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1

Akargun, Yigit Hayri. "Least-squares Finite Element Solution Of Euler Equations With Adaptive Mesh Refinement." Master's thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12614138/index.pdf.

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Least-squares finite element method (LSFEM) is employed to simulate 2-D and axisymmetric flows governed by the compressible Euler equations. Least-squares formulation brings many advantages over classical Galerkin finite element methods. For non-self-adjoint systems, LSFEM result in symmetric positive-definite matrices which can be solved efficiently by iterative methods. Additionally, with a unified formulation it can work in all flight regimes from subsonic to supersonic. Another advantage is that, the method does not require artificial viscosity since it is naturally diffusive which also ap
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2

Amoignon, Olivier. "Numerical Methods for Aerodynamic Shape Optimization." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-6252.

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Holder, Justin. "Fluid Structure Interaction in Compressible Flows." University of Cincinnati / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=ucin159584692691518.

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Tota, Prasad Venkateshwara. "Meshless Euler solver using radial basis functions for solving inviscid compressible flows." [Ames, Iowa : Iowa State University], 2006.

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5

Cole, Jeffrey William. "Hydrodynamic stability of compressible boundary layer flows." Thesis, University of Exeter, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.282650.

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6

Zuppel, Eddy. "A numerical method for compressible viscous fluid flows /." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=80158.

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The steady two-dimensional compressible Navier-Stokes equations are solved using an iterative pseudo-time relaxation technique. An implicit first-order accurate Euler scheme is implemented after augmenting the steady governing equations by pseudo-time derivative terms, including artificial compressibility in the continuity equation and preconditioning in the energy equation. These augmented equations are modified by lagging certain flow variables in pseudo-time and by applying approximate factorization and an alternating direction implicit (ADI) method to split the solution procedure in
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7

Rudgyard, Michael A. "Cell vertex methods for compressible gas flows." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.279991.

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8

Nejat, Amir. "A higher-order accurate unstructured finite volume Newton-Krylov algorithm for inviscid compressible flows." Thesis, University of British Columbia, 2007. http://hdl.handle.net/2429/30969.

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A fast implicit (Newton-Krylov) finite volume algorithm is developed for higher-order unstructured (cell-centered) steady-state computation of inviscid compressible flows (Euler equations). The matrix-free General Minimal Residual (GMRES) algorithm is used for solving the linear system arising from implicit discretization of the governing equations, avoiding expensive and complicated explicit computation of the higher-order Jacobian matrix. An Incomplete Lower-Upper factorization technique is employed as the preconditioning strategy and a first-order Jacobian as a preconditioning matrix. The s
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9

Michalak, Christopher. "Efficient high-order accurate unstructured finite-volume algorithms for viscous and inviscid compressible flows." Thesis, University of British Columbia, 2009. http://hdl.handle.net/2429/7094.

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High-order accurate methods have the potential to dramatically reduce the computational time needed for aerodynamics simulations. This thesis studies the discretization and efficient convergence to steady state of the high-order accurate finite-volume method applied to the simplified problem of inviscid and laminar viscous two-dimensional flow equations. Each of the three manuscript chapters addresses a specific problem or limitation previously experienced with these schemes. The first manuscript addresses the absence of a method to maintain monotonicity of the solution at discontinuities whil
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10

Slack, David Christopher. "The development of solution algorithms for compressible flows." Diss., This resource online, 1991. http://scholar.lib.vt.edu/theses/available/etd-07282008-134254/.

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11

Kolibal, Joseph. "Aspects of finite volume method for compressible flows." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.237837.

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12

Tam, Anna. "An anisotropic adaptive method for the solution of 3-D inviscid and viscous compressible flows." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape11/PQDD_0003/NQ40309.pdf.

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13

Mossi, Michele. "Simulation of benchmark and industrial unsteady compressible turbulent fluid flows /." [S.l.] : [s.n.], 1999. http://library.epfl.ch/theses/?nr=1958.

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14

Greaves, Deborah Mary. "Numerical modelling of laminar separated flows and inviscid steep waves using adaptive hierarchical meshes." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.308788.

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15

Shelton, Andrew Brian. "A multi-resolution discontinuous galerkin method for unsteady compressible flows." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/24715.

