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Dissertations / Theses on the topic 'Stokes' method'

Author: Grafiati

Published: 5 June 2025

Last updated: 1 August 2025

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1

Bochev, Pavel B. "Least squares finite element methods for the Stokes and Navier-Stokes equations." Diss., This resource online, 1994. http://scholar.lib.vt.edu/theses/available/etd-06062008-165910/.

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2

Shah, Tasneem Mohammad. "Analysis of the multigrid method." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.253425.

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3

Le, Goff Jean-Marie. "Navier-Stokes modellingof offshore wind turbinesusing the SPH method." Thesis, KTH, Skolan för industriell teknik och management (ITM), 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-216161.

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4

Clark, Philip James. "The finite element method applied to Stokes wave diffraction." Thesis, University of Newcastle Upon Tyne, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.334677.

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5

Marx, Yves. "Etude d'algorithmes pour les equations de navier-stokes compressibles." Nantes, 1987. http://www.theses.fr/1987NANT2039.

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On presente une methode numerique du type volumes finis. On obtient une precision du second ordre en utilisant des champs evoluant lineairement a l'interieur de chaque maille. Validation de la methode sur le cas test de la tuyere a double col

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6

Rahmati, M. T. "Incompressible Navier-Stokes inverse design method based on unstructured meshes." Thesis, University College London (University of London), 2006. http://discovery.ucl.ac.uk/1445805/.

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Two inverse methods for turbomachinery blade design are developed. In these inverse design approaches blade shapes are computed for a specified design parameter such as mass-averaged tangential velocity or pressure loading distribution. These inverse methods directly define a geometry needed to obtain these prescribed target design parameters which are related to the performance of turbomachinery blades. The first method is based on the prescription of pressure loading on the blade while the second method is based on the prescription of mass-averaged tangential velocity on the blade. In both m

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7

Whitney, John Peter 1982. "A Perfectly Matched Layer Method for the Navier-Stokes equations." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/35558.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2006.<br>Includes bibliographical references (p. 49-51).<br>The Perfectly Matched Layer Method (PML) has found widespread application as a high-accuracy, non-reflecting boundary treatment in many wave propagation simulations. However, in the area of computational fluid dynamics, its application has been mostly limited to the linearized Euler equations. Attempts to apply PML to the nonlinear Euler equations have found a tendency for the method to go unstable. Even so, in light of the method's computatio

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8

Talnikar, Chaitanya Anil. "Viscosity stabilized adjoint method for unsteady compressible Navier-Stokes equations." Thesis, Massachusetts Institute of Technology, 2018. http://hdl.handle.net/1721.1/120425.

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This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Thesis: Ph. D. in Computational Science and Engineering, Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2018<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 187-195).<br>Design optimization methods are a popular tool in computational fluid dynamics for designing components or finalizing the flow parameters of a system. The adjoint method accelerates the design process by pr

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9

Harkin, Anthony. "A Legendre spectral element method for the rotational Navier-Stokes equations." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/37551.

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10

Choi, Young Ok. "The Galerkin boundary element method for three-dimensional transient Stokes flow." Thesis, Southern Methodist University, 2015. http://pqdtopen.proquest.com/#viewpdf?dispub=3725258.

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<p>We consider boundary element method (BEM) formulation of three-dimensional transient Stokes flow. We derive a representation of the Stokeslet and stresslet in terms of incomplete gamma functions and investigate the nature of the singularity of the single- and double layer potentials. Further, we derive the Green's representation formula for changing surfaces and investigate a problem with two moving cubes. Nystr\"om discretization does not work well for Stokes flow therefore we develop Galerkin discretization methods. We give analytical formulas for the time integration which results

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11

Arimoto, Shinichi. "Numerical method for coupled analysis of Navier-Stokes and Darcy flows." Kyoto University, 2018. http://hdl.handle.net/2433/232352.

