subject:(Navier Stokes equations)

1. Kress, Jessica Elaine. The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility.

Degree: 2012, University of Tennessee – Chattanooga

URL: https://scholar.utc.edu/theses/44

► The development of an explicit unstructured grid finite-volume scheme for solving the full incompressible Navier-Stokes equations along with the energy equation in a strongly coupled… (more)

Subjects/Keywords: Navier-Stokes equations

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APA (6^th Edition):

Kress, J. E. (2012). The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility. (Masters Thesis). University of Tennessee – Chattanooga. Retrieved from https://scholar.utc.edu/theses/44

Chicago Manual of Style (16^th Edition):

Kress, Jessica Elaine. “The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility.” 2012. Masters Thesis, University of Tennessee – Chattanooga. Accessed February 27, 2021. https://scholar.utc.edu/theses/44.

MLA Handbook (7^th Edition):

Kress, Jessica Elaine. “The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility.” 2012. Web. 27 Feb 2021.

Vancouver:

Kress JE. The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility. [Internet] [Masters thesis]. University of Tennessee – Chattanooga; 2012. [cited 2021 Feb 27]. Available from: https://scholar.utc.edu/theses/44.

Council of Science Editors:

Kress JE. The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility. [Masters Thesis]. University of Tennessee – Chattanooga; 2012. Available from: https://scholar.utc.edu/theses/44

2. Erwin, Jon Taylor. Stabilized finite elements for compressible turbulent Navier-Stokes.

Degree: 2013, University of Tennessee – Chattanooga

URL: https://scholar.utc.edu/theses/94

► In this research a stabilized finite element approach is utilized in the development of a high-order flow solver for compressible turbulent flows. The Reynolds averaged… (more)

Subjects/Keywords: Navier-Stokes equations

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APA (6^th Edition):

Erwin, J. T. (2013). Stabilized finite elements for compressible turbulent Navier-Stokes. (Doctoral Dissertation). University of Tennessee – Chattanooga. Retrieved from https://scholar.utc.edu/theses/94

Chicago Manual of Style (16^th Edition):

Erwin, Jon Taylor. “Stabilized finite elements for compressible turbulent Navier-Stokes.” 2013. Doctoral Dissertation, University of Tennessee – Chattanooga. Accessed February 27, 2021. https://scholar.utc.edu/theses/94.

MLA Handbook (7^th Edition):

Erwin, Jon Taylor. “Stabilized finite elements for compressible turbulent Navier-Stokes.” 2013. Web. 27 Feb 2021.

Vancouver:

Erwin JT. Stabilized finite elements for compressible turbulent Navier-Stokes. [Internet] [Doctoral dissertation]. University of Tennessee – Chattanooga; 2013. [cited 2021 Feb 27]. Available from: https://scholar.utc.edu/theses/94.

Council of Science Editors:

Erwin JT. Stabilized finite elements for compressible turbulent Navier-Stokes. [Doctoral Dissertation]. University of Tennessee – Chattanooga; 2013. Available from: https://scholar.utc.edu/theses/94

University of New Mexico

3. Payne, Michael. A Study of the Pressure Term in the Navier-Stokes Equations.

Degree: Mathematics & Statistics, 2013, University of New Mexico

URL: http://hdl.handle.net/1928/23360

► In this paper we consider the Cauchy problem for the 3D \\NS equations for incompressible flows, and their solutions. We will discuss the results of… (more)

Subjects/Keywords: Navier Stokes Equations

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APA (6^th Edition):

Payne, M. (2013). A Study of the Pressure Term in the Navier-Stokes Equations. (Doctoral Dissertation). University of New Mexico. Retrieved from http://hdl.handle.net/1928/23360

Chicago Manual of Style (16^th Edition):

Payne, Michael. “A Study of the Pressure Term in the Navier-Stokes Equations.” 2013. Doctoral Dissertation, University of New Mexico. Accessed February 27, 2021. http://hdl.handle.net/1928/23360.

MLA Handbook (7^th Edition):

Payne, Michael. “A Study of the Pressure Term in the Navier-Stokes Equations.” 2013. Web. 27 Feb 2021.

Vancouver:

Payne M. A Study of the Pressure Term in the Navier-Stokes Equations. [Internet] [Doctoral dissertation]. University of New Mexico; 2013. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/1928/23360.

Council of Science Editors:

Payne M. A Study of the Pressure Term in the Navier-Stokes Equations. [Doctoral Dissertation]. University of New Mexico; 2013. Available from: http://hdl.handle.net/1928/23360

Rutgers University

4. Yan, Xukai, 1987-. Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere.

Degree: PhD, Mathematics, 2017, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/54047/

►

We classify all (-1)-homogeneous axisymmetric no-swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus the south… (more)

Subjects/Keywords: Navier-Stokes equations

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APA (6^th Edition):

Yan, Xukai, 1. (2017). Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/54047/

Chicago Manual of Style (16^th Edition):

Yan, Xukai, 1987-. “Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere.” 2017. Doctoral Dissertation, Rutgers University. Accessed February 27, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/54047/.

MLA Handbook (7^th Edition):

Yan, Xukai, 1987-. “Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere.” 2017. Web. 27 Feb 2021.

Vancouver:

Yan, Xukai 1. Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. [Internet] [Doctoral dissertation]. Rutgers University; 2017. [cited 2021 Feb 27]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/54047/.

Council of Science Editors:

Yan, Xukai 1. Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. [Doctoral Dissertation]. Rutgers University; 2017. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/54047/

Rutgers University

5. Rouhi Youssefi, Mehrnaz, 1985-. Assessment of CFD capability for hypersonic shock wave laminar boundary layer interactions using perfect gas Navier-Stokes equations.

Degree: PhD, Mechanical and Aerospace Engineering, 2016, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/49324/

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The goal of this study is to assess CFD capability for prediction of laminar shock wave/ boundary layer interactions at hypersonic velocities. More speci cally,… (more)

Subjects/Keywords: Navier-Stokes equations; Boundary layer

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APA (6^th Edition):

Rouhi Youssefi, Mehrnaz, 1. (2016). Assessment of CFD capability for hypersonic shock wave laminar boundary layer interactions using perfect gas Navier-Stokes equations. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/49324/

Chicago Manual of Style (16^th Edition):

Rouhi Youssefi, Mehrnaz, 1985-. “Assessment of CFD capability for hypersonic shock wave laminar boundary layer interactions using perfect gas Navier-Stokes equations.” 2016. Doctoral Dissertation, Rutgers University. Accessed February 27, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/49324/.

MLA Handbook (7^th Edition):

Rouhi Youssefi, Mehrnaz, 1985-. “Assessment of CFD capability for hypersonic shock wave laminar boundary layer interactions using perfect gas Navier-Stokes equations.” 2016. Web. 27 Feb 2021.

Vancouver:

Rouhi Youssefi, Mehrnaz 1. Assessment of CFD capability for hypersonic shock wave laminar boundary layer interactions using perfect gas Navier-Stokes equations. [Internet] [Doctoral dissertation]. Rutgers University; 2016. [cited 2021 Feb 27]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/49324/.

Council of Science Editors:

Rouhi Youssefi, Mehrnaz 1. Assessment of CFD capability for hypersonic shock wave laminar boundary layer interactions using perfect gas Navier-Stokes equations. [Doctoral Dissertation]. Rutgers University; 2016. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/49324/

6. Guzzo, Sandro Marcos. Estudo de equações do tipo Navier-Stokes com retardo.

Degree: PhD, Matemática, 2009, University of São Paulo

URL: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01092009-105829/ ;

►

Neste trabalho estudamos a existência de soluções de equações do tipo Navier-Stokes com retardo na força externa e no termo n~ao linear. Usando a teoria… (more)

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Neste trabalho estudamos a existência de soluções de equações do tipo Navier-Stokes com retardo na força externa e no termo n~ao linear. Usando a teoria de semigrupos estudamos a existência de soluções para um problema da forma \'d. SUP. dt u(t) - v\'delta\'u(t) + (F(t, \'u IND.t\'). abla)u(t) + abla p = g(t, \'u IND.t\'), em \'OMEGAx́ (0, T), div u(t) = 0 em \'OMEGAx́ (0, T), u(0, x) = \'u POT.0 (x) x PERTENCE a ÓMEGA\', u(t, x) = 0 t > 0, X \'PERTENCE A\́' PARTIAL\́'OMEGA\', u(t, x) =\φ (t, x) t \'PERTENCE A(́- \'INFINITO\', 0) x \'PERTENCE A\́'OMEGA\', onde F9t, \'uIND.t) = INT.IND.t SUP. -ÍNFINITO\́' ALFA1(s-t)u(s)ds + u(t-r), g(t, \'u IND.t\') = INT. SUP. t IND. - INFINITO \'BETA(́s-t)u(s)ds. Similarmente, usando a tecnica de aproximac~oes de Galerkin, estudamos o problema anterior com F(.) e g(.) dadas por f(t; \'u INDS.t\') = u(t-r(t)); e g(t; \'u IND.t\') = G(u(t-\'rô(́t))), para alguma função G apropriada. Neste caso, também estudamos a estabilidade de soluções estacionarias

