2013ECAP0025

►

Ce travail a été consacré à la simulation numérique des équations de la mécanique des fluides par des méthodes de volumes finis implicites. Tout d’abord,… (more)

▼

Ce travail a été consacré à la simulation numérique des équations de la mécanique des fluides par des méthodes de volumes finis implicites. Tout d’abord, nous avons étudié et mis en place une version implicite du schéma de Roe pour les écoulements monophasiques et diphasiques compressibles. Grâce à la méthode de Newton utilisée pour résoudre les systèmes nonlinéaires, nos schémas sont conservatifs. Malheureusement, la résolution de ces systèmes est très coûteuse. Il est donc impératif d’utiliser des algorithmes de résolution performants. Pour des matrices de grande taille, on utilise souvent des méthodes itératives dont la convergence dépend de leur spectre. Nous avons donc étudié le spectre du système linéaire et proposé une stratégie de Scaling pour améliorer le conditionnement de la matrice. Combinée avec le préconditionneur classique ILU, notre stratégie de Scaling a réduit de façon significative le nombre d’itérations GMRES du système local et le temps de calcul. Nous avons également montré l’intérêt du schéma centré pour la simulation de certains écoulements à faible nombre de Mach. Nous avons ensuite étudié et implémenté la méthode de décomposition de domaine pour les écoulements compressibles. Nous avons proposé une nouvelle variable interface qui rend la méthode du complément de Schur plus facile à construire et nous permet de traiter les termes de diffusion. L’utilisation du solveur itératif GMRES plutôt que Richardson pour le système interface apporte aussi une amélioration des performances par rapport aux autres méthodes. Nous pouvons également découper notre domaine de calcul en un nombre quelconque de sous-domaines. En utilisant la stratégie de Scaling pour le système interface, nous avons amélioré le conditionnement de la matrice et réduit le nombre d’itérations GMRES de ce système. En comparaison avec le calcul distribué classique, nous avons montré que notre méthode est robuste et efficace.

This thesis deals with numerical simulations of compressible fluid flows by implicit finite volume methods. Firstly, we studied and implemented an implicit version of the Roe scheme for compressible single-phase and two-phase flows. Thanks to Newton method for solving nonlinear systems, our schemes are conservative. Unfortunately, the resolution of nonlinear systems is very expensive. It is therefore essential to use an efficient algorithm to solve these systems. For large size matrices, we often use iterative methods whose convergence depends on the spectrum. We have studied the spectrum of the linear system and proposed a strategy, called Scaling, to improve the condition number of the matrix. Combined with the classical ILU preconditioner, our strategy has reduced significantly the GMRES iterations for local systems and the computation time. We also show some satisfactory results for low Mach-number flows using the implicit centered scheme. We then studied and implemented a domain decomposition method for compressible fluid flows. We have proposed a new interface variable which makes the Schur complement…

Advisors/Committee Members: Magoulès, Frédéric (thesis director).

Subjects/Keywords: Volumes finis; Equations de Navier-Stokes; Modèle bifluide; Finite volume methods; Navier-Stokes equations; Two-fluid model

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Dao, T. H. (2013). Simulation numérique d'écoulements diphasiques par décomposition de domaines : Simulation of two-phase flows by domain decomposition. (Doctoral Dissertation). Châtenay-Malabry, Ecole centrale de Paris. Retrieved from http://www.theses.fr/2013ECAP0025

Chicago Manual of Style (16^th Edition):

Dao, Thu Huyên. “Simulation numérique d'écoulements diphasiques par décomposition de domaines : Simulation of two-phase flows by domain decomposition.” 2013. Doctoral Dissertation, Châtenay-Malabry, Ecole centrale de Paris. Accessed January 19, 2021. http://www.theses.fr/2013ECAP0025.

MLA Handbook (7^th Edition):

Dao, Thu Huyên. “Simulation numérique d'écoulements diphasiques par décomposition de domaines : Simulation of two-phase flows by domain decomposition.” 2013. Web. 19 Jan 2021.

Vancouver:

Dao TH. Simulation numérique d'écoulements diphasiques par décomposition de domaines : Simulation of two-phase flows by domain decomposition. [Internet] [Doctoral dissertation]. Châtenay-Malabry, Ecole centrale de Paris; 2013. [cited 2021 Jan 19]. Available from: http://www.theses.fr/2013ECAP0025.

Council of Science Editors:

Dao TH. Simulation numérique d'écoulements diphasiques par décomposition de domaines : Simulation of two-phase flows by domain decomposition. [Doctoral Dissertation]. Châtenay-Malabry, Ecole centrale de Paris; 2013. Available from: http://www.theses.fr/2013ECAP0025

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Open Access Theses and Dissertations