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Kyoto University (京都大学)<br>0048<br>新制・課程博士<br>博士(農学)<br>甲第21151号<br>農博第2277号<br>新制||農||1059(附属図書館)<br>学位論文||H30||N5125(農学部図書室)<br>京都大学大学院農学研究科地域環境科学専攻<br>(主査)教授村上章, 教授川島茂人, 教授藤原正幸<br>学位規則第4条第1項該当

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12

Brehm, Christoph. "Novel Immersed Interface Method for Solving the Incompressible Navier-Stokes Equations." Diss., The University of Arizona, 2011. http://hdl.handle.net/10150/202770.

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For simulations of highly complex geometries, frequently encountered in many fields of science and engineering, the process of generating a high-quality, body-fitted grid is very complicated and time-intensive. Thus, one of the principal goals of contemporary CFD is the development of numerical algorithms, which are able to deliver computationally efficient, and highly accurate solutions for a wide range of applications involving multi-physics problems, e.g. Fluid Structure Interaction (FSI). Immersed interface/boundary methods provide considerable advantages over conventional approaches, esp

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13

Poullikkas, Andreas. "The Method of Fundamental Solutions for the solution of elliptic boundary value problems." Thesis, Loughborough University, 1997. https://dspace.lboro.ac.uk/2134/27141.

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We investigate the use of the Method of Fundamental Solutions (MFS) for the numerical solution of elliptic problems arising in engineering. In particular, we examine harmonic and biharmonic problems with boundary singularities, certain steady-state free boundary flow problems and inhomogeneous problems. The MFS can be viewed as an indirect boundary method with an auxiliary boundary. The solution is approximated by a linear combination of fundamental solutions of the governing equation which are expressed in terms of sources located outside the domain of the problem. The unknown coefficients in

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14

Newman, Christopher K. "Exponential Integrators for the Incompressible Navier-Stokes Equations." Diss., Virginia Tech, 2003. http://hdl.handle.net/10919/29340.

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We provide an algorithm and analysis of a high order projection scheme for time integration of the incompressible Navier-Stokes equations (NSE). The method is based on a projection onto the subspace of divergence-free (incompressible) functions interleaved with a Krylov-based exponential time integration (KBEI). These time integration methods provide a high order accurate, stable approach with many of the advantages of explicit methods, and can reduce the computational resources over conventional methods. The method is scalable in the sense that the computational costs grow linearly with probl

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15

Musta, Mustafa Nail. "Implementation Of Turbulence Models Into A Navier-stokes Solver." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/2/12605357/index.pdf.

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In order to handle turbulent flow problems, one equation turbulence models are implemented in to a previously developed explicit, Reynolds averaged Navier-Stokes solver. Discretization of Navier-Stokes solver is based on cell-vertex finite volume formulation combined with single step Lax-Wendroff numerical method which is second order accurate in space. Turbulent viscosity is calculated by using one equation Spalart-Allmaras and Baldwin-Barth turbulence transport equations. For the discretization of Spalart-Allmaras and Baldwin-Barth equations, both finite volume scheme which is used for Navie

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16

Kreuzer, Christian. "A convergent adaptive Uzawa finite element method for the nonlinear Stokes problem." kostenfrei, 2008. http://d-nb.info/991291271/34.

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17

Sjösten, William, and Victor Vadling. "Finite Element Approximations of 2D Incompressible Navier-Stokes Equations Using Residual Viscosity." Thesis, Uppsala universitet, Institutionen för teknikvetenskaper, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-354590.

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Chorin’s method, Incremental Pressure Correction Scheme (IPCS) and Crank-Nicolson’s method (CN) are three numerical methods that were investigated in this study. These methods were here used for solving the incompressible Navier-Stokes equations, which describe the motion of an incompressible fluid, in three different benchmark problems. The methods were stabilized using residual based artificial viscosity, which was introduced to avoid instability. The methods were compared in terms of accuracy and computational time. Furthermore, a theoretical study of adaptivity was made, based on an a post

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18

Pueyo, Alberto. "An efficient Newton-Krylov method for the Euler and Navier-Stokes equations." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq35288.pdf.

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19

Berkman, Mert Enis. "An integrated Navier Stokes-full portential-free wake method for rotor flows." Diss., Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/12388.

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20

Gwamanda, Bhekumuzi J. "The sequential spectral method for incompressible Navier-Stokes equations in two dimensions /." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=81338.