In this work we stuy the existence of solutions for a Navier-Stokes typt equations with delay in the external force and in the nonlinear term. Using the semi-group theory we study the existence of solution for a problem in the form \'d. SUP. dt u(t) - v\'delta\'u(t) + (F(t, \'u IND.t\'). abla)u(t) + abla p = g(t, \'u IND.t\'), ijn \'OMEGAx́ (0, T), div u(t) = 0 in \'OMEGAx́ (0, T), u(0, x) = \'u POT.0 (x) x \'IT BELONGS ÓMEGA\', u(t, x) = 0 t > 0, X \'IT BELONGS\́'PARTIAL\́'OMEGA\', u(t, x) =\φ (t, x) t \'IT BELONGS(́- \'INFINITY\', 0) x \'IT BELONGS\́'OMEGA\', where F(t, \'u .t) = INT.IND.t SUP. -ÍNFINITY\́' ALFA(s-t)u(s)ds + u(t-r), g(t, \'u IND.t\') = INT. SUP. t IND. - INFINITY \'BETA(́s-t)u(s)ds. On another hand using the Galerkin appreoximations method we study the same with F(.) e g(.) given by f(t; \'u INDS.t\') = u(t-r(t)); and g(t; \'u IND.t\') = G(u(t-\'rô(́t))), for some G appropriated. In thiis case, we study also the stability of stanionary solutions

Advisors/Committee Members: Morales, Eduardo Alex Hernandez, Planas, Gabriela Del Valle.

Subjects/Keywords: Delay; Equações de Navier-Stokes; Navier-Stokes equations; Retardo

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APA (6^th Edition):

Guzzo, S. M. (2009). Estudo de equações do tipo Navier-Stokes com retardo. (Doctoral Dissertation). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01092009-105829/ ;

Chicago Manual of Style (16^th Edition):

Guzzo, Sandro Marcos. “Estudo de equações do tipo Navier-Stokes com retardo.” 2009. Doctoral Dissertation, University of São Paulo. Accessed February 27, 2021. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01092009-105829/ ;.

MLA Handbook (7^th Edition):

Guzzo, Sandro Marcos. “Estudo de equações do tipo Navier-Stokes com retardo.” 2009. Web. 27 Feb 2021.

Vancouver:

Guzzo SM. Estudo de equações do tipo Navier-Stokes com retardo. [Internet] [Doctoral dissertation]. University of São Paulo; 2009. [cited 2021 Feb 27]. Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01092009-105829/ ;.

Council of Science Editors:

Guzzo SM. Estudo de equações do tipo Navier-Stokes com retardo. [Doctoral Dissertation]. University of São Paulo; 2009. Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01092009-105829/ ;

University of South Carolina

7. Yuan, Shuai. An Ensemble-Based Projection Method and Its Numerical Investigation.

Degree: PhD, Mathematics, 2020, University of South Carolina

URL: https://scholarcommons.sc.edu/etd/5777

► In many cases, partial differential equation (PDE) models involve a set of parameters whose values may vary over a wide range in application problems,… (more)

Subjects/Keywords: Mathematics; partial differential equation; numerical simulations; Navier-Stokes equations; Navier-Stokes

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

APA (6^th Edition):

Yuan, S. (2020). An Ensemble-Based Projection Method and Its Numerical Investigation. (Doctoral Dissertation). University of South Carolina. Retrieved from https://scholarcommons.sc.edu/etd/5777

Chicago Manual of Style (16^th Edition):

Yuan, Shuai. “An Ensemble-Based Projection Method and Its Numerical Investigation.” 2020. Doctoral Dissertation, University of South Carolina. Accessed February 27, 2021. https://scholarcommons.sc.edu/etd/5777.

MLA Handbook (7^th Edition):

Yuan, Shuai. “An Ensemble-Based Projection Method and Its Numerical Investigation.” 2020. Web. 27 Feb 2021.

Vancouver:

Yuan S. An Ensemble-Based Projection Method and Its Numerical Investigation. [Internet] [Doctoral dissertation]. University of South Carolina; 2020. [cited 2021 Feb 27]. Available from: https://scholarcommons.sc.edu/etd/5777.

Council of Science Editors:

Yuan S. An Ensemble-Based Projection Method and Its Numerical Investigation. [Doctoral Dissertation]. University of South Carolina; 2020. Available from: https://scholarcommons.sc.edu/etd/5777

University of Hong Kong

8. Yung, Hoi Yan, Ada. On block preconditioners for the incompressible Navier-Stokes equations.

Degree: 2010, University of Hong Kong

URL: http://hdl.handle.net/10722/130765

Subjects/Keywords: Navier-Stokes equations.

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

APA (6^th Edition):

Yung, Hoi Yan, A. (2010). On block preconditioners for the incompressible Navier-Stokes equations. (Thesis). University of Hong Kong. Retrieved from http://hdl.handle.net/10722/130765

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):

Yung, Hoi Yan, Ada. “On block preconditioners for the incompressible Navier-Stokes equations.” 2010. Thesis, University of Hong Kong. Accessed February 27, 2021. http://hdl.handle.net/10722/130765.

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

MLA Handbook (7^th Edition):

Yung, Hoi Yan, Ada. “On block preconditioners for the incompressible Navier-Stokes equations.” 2010. Web. 27 Feb 2021.

Vancouver:

Yung, Hoi Yan A. On block preconditioners for the incompressible Navier-Stokes equations. [Internet] [Thesis]. University of Hong Kong; 2010. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/10722/130765.

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

Council of Science Editors:

Yung, Hoi Yan A. On block preconditioners for the incompressible Navier-Stokes equations. [Thesis]. University of Hong Kong; 2010. Available from: http://hdl.handle.net/10722/130765

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

Oregon State University

9. Orum, John Christopher. Branching processes and partial differential equations.

Degree: PhD, Mathematics, 2004, Oregon State University

URL: http://hdl.handle.net/1957/15828

► The recursive and stochastic representation of solutions to the Fourier transformed Navier-Stokes equations, as introduced by [34], is extended in several ways. First, associated families… (more)

Subjects/Keywords: Navier-Stokes equations

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APA (6^th Edition):

Orum, J. C. (2004). Branching processes and partial differential equations. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/15828

Chicago Manual of Style (16^th Edition):

Orum, John Christopher. “Branching processes and partial differential equations.” 2004. Doctoral Dissertation, Oregon State University. Accessed February 27, 2021. http://hdl.handle.net/1957/15828.

MLA Handbook (7^th Edition):

Orum, John Christopher. “Branching processes and partial differential equations.” 2004. Web. 27 Feb 2021.

Vancouver:

Orum JC. Branching processes and partial differential equations. [Internet] [Doctoral dissertation]. Oregon State University; 2004. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/1957/15828.

Council of Science Editors:

Orum JC. Branching processes and partial differential equations. [Doctoral Dissertation]. Oregon State University; 2004. Available from: http://hdl.handle.net/1957/15828

University of Illinois – Chicago

10. Kavlie, Landon J. An Investigation of the Forced Navier-Stokes Equations in Two and Three Dimensions.

Degree: 2015, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/19469

► This dissertation is devoted to expanding the classical theory of the forced Navier-Stokes equations. First, we study the regularity of solutions to the two dimensional… (more)

▼ This dissertation is devoted to expanding the classical theory of the forced Navier-Stokes equations. First, we study the regularity of solutions to the two dimensional Navier-Stokes equations with a singular or ``fractal'' forcing term. The classical theory tells us that the two dimensional Navier-Stokes equations gain two derivatives on a sufficiently smooth force. Following these classical methods we extend this result to spaces with negative fractional derivatives. However, these methods break down at a critical value. In this case, we show that one can still gain two derivatives locally in time. Next, we investigate the long-term behavior of both the two dimensional and three dimensional Navier-Stokes equations with a time-dependent force. When the force is independent of time, it is known that the long-term behavior of the Navier-Stokes equations is encapsulated within a set called the global attractor. The global attractor has a nice characterization, even in the three dimensional case, where we still do not know if there exists unique solutions. We present a framework for studying the existence of an analogous object, the pullback attractor, when the force depends on time. We study the existence and structure of these pullback attractors as well as the relationship between the pullback attractor and other existing notions of attractors. Finally, we apply our framework to the two dimensional and three dimensional Navier-Stokes equations with an appropriate time-dependent force. We also study the effect that the size of the force has on the size of the pullback attractor. Finally, we show that if the force is sufficiently small and periodic, there must exist a unique, smooth, periodic solution to the three dimensional Navier-Stokes equations. Advisors/Committee Members: Cheskidov, Alexey (advisor), Bona, Jerry (committee member), Nenciu, Irena (committee member), Shvydkoy, Roman (committee member), Silvestre, Luis (committee member), Sparber, Christof (committee member).