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Thesis (Ph.D.)--Aerospace Engineering, Georgia Institute of Technology, 2009.<br>Committee Chair: Smith, Marilyn; Committee Co-Chair: Zhou, Hao-Min; Committee Member: Dieci, Luca; Committee Member: Menon, Suresh; Committee Member: Ruffin, Stephen
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16

Kupiainen, Marco. "Compressible Turbulent Flows : LES and Embedded Boundary Methods." Doctoral thesis, KTH, Numerisk analys, NA, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-10090.

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17

Sermeus, Kurt. "Multi-dimensional upwind discretization and application to compressible flows." Doctoral thesis, Universite Libre de Bruxelles, 2013. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209519.

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This thesis is concerned with the further development and analysis of a class of Computational Fluid Dynamics (CFD) methods for the numerical simulation of compressible flows on unstructured grids, known as Residual Distribution (RD).<p>The RD method constitutes a class of discretization schemes for hyperbolic systems <p>of conservation laws, which forms an attractive alternative to the more classical Finite Volume methods, particularly since it allows better representation of the flow physics by genuinely multi-dimensional upwinding and offers second-order accuracy on a compact stencil.<p><p>
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18

Ramos, Alejandro. "Development of a Meshless Method to Solve Compressible Potential Flows." DigitalCommons@CalPoly, 2010. https://digitalcommons.calpoly.edu/theses/337.

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The utility of computational fluid dynamics (CFD) for solving problems of engineering interest has experienced rapid growth due to the improvements in both memory capacity and processing speed of computers. While the capability now exists for the solution of the Navier-Stokes equations about complex and complete aircraft configurations, the bottleneck within the process is the time consuming task of properly generating a mesh that can accurately solve the governing partial differential equations (PDEs). This thesis explored two numerical techniques that attempt to circumvent the difficulty as
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19

D'Angelo, Stefano. "Adjoint-based error estimation for adaptive Petrov-Galerkin finite element methods: Application to the Euler equations for inviscid compressible flows." Doctoral thesis, Universite Libre de Bruxelles, 2015. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/228297.

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The current work concerns the study and the implementation of a modern algorithm for a posteriori error estimation in Computational Fluid Dynamics (CFD) simulations based on partial differential equations (PDEs). The estimate involves the use of duality argument and proper consistent discretisation of primal and dual problem.A key element is the construction of the adjoint form of the primal differential operators where the data term is a quantity of interest depending on the application. In engineering, this is typically a physical functional of the solution. So, by solving this adjoint probl
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20

Lucas, Daniel. "A highly adaptive three dimensional hybrid vortex method for inviscid flows and helically symmetric vortex equilibria." Thesis, University of St Andrews, 2012. http://hdl.handle.net/10023/3091.

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This thesis is concerned with three-dimensional vortex dynamics, in particular the modelling of vortex structures in an inviscid context. We are motivated by the open problem of regularity of the inviscid equations, i.e. whether or not these equations possess solutions. This problem is manifest in small scales, where vortex filaments are stretched and intensify as they are drawn into increasingly thin tendrils. This creates great difficulty in the investigation of such flows. Our only means of experimentation is to perform numerical simulations, which require exceptionally high resolution to c
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21

Hariharan, Nathan. "High order simulation of unsteady compressible flows over interacting bodies with overset grids." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/12960.

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22

Sorensen, K. A. "A multigrid accelerated procedure for the solution of compressible fluid flows on unstructured hybrid meshes." Thesis, Swansea University, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.639089.

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A method for solving compressible fluid flow problems is described. The convergence of the solver is accelerated with the use of a multigrid scheme where the coarse meshes are created in an automatic way, using grid agglomeration. For viscous flows, a methodology for the application of unstructured hybrid meshes is proposed. A geometrically conservative, second order scheme for flows involving geometry movement for these meshes is presented. The performance of the method is illustrated in several examples of inviscid and viscous, steady-state and time-dependent flow. The complexity of the geom
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23

Crittenden, Thomas M. "Fluid actuators for high speed flow control." Diss., Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/7742.

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In order to extend fluid-based flow control techniques that have been demonstrated at low subsonic speeds to high speed flows, it is necessary to develop actuators having sufficient momentum to control and manipulate high speed flows. Two fluidic actuation approaches are developed where the control jet may reach supersonic velocities and their performance is characterized. The first actuator is a compressible synthetic (zero net mass flux) jet. This is an extension of previous work on synthetic jets with an increase in driver power yielding substantial pressurization of the cavity such that th
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24

Padioleau, Thomas. "Development of "all-régime" AMR simulation methods for fluid dynamics, application in astrophysics and two-phase flows." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASP086.