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We examine the history and performance of the sequential spectral method. We find that the sequential spectral method is related to Waveform Relaxation methods and to iterative schemes that precede its inception by a century.<br>Using the two-dimensional Navier-Stokes equations, we compare the performance of the sequential spectral method with two traditional numerical pseudospectral Galerkin frameworks: a semi-implicit time discretization, and a traditional fully implicit discretization. We depart from preceding implementations of the sequential spectral method by developing an entirel

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21

Modisette, James M. "An automated reliable method for two-dimensional Reynolds-Averaged Navier-Stokes simulations." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/68406.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2011.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 171-180).<br>The development of computational fluid dynamics algorithms and increased computational resources have led to the ability to perform complex aerodynamic simulations. Obstacles remain which prevent autonomous and reliable simulations at accuracy levels required for engineering. To consider the solution strategy autonomous and reliable, high quality solutions must be provided without user interaction o

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22

Aoussou, Jean Philippe. "An iterative pressure-correction method for the unsteady incompressible Navier-Stokes Equation." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/104554.

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Thesis: S.M., Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2016.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 53-59).<br>The pressure-correction projection method for the incompressible Navier-Stokes equation is approached as a preconditioned Richardson iterative method for the pressure- Schur complement equation. Typical pressure correction methods perform only one iteration and suffer from a splitting error that results in a spurious numerical boundary layer, and a limited order of convergence in time. We in

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23

SAID, HAZEM. "A NEW METHOD FOR THE SOLUTION OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS." University of Cincinnati / OhioLINK, 2001. http://rave.ohiolink.edu/etdc/view?acc_num=ucin982248241.

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24

Baker, M. D. "A spectral Lagrange-Galerkin method for periodic/non-periodic convection-dominated diffusion problems." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240539.

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25

Le, Moigne Alan. "A discrete Navier-Stokes adjoint method for aerodynamic optimisation of BlendedWing-Body configurations." Thesis, Cranfield University, 2002. http://hdl.handle.net/1826/826.

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An aerodynamic shape optimisation capability based on a discrete adjoint solver for Navier- Stokes flows is developed and applied to a Blended Wing-Body future transport aircraft. The optimisation is gradient-based and employs either directly a Sequential Quadratic Programming optimiser or a variable-fidelity optimisation method that combines low- and high-fidelity models. The shape deformations are parameterised using a B´ezier-Bernstein formulation and the structured grid is automatically deformed to represent the design changes. The flow solver at the heart of this optimisation chain is a R

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26

Li, Zhaobin. "Two-phase spectral wave explicit Navier-Stokes equations method for wave-structure interactions." Thesis, Ecole centrale de Nantes, 2018. http://www.theses.fr/2018ECDN0041/document.

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Cette thèse propose un algorithme efficace pour la simulation numérique des interactions houle-structure avec des solveurs CFD bi-phasiques. L'algorithme est basé sur le couplage de la théorie potentielle et des équations bi-phasiques de Navier-Stokes. C'est une extension de la méthode Spectral Wave Explicit Navier-Stokes Equations (SWENSE) pour les solveurs CFD bi-phasiques avec une technique de capture d'interface. Dans cet algorithme, la solution totale est décomposée en une composante incidente et une composante complémentaire. La partie incidente est explicitement obtenue avec des méthode

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27

Bussing, Thomas Richard Arthur. "A finite volume method for the Navier-Stokes equations with finite rate chemistry." Thesis, Massachusetts Institute of Technology, 1985. http://hdl.handle.net/1721.1/38553.

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Thesis (Sc. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1985.<br>MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE.<br>Bibliography: leaves 376-380.<br>by Thomas Richard Arthur Bussing.<br>Sc.D.

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28

Brandl, Michael. "Newton’s Method for a Finite Element Approach to the Incompressible Navier-Stokes Equations." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-122217.

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The cG(1)cG(1)-method is a finite element method for solving the incompressible Navier-Stokes equations, using a splitting scheme and fixed-point iteration to resolve the nonlinear term u · ∇u. In this thesis, Newton’s method has been implemented on a formulation of the cG(1)cG(1)-method without splitting, resulting in equal results for the velocity and pressure computation, but higher computation times and slower convergence.