Subjects/Keywords: Navier-Stokes equations; regularity; pullback attractors

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

APA (6^th Edition):

Kavlie, L. J. (2015). An Investigation of the Forced Navier-Stokes Equations in Two and Three Dimensions. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/19469

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):

Kavlie, Landon J. “An Investigation of the Forced Navier-Stokes Equations in Two and Three Dimensions.” 2015. Thesis, University of Illinois – Chicago. Accessed February 27, 2021. http://hdl.handle.net/10027/19469.

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

MLA Handbook (7^th Edition):

Kavlie, Landon J. “An Investigation of the Forced Navier-Stokes Equations in Two and Three Dimensions.” 2015. Web. 27 Feb 2021.

Vancouver:

Kavlie LJ. An Investigation of the Forced Navier-Stokes Equations in Two and Three Dimensions. [Internet] [Thesis]. University of Illinois – Chicago; 2015. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/10027/19469.

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

Council of Science Editors:

Kavlie LJ. An Investigation of the Forced Navier-Stokes Equations in Two and Three Dimensions. [Thesis]. University of Illinois – Chicago; 2015. Available from: http://hdl.handle.net/10027/19469

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

University of Minnesota

11. Albritton, Dallas. Regularity aspects of the Navier-Stokes equations in critical spaces.

Degree: PhD, Mathematics, 2020, University of Minnesota

URL: http://hdl.handle.net/11299/216804

► For better or for worse, our current understanding of the Navier-Stokes regularity problem is intimately connected with certain dimensionless quantities known as critical norms. In… (more)

Subjects/Keywords: blow-up; Navier-Stokes equations; singularity

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

APA (6^th Edition):

Albritton, D. (2020). Regularity aspects of the Navier-Stokes equations in critical spaces. (Doctoral Dissertation). University of Minnesota. Retrieved from http://hdl.handle.net/11299/216804

Chicago Manual of Style (16^th Edition):

Albritton, Dallas. “Regularity aspects of the Navier-Stokes equations in critical spaces.” 2020. Doctoral Dissertation, University of Minnesota. Accessed February 27, 2021. http://hdl.handle.net/11299/216804.

MLA Handbook (7^th Edition):

Albritton, Dallas. “Regularity aspects of the Navier-Stokes equations in critical spaces.” 2020. Web. 27 Feb 2021.

Vancouver:

Albritton D. Regularity aspects of the Navier-Stokes equations in critical spaces. [Internet] [Doctoral dissertation]. University of Minnesota; 2020. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/11299/216804.

Council of Science Editors:

Albritton D. Regularity aspects of the Navier-Stokes equations in critical spaces. [Doctoral Dissertation]. University of Minnesota; 2020. Available from: http://hdl.handle.net/11299/216804

12. Bauer Petr. Mathematical modelling of pollution transport in urban canopy .

Degree: 2011, Czech University of Technology

URL: http://hdl.handle.net/10467/8037

Mathematical modelling of pollution transport in urban canopy; Mathematical modelling of pollution transport in urban canopy Advisors/Committee Members: Jaňour Zbyněk (advisor).

Subjects/Keywords: Navier-Stokes equations; advection-diffusion equation; multigrid

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APA (6^th Edition):

Petr, B. (2011). Mathematical modelling of pollution transport in urban canopy . (Thesis). Czech University of Technology. Retrieved from http://hdl.handle.net/10467/8037

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):

Petr, Bauer. “Mathematical modelling of pollution transport in urban canopy .” 2011. Thesis, Czech University of Technology. Accessed February 27, 2021. http://hdl.handle.net/10467/8037.

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

MLA Handbook (7^th Edition):

Petr, Bauer. “Mathematical modelling of pollution transport in urban canopy .” 2011. Web. 27 Feb 2021.

Vancouver:

Petr B. Mathematical modelling of pollution transport in urban canopy . [Internet] [Thesis]. Czech University of Technology; 2011. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/10467/8037.

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

Council of Science Editors:

Petr B. Mathematical modelling of pollution transport in urban canopy . [Thesis]. Czech University of Technology; 2011. Available from: http://hdl.handle.net/10467/8037

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

University of Hong Kong

13. 鄧倩婷. Finite element solvers and preconditioners for non-rotational and rotational Navier-Stokes equations.

Degree: 2013, University of Hong Kong

URL: http://hdl.handle.net/10722/196498

► Navier-Stokes equations (NSE), the governing equations of incompressible ows, and rotational Navier-Stokes equations (RNSE), which model incompressible rotating ows, are of great importance in many… (more)

▼ Navier-Stokes equations (NSE), the governing equations of incompressible ows, and rotational Navier-Stokes equations (RNSE), which model incompressible rotating ows, are of great importance in many industrial applications. In this thesis, several selected preconditioners for solving NSE are compared and analyzed. These preconditioners are then modified for applying to RNSE. Understanding the physics behind NSE and RNSE is essential when studying these two equations. The derivation of NSE from the law of conservation of mass and law of conservation of momentum is described. RNSE is obtained by changing the frame of reference of NSE to a rotational frame. The rotating effect leads to the extra Coriolis force term in RNSE. The equations are then scaled to dimensionless form to eliminate the effect of physical units. In practice, numerical solution of NSE instead of analytic solution is considered. To apply numerical solvers in this thesis, NSE is discretized by backward differentiation formula in time and finite element method in space. The non-linear term is linearized by extrapolation. The existence and uniqueness of the finite element solutions to NSE are shown in this thesis. Discretization and linearization result in a system of linear equations which is of saddle point type. Generalized minimum residual method (GMRES) is applied to solve the saddle point system so as to improve efficiency. GMRES is combined with preconditioning technique to enhance the convergence. In this thesis, three preconditioners, pressure convection-diffusion (PCD) [18], least squares commutator (LSC) [11] and relaxed dimensional factorization preconditioner (RDF) [4], for non-rotational problems are considered and investigated. The performance of preconditioners is compared in terms of time step dependency, mesh size dependency and Reynolds number (Re) dependency. It is found that PCD shows time step and mesh size independence for small Reynolds number (Re = 500). RDF is the most stable preconditioner among three preconditioners, but it costs slow convergence, which contrasts to the results in [4]. Preconditioners PCD, LSC and RDF are modi_ed to deal with the Coriolis force term in RNSE. Discrete projection method (DPM) [24], an algorithm designed for RNSE, is also considered. This algorithm can also be viewed as a preconditioned iterative method. The time step and Ekman number (Ek) dependency of modi_ed preconditioners and DPM are compared. The numerical results indicates that LSC is the best preconditioner against time step and Ek. DPM is only the second best although it is designed for RNSE. PCD is the worst preconditioner as it shows high Ek dependency. Advisors/Committee Members: Chan, KH (advisor).

Subjects/Keywords: Navier-Stokes equations

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

APA (6^th Edition):

鄧倩婷. (2013). Finite element solvers and preconditioners for non-rotational and rotational Navier-Stokes equations. (Thesis). University of Hong Kong. Retrieved from http://hdl.handle.net/10722/196498

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

Chicago Manual of Style (16^th Edition):

鄧倩婷. “Finite element solvers and preconditioners for non-rotational and rotational Navier-Stokes equations.” 2013. Thesis, University of Hong Kong. Accessed February 27, 2021. http://hdl.handle.net/10722/196498.

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

MLA Handbook (7^th Edition):

鄧倩婷. “Finite element solvers and preconditioners for non-rotational and rotational Navier-Stokes equations.” 2013. Web. 27 Feb 2021.

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

Vancouver:

鄧倩婷. Finite element solvers and preconditioners for non-rotational and rotational Navier-Stokes equations. [Internet] [Thesis]. University of Hong Kong; 2013. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/10722/196498.