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29

Silveira, Richard John. "A dual boundary and finite element method for fluid flow." Thesis, University of Cambridge, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.708272.

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30

Larson, Gregory J. "Performance of algebraic multigrid for parallelized finite element DNS/LES solvers /." Diss., CLICK HERE for online access, 2006. http://contentdm.lib.byu.edu/ETD/image/etd1559.pdf.

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31

Artale, Valeria. "Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations." Doctoral thesis, Università di Catania, 2012. http://hdl.handle.net/10761/1106.

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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 work is to elaborate a methodology for numerical modeling of all kinds of incompressible viscous fluids, having in mind possible application to deep water, lava flow simulation and crust formation. Our approach could be essentially divided in three fundamental components: finite difference for spatial approximation, second order accurate method for temporal discretization and level set methods for boundary representation. The domain i

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32

Mello, Olympio Achilles de Faria. "An improved hybrid navier-stokes/full-potential method for computation of unsteady compressible viscous flows." Diss., Georgia Institute of Technology, 1994. http://hdl.handle.net/1853/12026.

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33

Le, Moigne Alan. "A discrete Navier-Stokes adjoint method for aerodynamic optimisation of Blended Wing-Body configurations." Thesis, Cranfield University, 2002. http://dspace.lib.cranfield.ac.uk/handle/1826/826.

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An aerodynamic shape optimisation capability based on a discrete adjoint solver for Navier-Stokes flows is developed and applied to a Blended Wing-Body future transport aircraft. The optimisation is gradient-based and employs either directly a Sequential Quadratic Programming optimiser or a variable-fidelity optimisation method that combines low- and high-fidelity models. The shape deformations are parameterised using a B´ezier-Bernstein formulation and the structured grid is automatically deformed to represent the design changes. The flow solver at the heart of this optimisation chain is a Re

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34

Dufresne, Louis. "A spectral/B-spline method for the Navier-Stokes equations in unbounded cylindrical domains." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/NQ65449.pdf.

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35

De, Santis Dante. "Development of a high-order residual distribution method for Navier-Stokes and RANS equations." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2013. http://tel.archives-ouvertes.fr/tel-00946171.

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The construction of compact high-order Residual Distribution schemes for the discretizationof steady multidimensional advection-diffusion problems on unstructuredgrids is presented. Linear and non-linear scheme are considered. A piecewise continuouspolynomial approximation of the solution is adopted and a gradient reconstructionprocedure is used in order to have a continuous representation of both thenumerical solution and its gradient. It is shown that the gradient must be reconstructedwith the same accuracy of the solution, otherwise the formal accuracy ofthe numerical scheme is lost in appl

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36

Syvokorovska, A.-V. S. "Prospects of diagnosis of acute blood loss by the method of digital stokes polarimetry." Thesis, БДМУ, 2020. http://dspace.bsmu.edu.ua:8080/xmlui/handle/123456789/17585.

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37

Pelley, Rachel Elizabeth. "Development of the marker and cell method for use with unstructured meshes." Thesis, Swansea University, 2013. https://cronfa.swan.ac.uk/Record/cronfa42256.

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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 requi

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38

Akin, Ayhan. "Development Of A Laminar Navier-stokes Solver For Incompressible Flows Using Structured Grids." Master's thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/12607206/index.pdf.

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A method to solve the Navier-Stokes equations for incompressible viscous flows is proposed. This method is SIMPLE (Semi-Implicit Method for Pressure Linked Equations) algorithm to iteratively solve the two-dimensional laminar steady momentum equations and based upon finite volume method on staggered grids. Numerical tests are performed on several cases of the flow in the lid-driven cavity, as well as of the flow after a backward-facing step with SIMPLE and SIMPLER (SIMPLE Revised) methods. Finally, results are compared qualitatively and quantitatively with numerical and experimental results av

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39

Grigorian, Zachary. "Modeling, Discontinuous Galerkin Approximation and Simulation of the 1-D Compressible Navier Stokes Equations." Thesis, Virginia Tech, 2019. http://hdl.handle.net/10919/93197.