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

Council of Science Editors:

鄧倩婷. Finite element solvers and preconditioners for non-rotational and rotational Navier-Stokes equations. [Thesis]. University of Hong Kong; 2013. Available from: http://hdl.handle.net/10722/196498

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

Georgia Tech

14. Boisvert, Robert Eugene. Group analysis of the Navier-Stokes equations.

Degree: PhD, Applied Mathematics, 1982, Georgia Tech

URL: http://hdl.handle.net/1853/28942

Subjects/Keywords: Navier-Stokes equations

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APA (6^th Edition):

Boisvert, R. E. (1982). Group analysis of the Navier-Stokes equations. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/28942

Chicago Manual of Style (16^th Edition):

Boisvert, Robert Eugene. “Group analysis of the Navier-Stokes equations.” 1982. Doctoral Dissertation, Georgia Tech. Accessed February 27, 2021. http://hdl.handle.net/1853/28942.

MLA Handbook (7^th Edition):

Boisvert, Robert Eugene. “Group analysis of the Navier-Stokes equations.” 1982. Web. 27 Feb 2021.

Vancouver:

Boisvert RE. Group analysis of the Navier-Stokes equations. [Internet] [Doctoral dissertation]. Georgia Tech; 1982. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/1853/28942.

Council of Science Editors:

Boisvert RE. Group analysis of the Navier-Stokes equations. [Doctoral Dissertation]. Georgia Tech; 1982. Available from: http://hdl.handle.net/1853/28942

15. Pelley, Rachel Elizabeth. Development of the marker and cell method for use with unstructured meshes.

Degree: PhD, 2013, Swansea University

URL: https://cronfa.swan.ac.uk/Record/cronfa42256 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.678280

► The marker and cell method is an efficient co-volume technique suitable for the solution of incompressible flows using a Cartesian mesh. For flows around complex… (more)

▼ The marker and cell method is an efficient co-volume technique suitable for the solution of incompressible flows using a Cartesian mesh. For flows around complex geometries the use of an unstructured mesh is desirable. For geometric flexibility an unstructured mesh implementation is desirable. A co-volume technique requires a dual orthogonal mesh, in the triangular case the Delaunay-Voronoi dual provides the means for determining this dual orthogonal mesh in an unstructured mesh framework. Certain mesh criteria must be placed on the Delaunay-Voronoi to ensure it meets the dual orthogonal requirements. The two dimensional extension of the marker and cell method to an unstructured framework is presented. The requirements of the mesh are defined and methods in their production are discussed. Initially an explicit time stepping scheme is implemented which allows efficient simulation of incompressible fluid flow problems. Limitations of the explicit time stepping scheme that were discovered, mean that high Reynolds number flows that require the use of stretched meshes cannot produce solutions in a reasonable time period. A semi-implicit time stepping routine removes this limitation allowing these types of flows to be successfully modelled. To validate the solvers accuracy and demonstrate its performance, a number of test cases are presented. These include the lid driven cavity, flow over a backward facing step, inviscid flow around a circular cylinder, unsteady flow around a circular cylinder, flow around an SD7003 aerofoil, flow around a NACA0012 aerofoil and flow around a multi element aerofoil. The investigation although revealing a high dependence on the quality of the mesh still demonstrates that accurate results can be obtained efficiently. The efficiency is demonstrated by comparison to the in-house 2D incompressible finite volume solver for flow around a circular cylinder. For this case the unstructured MAC method produced a solution four times faster than the finite volume code.

Subjects/Keywords: 532; Computational fluid dynamics; Navier-Stokes equations

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

APA (6^th Edition):

Pelley, R. E. (2013). Development of the marker and cell method for use with unstructured meshes. (Doctoral Dissertation). Swansea University. Retrieved from https://cronfa.swan.ac.uk/Record/cronfa42256 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.678280

Chicago Manual of Style (16^th Edition):

Pelley, Rachel Elizabeth. “Development of the marker and cell method for use with unstructured meshes.” 2013. Doctoral Dissertation, Swansea University. Accessed February 27, 2021. https://cronfa.swan.ac.uk/Record/cronfa42256 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.678280.

MLA Handbook (7^th Edition):

Pelley, Rachel Elizabeth. “Development of the marker and cell method for use with unstructured meshes.” 2013. Web. 27 Feb 2021.

Vancouver:

Pelley RE. Development of the marker and cell method for use with unstructured meshes. [Internet] [Doctoral dissertation]. Swansea University; 2013. [cited 2021 Feb 27]. Available from: https://cronfa.swan.ac.uk/Record/cronfa42256 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.678280.

Council of Science Editors:

Pelley RE. Development of the marker and cell method for use with unstructured meshes. [Doctoral Dissertation]. Swansea University; 2013. Available from: https://cronfa.swan.ac.uk/Record/cronfa42256 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.678280

University of British Columbia

16. Savor, Zlatko. Modal finite element method for the navier-stokes equations.

Degree: MS- MSc, Civil Engineering, 1977, University of British Columbia

URL: http://hdl.handle.net/2429/20518

► A modal finite element method is presented for the steady state and transient analyses of the plane flow of incompressible Newtonian fluid. The governing restricted… (more)

Subjects/Keywords: Navier-Stokes equations

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APA (6^th Edition):

Savor, Z. (1977). Modal finite element method for the navier-stokes equations. (Masters Thesis). University of British Columbia. Retrieved from http://hdl.handle.net/2429/20518

Chicago Manual of Style (16^th Edition):

Savor, Zlatko. “Modal finite element method for the navier-stokes equations.” 1977. Masters Thesis, University of British Columbia. Accessed February 27, 2021. http://hdl.handle.net/2429/20518.

MLA Handbook (7^th Edition):

Savor, Zlatko. “Modal finite element method for the navier-stokes equations.” 1977. Web. 27 Feb 2021.

Vancouver:

Savor Z. Modal finite element method for the navier-stokes equations. [Internet] [Masters thesis]. University of British Columbia; 1977. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/2429/20518.

Council of Science Editors:

Savor Z. Modal finite element method for the navier-stokes equations. [Masters Thesis]. University of British Columbia; 1977. Available from: http://hdl.handle.net/2429/20518

Université de Grenoble

17. Cherel, David. Décomposition de domaine pour des systèmes issus des équations de Navier-Stokes : Domain decomposition for systems deriving from Navier-Stokes equations.

Degree: Docteur es, Mathématiques Appliquées, 2012, Université de Grenoble

URL: http://www.theses.fr/2012GRENM109

►

Les équations fondamentales décrivant la dynamique de l'océan sont en théorie les équations de Navier-Stokes sur une sphère en rotation, auxquelles il faut a jouter… (more)

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Les équations fondamentales décrivant la dynamique de l'océan sont en théorie les équations de Navier-Stokes sur une sphère en rotation, auxquelles il faut a jouter une équation d'état pour la densité, et des équations de transport-diffusion pour les traceurs. Toutefois, un certain nombre de considérations physiques et de limitations pratiques ont nécessité le développement de modèles plus simples. En effet, un certain nombre d'hypothèses simpliﬁcatrices sont pleinement justiﬁées du point de vue de la physique des mouvements océaniques, dont les principales sont les approximations de couche mince et de Boussinesq. D'autre part, étant donné les dimensions des bassins océaniques (plusieurs centaines à plusieurs milliers de kilomètres), les coûts de calculs sont un facteur pratique extrêmement limitant. On est, à l'heure actuelle, capable de simuler l'océan mondial avec une résolution de l'ordre de dix kilomètres, en utilisant des modèles dits aux équations primitives, dont le coût de calcul est bien inférieur à celui des équations de Navier-Stokes. On est donc bien loin d'une modélisation complète des phénomènes décrits par ces équations, qui nécessiterait en théorie de considérer des échelles de l'ordre du millimètre. Les équations primitives sont issues des équations complètes de la mécanique des ﬂuides en effectuant l'approximation hydrostatique, justiﬁée par la faible profondeur des domaines considérés au regard de leur dimension horizontale. Dans cette thèse, nous considérerons les équations de Navier-Stokes (NS) qui sont le coeur du modèle complet évoqué ci-dessus, sans prendre en compte les équations de la densité et des traceurs (salinité, température, etc.). Nous utiliserons l'approximation hydrostatique dans le chapitre 10, et le modèle sera naturellement appelé Navier-Stokes hydrostatique (NSH). Il correspond aux équations primitives dans lesquelles on ne prendrait pas en compte la densité et les traceurs. C'est dans ce cadre que se situe le travail présenté dans cette thèse, avec l'objectif à moyen terme de pouvoir coupler de façon rigoureuse et eﬃcace les équations de Navier-Stokes avec les équations primitives. Dans une première partie, on présentera quelques rappels sur les équations de Navier-Stokes, leur discrétisation, ainsi que le cas-test de la cavité entraînée qui sera utilisé dans tout ce document. Dans une deuxième partie, on met en œuvre les méthodes de Schwarz sur les équations de Stokes et Navier-Stokes, en dérivant notamment des conditions absorbantes exactes et approchées pour ces systèmes. Enﬁn, dans une troisième partie, on proposera des pistes vers le couplage Navier-Stokes/Navier-Stokes hydrostatique décrit ci-dessus.

Fundamental equations describing the ocean dynamic are theoretically Navier-Stokes equations over a rotating sphere, whom need to add a state equation for the fluid density, and advection-diffusion equations for tracers. However, some physical considerations and practical limitations required to developped more simple models. Indeed, some simplifying hypotheses are well…

Advisors/Committee Members: Blayo, Éric (thesis director), Rousseau, Antoine (thesis director).

Subjects/Keywords: Décomposition de domaines; Équations de Navier-Stokes; Équations de Navier-Stokes hydrostatiques; Équations d'Oseen; Domain decomposition; Navier-Stokes equations; Hydrostatic Navier-Stokes equations; Oseen equations; 510

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APA (6^th Edition):

Cherel, D. (2012). Décomposition de domaine pour des systèmes issus des équations de Navier-Stokes : Domain decomposition for systems deriving from Navier-Stokes equations. (Doctoral Dissertation). Université de Grenoble. Retrieved from http://www.theses.fr/2012GRENM109

Chicago Manual of Style (16^th Edition):

Cherel, David. “Décomposition de domaine pour des systèmes issus des équations de Navier-Stokes : Domain decomposition for systems deriving from Navier-Stokes equations.” 2012. Doctoral Dissertation, Université de Grenoble. Accessed February 27, 2021. http://www.theses.fr/2012GRENM109.

MLA Handbook (7^th Edition):

Cherel, David. “Décomposition de domaine pour des systèmes issus des équations de Navier-Stokes : Domain decomposition for systems deriving from Navier-Stokes equations.” 2012. Web. 27 Feb 2021.

Vancouver:

Cherel D. Décomposition de domaine pour des systèmes issus des équations de Navier-Stokes : Domain decomposition for systems deriving from Navier-Stokes equations. [Internet] [Doctoral dissertation]. Université de Grenoble; 2012. [cited 2021 Feb 27]. Available from: http://www.theses.fr/2012GRENM109.

Council of Science Editors:

Cherel D. Décomposition de domaine pour des systèmes issus des équations de Navier-Stokes : Domain decomposition for systems deriving from Navier-Stokes equations. [Doctoral Dissertation]. Université de Grenoble; 2012. Available from: http://www.theses.fr/2012GRENM109

University of Illinois – Chicago

18. Zaya, Karen K. Problems of Regularity in Models Arising from Fluid Dynamics.

Degree: 2016, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/21179

► This work expands regularity results for equations related to fluid motion. First, we improve previously known lower bounds for Sobolev norms of potential blow-up solutions… (more)

Subjects/Keywords: fluid dynamics; regularity; turbulence; Euler equations; Navier-Stokes equations; Boussinesq equations

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APA (6^th Edition):

Zaya, K. K. (2016). Problems of Regularity in Models Arising from Fluid Dynamics. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/21179

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):

Zaya, Karen K. “Problems of Regularity in Models Arising from Fluid Dynamics.” 2016. Thesis, University of Illinois – Chicago. Accessed February 27, 2021. http://hdl.handle.net/10027/21179.

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

MLA Handbook (7^th Edition):

Zaya, Karen K. “Problems of Regularity in Models Arising from Fluid Dynamics.” 2016. Web. 27 Feb 2021.

Vancouver:

Zaya KK. Problems of Regularity in Models Arising from Fluid Dynamics. [Internet] [Thesis]. University of Illinois – Chicago; 2016. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/10027/21179.

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

Council of Science Editors:

Zaya KK. Problems of Regularity in Models Arising from Fluid Dynamics. [Thesis]. University of Illinois – Chicago; 2016. Available from: http://hdl.handle.net/10027/21179

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

19. Pushkarev, Andrey. Self-organization of isotopic and drift-ware turbulence : Visual Servoing for Vertical Take-Off and Landing Unmanned Aerial Vehicles.

Degree: Docteur es, Mécanique, 2013, Ecully, Ecole centrale de Lyon

URL: http://www.theses.fr/2013ECDL0057

►

Pas de résumé

In order to give a general statistical description of turbulence, one tries to identify universal statistical features, common to a wider class… (more)

Subjects/Keywords: Turbulence; Equations de Navier-Stokes; Turbulent flows; Navier-Stokes; Drift-wave turbulence

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

APA (6^th Edition):

Pushkarev, A. (2013). Self-organization of isotopic and drift-ware turbulence : Visual Servoing for Vertical Take-Off and Landing Unmanned Aerial Vehicles. (Doctoral Dissertation). Ecully, Ecole centrale de Lyon. Retrieved from http://www.theses.fr/2013ECDL0057

Chicago Manual of Style (16^th Edition):

Pushkarev, Andrey. “Self-organization of isotopic and drift-ware turbulence : Visual Servoing for Vertical Take-Off and Landing Unmanned Aerial Vehicles.” 2013. Doctoral Dissertation, Ecully, Ecole centrale de Lyon. Accessed February 27, 2021. http://www.theses.fr/2013ECDL0057.

MLA Handbook (7^th Edition):

Pushkarev, Andrey. “Self-organization of isotopic and drift-ware turbulence : Visual Servoing for Vertical Take-Off and Landing Unmanned Aerial Vehicles.” 2013. Web. 27 Feb 2021.

Vancouver:

Pushkarev A. Self-organization of isotopic and drift-ware turbulence : Visual Servoing for Vertical Take-Off and Landing Unmanned Aerial Vehicles. [Internet] [Doctoral dissertation]. Ecully, Ecole centrale de Lyon; 2013. [cited 2021 Feb 27]. Available from: http://www.theses.fr/2013ECDL0057.

Council of Science Editors:

Pushkarev A. Self-organization of isotopic and drift-ware turbulence : Visual Servoing for Vertical Take-Off and Landing Unmanned Aerial Vehicles. [Doctoral Dissertation]. Ecully, Ecole centrale de Lyon; 2013. Available from: http://www.theses.fr/2013ECDL0057

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

►

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 February 27, 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. 27 Feb 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 Feb 27]. 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

University of California – Riverside

21. Navas, Esteban Adan. A Priori Bound on the Velocity in Axially Symmetric Navier Stokes Equations.

Degree: Mathematics, 2015, University of California – Riverside

URL: http://www.escholarship.org/uc/item/6g260520

► Relevant results and theory in the Axially Symmetric Navier Stokes Equations are reviewed. Then we obtain pointwise, a priori bounds for the r, θ and… (more)

Subjects/Keywords: Mathematics; Analysis; Fluid Dynamics; Navier Stokes Equations; Partial Differential Equations

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

APA (6^th Edition):

Navas, E. A. (2015). A Priori Bound on the Velocity in Axially Symmetric Navier Stokes Equations. (Thesis). University of California – Riverside. Retrieved from http://www.escholarship.org/uc/item/6g260520

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):

Navas, Esteban Adan. “A Priori Bound on the Velocity in Axially Symmetric Navier Stokes Equations.” 2015. Thesis, University of California – Riverside. Accessed February 27, 2021. http://www.escholarship.org/uc/item/6g260520.

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

MLA Handbook (7^th Edition):

Navas, Esteban Adan. “A Priori Bound on the Velocity in Axially Symmetric Navier Stokes Equations.” 2015. Web. 27 Feb 2021.

Vancouver:

Navas EA. A Priori Bound on the Velocity in Axially Symmetric Navier Stokes Equations. [Internet] [Thesis]. University of California – Riverside; 2015. [cited 2021 Feb 27]. Available from: http://www.escholarship.org/uc/item/6g260520.