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In this thesis we derive time dependent equations that govern the physics of a thermal fluid flowing through a one dimensional pipe. We begin with the conservation laws described by the 3D compressible Navier Stokes equations. This model includes all residual terms resulting from the 1D flow approximations. The final model assumes that all the residual terms are negligible which is a standard assumption in industry. Steady state equations are obtained by assuming the temporal derivatives are zero. We develop a semi-discrete model by applying a linear discontinuous Galerkin method in the spatia

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40

Hu, Zheng Zheng. "Numerical simulation of laminar separated flows on adaptive tri-tree grids with the finite volume method." Thesis, University College London (University of London), 2000. http://discovery.ucl.ac.uk/1348853/.

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In this work, a code has been developed that solves the Navier-Stokes equations using the finite volume method with unstructured triangular grids. A cell-centred, finite volume method is used and the pressure-velocity coupling is treated using both the SMTLE and the MAC algorithms. The major advantage of using triangular grids is their applicability to complex geometry. A special treatment is developed to ensure good quality triangular elements around the boundaries. The numerical simulation of incompressible flow at low Reynolds number is studied in this thesis. A code for generating triangul

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41

Yek, Vorleak. "Numerical Investigation on the Projection Method for the Incompressible Navier-Stokes Equations on MAC Grid." Thesis, California State University, Long Beach, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10825591.

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<p> The motion of a viscous fluid flow is described by the well-known Navier-Stokes equations. The Navier-Stokes equations contain the conservation laws of mass and momentum, and describe the spatial-temporal change of the fluid velocity field. This thesis aims to investigate numerical solvers for the incompressible Navier-Stokes equations in two and three space dimensions. In particular, we focus on the second-order projection method introduced by Kim and Moin, which was extended from Chorin’s first-order projection method. We apply Fourier-Spectral methods for the periodic boundary con

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42

Haasler, Isabel. "A predictor corrector method for a Finite ElementMethod for the variable density Navier-Stokes equations." Thesis, KTH, Numerisk analys, NA, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-214837.

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Constructing Finite Element Methods for the incompressible Navier-Stokes equations that are computationally feasible requires the use of pressure segregation methods such as the predictor corrector scheme. From an algebraic point of view these methods correspond to a preconditioned Richardson iteration on the pressure Schur complement. In this work the theory is extended to a variable density model. We suggest a modified preconditioner and investigate its performance experimentally.<br>Konstruktion av Finita Elementmetoder för de inkompressibla Navier-Stokes ekvationer som är beräkningsmässigt

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43

Thomas, Craig George. "A locally conservative Galerkin (LCG) finite element method for convection-diffusion and Navier-Stokes equations." Thesis, Swansea University, 2006. https://cronfa.swan.ac.uk/Record/cronfa42342.

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In this thesis, an element-wise locally conservative Galerkin (LCG) finite element method is presented. The LCG method has been shown here to be successful in solving equations of scalar-transport, and the incompressible Navier-Stokes equations. The LCG approach facilitates an element-by-element solution and obtains a continuous and unique nodal solution from the surrounding element contributions, via averaging. A simple numerical flux establishes continuity at the edges between neighbouring elements. This allows the system of discrete equations to be solved over each elemental sub-domain, gre

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44

Aybay, Orhan. "Implementation Of The Spalart-allmaras Turbulence Model To A Two-dimensional Unstructured Navier-stokes Solver." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12605725/index.pdf.

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An unstructured explicit, Reynolds averaged Navier-Stokes solver is developed to operate on inviscid flows, laminar flows and turbulent flows and one equation Spalart-Allmaras turbulence modeling is implemented to the solver. A finite volume formulation, which is cell-center based, is used for numerical discretization of Navier-Stokes equations in conservative form. This formulation is combined with one-step, explicit time marching upwind numerical scheme that is the first order accurate in space. Turbulent viscosity is calculated by using one equation Spalart-Allmaras turbulence transport equ

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45

Ngom, Evrad Marie Diokel. "Contrôle frontière des équations de Navier-Stokes." Phd thesis, Université Claude Bernard - Lyon I, 2014. http://tel.archives-ouvertes.fr/tel-01064942.