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

Council of Science Editors:

Navas EA. A Priori Bound on the Velocity in Axially Symmetric Navier Stokes Equations. [Thesis]. University of California – Riverside; 2015. Available from: http://www.escholarship.org/uc/item/6g260520

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

Cornell University

22. Escobar-vargas, Jorge. A Spectral Multidomain Penalty Method Solver For Environmental Flow Processes.

Degree: PhD, Civil and Environmental Engineering, 2012, Cornell University

URL: http://hdl.handle.net/1813/31431

► This work presents the details behind each step in the development of a framework for two-dimensional quadrilateral discontinuous Spectral Multidomain Penalty Method (SMPM) solvers for… (more)

▼ This work presents the details behind each step in the development of a framework for two-dimensional quadrilateral discontinuous Spectral Multidomain Penalty Method (SMPM) solvers for environmental flow processes: a shallow water equation (SWE) solver and an incompressible Navier-Stokes equations (NSE) (under the Boussinesq approximation) solver, with additional emphasis given to the associated pressure solver. The potential for environmental flow simulations through spectral methods is very strong since these methods are exponentially accurate, non-dissipative and nondispersive. These characteristics translate into capturing the smallest resolved scales of the flow and the propagation of ocean/lake waves with minimum numerical error. In addition, the element-based capability of the method enables the appropriate resolution of the important scales of the processes being modeled, the localization of specific events, and the treatment of complex boundary conditions and geometries. Finally, the discontinuous character of the method add enhanced stability to the method for highlynonlinear under-resolved simulations, an intrinsic characteristic of environmental flow simulations. In the SWE solver, the SMPM is compared with a nodal discontinuous Galerkin method (DGM), where the equations are solved with an explicit SSP-RK34 method. The comparison is done by applying both methods to a suite of six commonly considered geophysical flow test cases; we also include results for a classical continuous Galerkin (i.e., spectral element) method for comparison. Both the analysis and numerical experiments show that the SMPM and DGM are essentially identical; both methods can be shown to be equivalent for very special choices of quadrature rules and Riemann solvers in the DGM along with special choices in the type of penalty term in the SMPM. In the NSE solver time is discretized with a high-order fractional step projection method, where the non-linear advection and forcing terms are advanced explicitly via a stiffly stable scheme. After that, an implicit solution of a Poisson pressure equation (PPE) is solved in order to introduce the incompressibility constraint. In the final fractional time-step linear viscosity forces are also solved implicitly by means of a modified Helmholtz equation. Stability of the numerical scheme for under-resolved simulations at high Reynolds numbers is ensured through use of penalty techniques, spectral filtering, dealiasing, and strong adaptive interfacial averaging. Special attention is given to the solution of the PPE linear system of equations, where the fundamental building blocks of the PPE solver presented here are a Kronecker (tensor) product-based computation of the left null singular value of the non-symmetric SMPM-discretized Laplacian matrix and a custom-designed two-level preconditioner. Both of these tools are essential towards ensuring existence and uniqueness of the solution of the discrete linear system of equations and enabling its efficient iterative calculation. Accuracy, efficiency,… Advisors/Committee Members: Diamessis, Peter J. (chair), Van Loan, Charles Francis (committee member), Warner, Derek H. (committee member), Pope, Stephen Bailey (committee member).

Subjects/Keywords: Spectral Multidomain method; Incompressible Navier-Stokes equations; Shallow Water equations

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APA (6^th Edition):

Escobar-vargas, J. (2012). A Spectral Multidomain Penalty Method Solver For Environmental Flow Processes. (Doctoral Dissertation). Cornell University. Retrieved from http://hdl.handle.net/1813/31431

Chicago Manual of Style (16^th Edition):

Escobar-vargas, Jorge. “A Spectral Multidomain Penalty Method Solver For Environmental Flow Processes.” 2012. Doctoral Dissertation, Cornell University. Accessed February 27, 2021. http://hdl.handle.net/1813/31431.

MLA Handbook (7^th Edition):

Escobar-vargas, Jorge. “A Spectral Multidomain Penalty Method Solver For Environmental Flow Processes.” 2012. Web. 27 Feb 2021.

Vancouver:

Escobar-vargas J. A Spectral Multidomain Penalty Method Solver For Environmental Flow Processes. [Internet] [Doctoral dissertation]. Cornell University; 2012. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/1813/31431.

Council of Science Editors:

Escobar-vargas J. A Spectral Multidomain Penalty Method Solver For Environmental Flow Processes. [Doctoral Dissertation]. Cornell University; 2012. Available from: http://hdl.handle.net/1813/31431

Hong Kong University of Science and Technology

23. Zhang, Qian. Modeling and simulation of multi-phase flow on solid surfaces.

Degree: 2014, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-71697 ; https://doi.org/10.14711/thesis-b1334483 ; http://repository.ust.hk/ir/bitstream/1783.1-71697/1/th_redirect.html

► This thesis focuses on the modeling and simulation of multi-phase flow on solid surfaces with moving contact line. In particular, we develop a consistent model… (more)

▼ This thesis focuses on the modeling and simulation of multi-phase flow on solid surfaces with moving contact line. In particular, we develop a consistent model for N-phase flow (N ≥ 3). The thesis consists of three parts. In the first part, Cahn-Hilliard coupled Navier Stokes equation together with relaxation boundary condition for phase parameter and generalized Navier boundary condition (GNBC) [81] on velocity on the solid boundary is employed to simulate droplet impacting on a smooth, flat and chemically homogeneous solid surface with finite difference method. Different impacting phenomena, wetting, bouncing, partial bouncing and splashing, are observed numerically and their dependence on individual dimensionless parameters, Reynolds number, Weber number, density ratio, viscosity ratio and equilibrium contact angle between interface of liquid/air and solid surfaces are also investigated. In addition, we also use the model above to simulate two-phase flow in a bumpy channel with finite element method using unstructured mesh. In the second part, the model of two-phase flow with moving contact line problem is generalized to that of three-phase flow. Difficulty of this problem lies in how to deal with constraints introduced to let the model give physically relevant results. We solve this problem by developing a gradient projection approach. A new model of Cahn-Hilliard coupled Navier Stokes equation together with the boundary condition on solid surfaces is proposed for three-phase flow on solid surfaces. The energy decay of the model is satisfied. An unconditional stable numerical scheme is then designed to solve the equation system we derive for the three phase flow on solid surfaces. The discrete energy law of the numerical scheme is proved. Some interesting numerical simulations of dynamics of triple junction and four phase contact line are performed. In the third part, a systematical derivation of continuum model for the dynamics of multi-component system coupled with flow field on solid surfaces is presented based on thermodynamics principles and Onsager’s reciprocal relations. In addition, following the ideas of projection we used in the second part, derivation of a model that satisfies constrains to let the model give physically relevant results is straightforward. At last, we have verified that the model for multi-phase (N-phase) system is equivalent to model of two-phase flow with moving contact line problem derived in [82] and model of three-phase flow on solid surfaces we get above for N = 2 and N = 3 respectively.

Subjects/Keywords: Multiphase flow ; Mathematical models ; Differential equations ; Navier-Stokes equations ; Solids ; Surfaces

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APA (6^th Edition):

Zhang, Q. (2014). Modeling and simulation of multi-phase flow on solid surfaces. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-71697 ; https://doi.org/10.14711/thesis-b1334483 ; http://repository.ust.hk/ir/bitstream/1783.1-71697/1/th_redirect.html

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):

Zhang, Qian. “Modeling and simulation of multi-phase flow on solid surfaces.” 2014. Thesis, Hong Kong University of Science and Technology. Accessed February 27, 2021. http://repository.ust.hk/ir/Record/1783.1-71697 ; https://doi.org/10.14711/thesis-b1334483 ; http://repository.ust.hk/ir/bitstream/1783.1-71697/1/th_redirect.html.

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

MLA Handbook (7^th Edition):

Zhang, Qian. “Modeling and simulation of multi-phase flow on solid surfaces.” 2014. Web. 27 Feb 2021.

Vancouver:

Zhang Q. Modeling and simulation of multi-phase flow on solid surfaces. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2014. [cited 2021 Feb 27]. Available from: http://repository.ust.hk/ir/Record/1783.1-71697 ; https://doi.org/10.14711/thesis-b1334483 ; http://repository.ust.hk/ir/bitstream/1783.1-71697/1/th_redirect.html.

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

Council of Science Editors:

Zhang Q. Modeling and simulation of multi-phase flow on solid surfaces. [Thesis]. Hong Kong University of Science and Technology; 2014. Available from: http://repository.ust.hk/ir/Record/1783.1-71697 ; https://doi.org/10.14711/thesis-b1334483 ; http://repository.ust.hk/ir/bitstream/1783.1-71697/1/th_redirect.html

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

University of Southern California

24. Pei, Yuan. Certain regularity problems in fluid dynamics.

Degree: PhD, Applied Mathematics, 2014, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/432069/rec/1275

► In the first chapter of this dissertation, we address the partial regularity for a suitable weak solutions of the Navier-Stokes system in a bounded space‐time… (more)

Subjects/Keywords: Navier-Stokes equations; weak solutions; fractal dimension; regularity; primitive equations

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APA (6^th Edition):

Pei, Y. (2014). Certain regularity problems in fluid dynamics. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/432069/rec/1275

Chicago Manual of Style (16^th Edition):

Pei, Yuan. “Certain regularity problems in fluid dynamics.” 2014. Doctoral Dissertation, University of Southern California. Accessed February 27, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/432069/rec/1275.

MLA Handbook (7^th Edition):

Pei, Yuan. “Certain regularity problems in fluid dynamics.” 2014. Web. 27 Feb 2021.

Vancouver:

Pei Y. Certain regularity problems in fluid dynamics. [Internet] [Doctoral dissertation]. University of Southern California; 2014. [cited 2021 Feb 27]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/432069/rec/1275.

Council of Science Editors:

Pei Y. Certain regularity problems in fluid dynamics. [Doctoral Dissertation]. University of Southern California; 2014. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/432069/rec/1275

Clemson University

25. Dowling, Michael. Enhanced Physics Schemes for the 2D NS-alpha Models of Incompressible Flow.

Degree: MS, Mathematical Science, 2012, Clemson University

URL: https://tigerprints.clemson.edu/all_theses/1388

► In this thesis, we study algorithms for the 2D NS-alpha model of incompressible flow. These schemes conserve both discrete energy and discrete enstrophy in… (more)

Subjects/Keywords: Barotropic Vorticity Equations; Navier Stokes Equations; Vorticity Stream Formulation; Applied Mathematics

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APA (6^th Edition):

Dowling, M. (2012). Enhanced Physics Schemes for the 2D NS-alpha Models of Incompressible Flow. (Masters Thesis). Clemson University. Retrieved from https://tigerprints.clemson.edu/all_theses/1388

Chicago Manual of Style (16^th Edition):

Dowling, Michael. “Enhanced Physics Schemes for the 2D NS-alpha Models of Incompressible Flow.” 2012. Masters Thesis, Clemson University. Accessed February 27, 2021. https://tigerprints.clemson.edu/all_theses/1388.

MLA Handbook (7^th Edition):

Dowling, Michael. “Enhanced Physics Schemes for the 2D NS-alpha Models of Incompressible Flow.” 2012. Web. 27 Feb 2021.

Vancouver:

Dowling M. Enhanced Physics Schemes for the 2D NS-alpha Models of Incompressible Flow. [Internet] [Masters thesis]. Clemson University; 2012. [cited 2021 Feb 27]. Available from: https://tigerprints.clemson.edu/all_theses/1388.

Council of Science Editors:

Dowling M. Enhanced Physics Schemes for the 2D NS-alpha Models of Incompressible Flow. [Masters Thesis]. Clemson University; 2012. Available from: https://tigerprints.clemson.edu/all_theses/1388

26. Carvalho Neto, Paulo Mendes de. Equações de Navier-Stokes com condições de fronteira tipo Navier de fricção.

Degree: Mestrado, Matemática, 2009, University of São Paulo

URL: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-15052009-161835/ ;

►

Motivados por fenômenos físicos importantes, estudamos as equações bidimensionais de Navier-Stokes, em domínios limitados, com a condição de fronteira tipo Navier de fricção (a velocidade… (more)

▼

Motivados por fenômenos físicos importantes, estudamos as equações bidimensionais de Navier-Stokes, em domínios limitados, com a condição de fronteira tipo Navier de fricção (a velocidade tangencial é proporcional à componente tangencial do estresse viscoso) e com a condição de fronteira de não penetração (velocidade normal nula). Provamos a existência, unicidade e regularidade de solução para este problema e estabelecemos uma limitação uniforme em \'L POT. INFINITOṕara a vorticidade. Além disso, analisamos o limite invíscido, ou seja, para cada coeficiente de viscosidade \'\μćonsideramos a solução \'u POT.\μd́o problema e provamos que a função \'u =\'\\lim_{\μ seta 0} \'u POT. \μśatisfaz as equações de Euler incompressíveis. Finalmente, enfraquecendo a regularidade do dado inicial e da força externa, ainda conseguimos provar a existência e a unicidade de solução para o problema. Da mesma forma, provamos que o limite invíscido ainda satisfaz as equações de Euler com dados menos regulares

Motivated by important physical phenomenons, we study the twodimensional Navier- Stokes equations, in bounded domains, with Navier friction type boundary condition (the tangential velocity is proportional to the tangential component of the viscous stress) and the non-penetration boundary condition (zero normal velocity). We prove existence, uniqueness and regularity of the solution to the equations and we deduce a uniform \'L POT. INFINIT\'-bound for the vorticity. Also, we analyze the inviscid limit, that is, for each viscosity coefficient \'\μ\', we consider the solution \'u POT.\μóf the problem and we prove that the function \'u = \\lim_{\μ SETA 0\́'u POT.\μśatisfies the incompressible Euler equations. Finally, weaken the regularity of the initial data and of the external force, we prove existence and uniqueness of a solution to the problem. In the same way, we prove that the inviscid limit satisfies the incompressible Euler equations, with less regular data

Advisors/Committee Members: Planas, Gabriela Del Valle.

Subjects/Keywords: Differential equations; Dinâmica dos fluídos; Equações de Navier-Stokes; Equações diferenciais; Fluid dynamics; Navier-Stokes equations

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APA (6^th Edition):

Carvalho Neto, P. M. d. (2009). Equações de Navier-Stokes com condições de fronteira tipo Navier de fricção. (Masters Thesis). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/55/55135/tde-15052009-161835/ ;

Chicago Manual of Style (16^th Edition):

Carvalho Neto, Paulo Mendes de. “Equações de Navier-Stokes com condições de fronteira tipo Navier de fricção.” 2009. Masters Thesis, University of São Paulo. Accessed February 27, 2021. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-15052009-161835/ ;.

MLA Handbook (7^th Edition):

Carvalho Neto, Paulo Mendes de. “Equações de Navier-Stokes com condições de fronteira tipo Navier de fricção.” 2009. Web. 27 Feb 2021.

Vancouver:

Carvalho Neto PMd. Equações de Navier-Stokes com condições de fronteira tipo Navier de fricção. [Internet] [Masters thesis]. University of São Paulo; 2009. [cited 2021 Feb 27]. Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-15052009-161835/ ;.

Council of Science Editors:

Carvalho Neto PMd. Equações de Navier-Stokes com condições de fronteira tipo Navier de fricção. [Masters Thesis]. University of São Paulo; 2009. Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-15052009-161835/ ;

Universidade Estadual de Campinas

27. Silva, Luiz Alberto Viana, 1984-. Escoamentos incompressíveis com viscosidade pequena em torno de obstáculos distantes: Incompressible flows around a distant obstacle and the vanishing viscosity limit.

Degree: 2012, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307162

► Abstract: It is a classical open problem to determine if the vanishing viscosity limit can be established in the presence of boundaries. Based on this… (more)

Subjects/Keywords: Perturbação singular (Matemática); Navier-Stokes, Equações de; Euler, Equações de; Singular perturbation (Mathematics); Navier-Stokes equations; Euler equations

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APA (6^th Edition):

Silva, Luiz Alberto Viana, 1. (2012). Escoamentos incompressíveis com viscosidade pequena em torno de obstáculos distantes: Incompressible flows around a distant obstacle and the vanishing viscosity limit. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/307162

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

Chicago Manual of Style (16^th Edition):

Silva, Luiz Alberto Viana, 1984-. “Escoamentos incompressíveis com viscosidade pequena em torno de obstáculos distantes: Incompressible flows around a distant obstacle and the vanishing viscosity limit.” 2012. Thesis, Universidade Estadual de Campinas. Accessed February 27, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307162.

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

MLA Handbook (7^th Edition):

Silva, Luiz Alberto Viana, 1984-. “Escoamentos incompressíveis com viscosidade pequena em torno de obstáculos distantes: Incompressible flows around a distant obstacle and the vanishing viscosity limit.” 2012. Web. 27 Feb 2021.

Vancouver:

Silva, Luiz Alberto Viana 1. Escoamentos incompressíveis com viscosidade pequena em torno de obstáculos distantes: Incompressible flows around a distant obstacle and the vanishing viscosity limit. [Internet] [Thesis]. Universidade Estadual de Campinas; 2012. [cited 2021 Feb 27]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307162.

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

Council of Science Editors:

Silva, Luiz Alberto Viana 1. Escoamentos incompressíveis com viscosidade pequena em torno de obstáculos distantes: Incompressible flows around a distant obstacle and the vanishing viscosity limit. [Thesis]. Universidade Estadual de Campinas; 2012. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307162

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

28. 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 February 27, 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. 27 Feb 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 Feb 27]. 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

29. Kozyrakis, Georgios. Numerical solution of incompressible flow equations over irregular geometry, with application to coastal hydrodynamics.