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Cette thèse est consacrée à l'étude de problèmes de stabilisation exponentielle par retour d'état ou "feedback" des équations de Navier-Stokes dans un domaine borné Ω ⊂ Rd, d = 2 ou 3. Le cas d'un contrôle localisé sur la frontière du domaine est considéré. Le contrôle s'exprime en fonction du champ de vitesse à l'aide d'une loi de feedback non-linéaire. Celle-ci est fournie grâce aux techniques d'estimation a priori via la procédure de Faedo-Galerkin laquelle consiste à construire une suite de solutions approchées en utilisant une base de Galerkin adéquate. Cette loi de feedback assure la déc

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46

Ding, Jian. "Fast boundary element method solutions for three dimensional large scale problems." Available online, Georgia Institute of Technology, 2005, 2004. http://etd.gatech.edu/theses/available/etd-01102005-174227/unrestricted/ding%5Fjian%5F200505%5Fphd.pdf.

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Thesis (Ph. D.)--Mechanical Engineering, Georgia Institute of Technology, 2005.<br>Mucha, Peter, Committee Member ; Qu, Jianmin, Committee Member ; Ye, Wenjing, Committee Chair ; Hesketh, Peter, Committee Member ; Gray, Leonard J., Committee Member. Vita. Includes bibliographical references.

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47

Coskun, Korhan. "Three Dimensional Laminar Compressible Navier Stokes Solver For Internal Rocket Flow Applications." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/12609086/index.pdf.

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A three dimensional, Navier-Stokes finite volume flow solver which uses Roe&rsquo<br>s upwind flux differencing scheme for spatial and Runge-Kutta explicit multi-stage time stepping scheme and implicit Lower-Upper Symmetric Gauss Seidel (LU-SGS) iteration scheme for temporal discretization on unstructured and hybrid meshes is developed for steady rocket internal viscous flow applications. The spatial accuracy of the solver can be selected as first or second order. Second order accuracy is achieved by piecewise linear reconstruction. Gradients of flow variables required for piecewise linear rec

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Clément, Philippe. "Developpements et applications de methodes numeriques volumes finis pour la description d'ecoulements oceaniques." Université Joseph Fourier (Grenoble), 1996. http://www.theses.fr/1996GRE10065.

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Ce rapport aborde les problemes generaux lies a la simulation numerique des ecoulements oceaniques. Dans ce contexte, on desire observer le comportement de methodes numeriques n'impliquant a priori aucune hypothese limitative sur les echelles spatiales de la modelisation. Pour cela, on a adapte et developpe des techniques de resolution des equations de navier stokes incompressibles par des methodes de type volume fini. Dans la premiere partie, nous presentons le principe et les modifications numeriques entreprises sur l'application de cette technique a des maillages discrets structures. La rep

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Kelly, Jesse. "Numerical solution of the two-phase incompressible navier-stokes equations using a gpu-accelerated meshless method." Honors in the Major Thesis, University of Central Florida, 2009. http://digital.library.ucf.edu/cdm/ref/collection/ETH/id/1277.

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This item is only available in print in the UCF Libraries. If this is your Honors Thesis, you can help us make it available online for use by researchers around the world by following the instructions on the distribution consent form at http://library.ucf.edu/Systems/DigitalInitiatives/DigitalCollections/InternetDistributionConsentAgreementForm.pdf You may also contact the project coordinator, Kerri Bottorff, at kerri.bottorff@ucf.edu for more information.<br>Bachelors<br>Engineering and Computer Science<br>Mechanical Engineering

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Fidkowski, Krzysztof J. 1981. "A simplex cut-cell adaptive method for high-order discretizations of the compressible Navier-Stokes equations." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/39701.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2007.<br>Includes bibliographical references (p. 169-175).<br>While an indispensable tool in analysis and design applications, Computational Fluid Dynamics (CFD) is still plagued by insufficient automation and robustness in the geometry-to-solution process. This thesis presents two ideas for improving automation and robustness in CFD: output-based mesh adaptation for high-order discretizations and simplex, cut-cell mesh generation. First, output-based mesh adaptation consists of generating a sequence

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