Degree: 2016, University of the Aegean; Πανεπιστήμιο Αιγαίου

URL: http://hdl.handle.net/10442/hedi/38378

► Modern CFD applications require the treatment of general complex domains to accurately model the emerging flow patterns. In the present work, a new finite difference… (more)

▼ Modern CFD applications require the treatment of general complex domains to accurately model the emerging flow patterns. In the present work, a new finite difference scheme is employed and tested for the numerical solution of the incompressible Navier-Stokes equations in a complex domain described in curvilinear coordinates. A staggered grid discretization is used on both the physical and computational domains. A subgrid based computation of the Jacobian and the metric coefficients of the transformation is used. The discretization methods employed with the current methodology include, low (1st, 2nd) and higher order (4th) compact schemes for the temporal, advection and diffusion terms of the N-S equations. The temporal discretization is carried out by either a 1st Order Explicit Scheme, a 2nd Order Predictor – Corrector Method, or a 4th Order Explicit Runge-Kutta Method. Since the algorithm is tested over a variety of complex domains, the effective boundary conditions treatment is very important, especially in curvilinear coordinates, where the shape and the diversity of the boundary regions (slip / no-slip walls, inlet, outlet, symmetry, periodic, free surface, etc.) deviates from its simpler cartesian counterpart. The incompressibility condition, properly transformed in curvilinear coordinates, is enforced by an iterative procedure employing either a modified local pressure correction technique or the globally defined numerical solution of a general elliptic BVP (a Poisson-type equation). The enforcement of the incompressibility condition to the numerical solution, at each time step, produced by a high order numerical scheme is commonly accepted to be the most computationally demanding part of the overall algorithm. To expand the computational applications of the current methodology, the governing equations can be depth-averaged to produce the well-known shallow water equations, which include bathymerty forces and friction. Coupled with the Exner equation for describing the morphological evolution, a single system of equations is numerically solved by a high-resolution finite volume scheme of the relaxation type. This numerical scheme is based on classical relaxation models previously developed, where neither approximate Riemann solvers nor characteristic decompositions are required. Bed-load sediment transport simulations are presented, targeted to describe the morphodynamics in coastal areas. Different forms of the bed-load transport flux are considered in the Exner equation. The results obtained by the proposed Navier-Stokes solution algorithm, exhibit very good agreement with other experimental and numerical calculations for a variety of flow domains and grid configurations. The overall numerical solver effectively treats the general complex domains, for different types of boundary conditions. To test the validity of the results, obtained by the shallow water equations coupled with the Exner equation, comparisons are made for benchmark cases in the bibliography, as well as with commercial software, in an coastal…

Subjects/Keywords: Παράκτια Μορφοδυναμική; Εξισώσεις Ρηχών Υδάτων; Εξισώσεις Navier-Stokes; Αριθμητικές μέθοδοι; Coastal Morphodynamics; Shallow Water Equations; Navier-Stokes equations; Numerical methods

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APA (6^th Edition):

Kozyrakis, G. (2016). Numerical solution of incompressible flow equations over irregular geometry, with application to coastal hydrodynamics. (Thesis). University of the Aegean; Πανεπιστήμιο Αιγαίου. Retrieved from http://hdl.handle.net/10442/hedi/38378

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):

Kozyrakis, Georgios. “Numerical solution of incompressible flow equations over irregular geometry, with application to coastal hydrodynamics.” 2016. Thesis, University of the Aegean; Πανεπιστήμιο Αιγαίου. Accessed February 27, 2021. http://hdl.handle.net/10442/hedi/38378.

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

MLA Handbook (7^th Edition):

Kozyrakis, Georgios. “Numerical solution of incompressible flow equations over irregular geometry, with application to coastal hydrodynamics.” 2016. Web. 27 Feb 2021.

Vancouver:

Kozyrakis G. Numerical solution of incompressible flow equations over irregular geometry, with application to coastal hydrodynamics. [Internet] [Thesis]. University of the Aegean; Πανεπιστήμιο Αιγαίου; 2016. [cited 2021 Feb 27]. Available from: http://hdl.handle.net/10442/hedi/38378.

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

Council of Science Editors:

Kozyrakis G. Numerical solution of incompressible flow equations over irregular geometry, with application to coastal hydrodynamics. [Thesis]. University of the Aegean; Πανεπιστήμιο Αιγαίου; 2016. Available from: http://hdl.handle.net/10442/hedi/38378

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

30. Rejaiba, Ahmed. Equations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier : Stokes and Navier-Stokes equations with Navier boundary conditions.

Degree: Docteur es, Mathématiques Appliquées, 2014, Pau

URL: http://www.theses.fr/2014PAUU3050

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Résumé : Cette thèse est consacrée à l'étude des équations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier dans un ouvert… (more)

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Résumé : Cette thèse est consacrée à l'étude des équations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier dans un ouvert borné de . Le manuscrit ici est composé de trois chapitres. Dans le premier, nous considérons les équations de Stokes stationnaires avec des conditions aux limites de Navier. Nous démontrons l'existence, l'unicité et la régularité de la solution d'abord dans un cadre hilbertien puis dans le cadre de la théorie . Nous traitons aussi le cas de solutions très faibles. Dans le deuxième chapitre, nous nous intéressons aux équations de Navier-Stokes avec la condition de Navier. Sous certaines hypothèses sur les données, nous démontrons l'existence de solution faible dans , avec en utilisant un théorème du point fixe appliqué à un problème d'Oseen. Nous démontrons examinons ensuite les questions de régularité des solutions en particulier dans . Dans le dernier chapitre, nous étudions le problème d'évolution de Stokes avec la condition de Navier. La résolution de ce problème se fait au moyen de la théorie des semi-groupes analytiques qui jouent un rôle important pour établir l'existence et l'unicité de la solution dans le cas homogène. Nous traitons le cas du problème non homogène par le biais des puissances imaginaires de l'opérateur de Stokes.

This thesis is devoted to the study of the Stokes equations and Navier-Stokes equations with Navier boundary conditions in a bounded domain of . The work contains three chapters: In the first chapter, we consider the stationary Stokes equations with Navier boundary condition. We show the existence, uniqueness and regularity of the solution in the Hilbert case and in the -theory. We prove also the case of very weak solutions. In the second chapter, we focus on the Navier-Stokes equations with the Navier boundary condition. We show the existence of the weak solution in , with by a fixed point theorem over the Oseen equation. We show also the existence of the strong solution in . In chapter three, we study the evolution Stokes problem with Navier boundary condition. For this, we apply the analytic semi-groups theory, which plays a crucial role in the study of existence and uniqueness of solution in the case of the homogeneous evolution problem. We treat the case of non-homogeneous problem through imaginary powers of the Stokes operator.

Advisors/Committee Members: Amrouche, Cherif (thesis director).

Subjects/Keywords: Equations de Stokes; Equations de Navier-Stokes; Equations d'Oseen; Conditions de Navier; Inégalité de Korn; Théorie Lp; Théorie des semi-groupes; Stokes equations; Navier-Stokes equations; Oseen equations; Navier boundary conditions; Korn inequality; Lp Theory; Semi-groups theory.

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APA (6^th Edition):

Rejaiba, A. (2014). Equations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier : Stokes and Navier-Stokes equations with Navier boundary conditions. (Doctoral Dissertation). Pau. Retrieved from http://www.theses.fr/2014PAUU3050

Chicago Manual of Style (16^th Edition):

Rejaiba, Ahmed. “Equations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier : Stokes and Navier-Stokes equations with Navier boundary conditions.” 2014. Doctoral Dissertation, Pau. Accessed February 27, 2021. http://www.theses.fr/2014PAUU3050.

MLA Handbook (7^th Edition):

Rejaiba, Ahmed. “Equations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier : Stokes and Navier-Stokes equations with Navier boundary conditions.” 2014. Web. 27 Feb 2021.

Vancouver:

Rejaiba A. Equations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier : Stokes and Navier-Stokes equations with Navier boundary conditions. [Internet] [Doctoral dissertation]. Pau; 2014. [cited 2021 Feb 27]. Available from: http://www.theses.fr/2014PAUU3050.

Council of Science Editors:

Rejaiba A. Equations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier : Stokes and Navier-Stokes equations with Navier boundary conditions. [Doctoral Dissertation]. Pau; 2014. Available from: http://www.theses.fr/2014PAUU3050

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