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Bien que performantes pour la capture des chocs, la plupart des méthodes de simulation standards ne sont pas adaptées à des régimes de Mach variés. Des méthodes numériques innovantes, utilisant des schémas de type Volumes Finis, robustes et précises uniformément selon le nombre de Mach (dites "tout régime") ont été récemment élaborées au CEA. Ces méthodes permettent de résoudre les équations de la mécanique des fluides compressibles pour capturer des chocs, mais aussi pour simuler des écoulements à très faible vitesse. Fort de ces résultats prometteurs, nous proposons dans cette thèse de mettr
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25

Strodtbeck, Joshua. "A FILTER-FORCING TURBULENCE MODEL FOR LARGE EDDY SIMULATION INCORPORATING THE COMPRESSIBLE "POOR MAN'S" NAVIER--STOKES EQUATIONS." UKnowledge, 2012. http://uknowledge.uky.edu/me_etds/13.

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A new approach to large-eddy simulation (LES) based on the use of explicit spatial filtering combined with backscatter forcing is presented. The forcing uses a discrete dynamical system (DDS) called the compressible ``poor man's'' Navier--Stokes (CPMNS) equations. This DDS is derived from the governing equations and is shown to exhibit good spectral and dynamical properties for use in a turbulence model. An overview and critique of existing turbulence theory and turbulence models is given. A comprehensive theoretical case is presented arguing that traditional LES equations contain unresolved s
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26

Bailey, David A. "A ghost fluid, finite volume continuous rezone/remap Eulerian method for time-dependent compressible Euler flows." Thesis, University of Reading, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.414620.

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27

Choudhary, Aniruddha. "Verification of Compressible and Incompressible Computational Fluid Dynamics Codes and Residual-based Mesh Adaptation." Diss., Virginia Tech, 2015. http://hdl.handle.net/10919/51169.

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Code verification is the process of ensuring, to the degree possible, that there are no algorithm deficiencies and coding mistakes (bugs) in a scientific computing simulation. In this work, techniques are presented for performing code verification of boundary conditions commonly used in compressible and incompressible Computational Fluid Dynamics (CFD) codes. Using a compressible CFD code, this study assesses the subsonic inflow (isentropic and fixed-mass), subsonic outflow, supersonic outflow, no-slip wall (adiabatic and isothermal), and inviscid slip-wall. The use of simplified curved surfac
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28

Abbate, Emanuela. "Numerical methods for all-speed flows in fluid-dynamics and non-linear elasticity." Thesis, Bordeaux, 2018. http://www.theses.fr/2018BORD0409/document.

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Dans cette thèse on s’intéresse à la simulation numérique d’écoulements des matériaux compressibles, voir fluides et solides élastiques. Les matériaux considérés sont décrits avec un modèle monolithique eulérian, fermé avec une loi d’état hyperélastique qui considère les différents comportements des matériaux. On propose un nouveau schéma de relaxation qui résout les écoulements compressibles dans des différents régimes, avec des nombres de Mach très petits jusqu’à l’ordre 1. Le schéma a une formulation générale qui est la même pour tous le matériaux considérés, parce que il ne dépend pas dire
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29

Durmus, Gokhan. "Parallel Navier Stokes Solutions Of Low Aspect Ratio Rectangular Flat Wings In Compressible Flow." Phd thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/3/12605442/index.pdf.

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The objective of this thesis is to accomplish the three dimensional parallel thin-layer Navier-Stokes solutions for low aspect ratio rectangular flat wings in compressible flow. Two block parallel Navier Stokes solutions of an aspect ratio 1.0 flat plate with sharp edges are obtained at different Mach numbers and angles of attack. Reynolds numbers are of the order of 1.0E5-3.0E5. Two different grid configurations, the coarse and the fine grids, are applied in order to speed up convergence. In coarse grid configuration, 92820 total grid points are used in two blocks, whereas it is 700,000 in fi
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30

Sigfrids, Timmy. "Hot wire and PIV studies of transonic turbulent wall-bounded flows." Licentiate thesis, KTH, Mechanics, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-1577.

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<p>The compressible turbulent boundary layer developing over atwo-dimensional bump which leads to a supersonic pocket with aterminating shock wave has been studied. The measurements havebeen made with hot-wire anemometry and Particle ImageVelocimetry (PIV).</p><p>A method to calibrate hot-wire probes in compressible ow hasbeen developed which take into account not only the ow velocitybut also the inuence of the Mach number, stagnation temperatureand uid density. The calibration unit consists of a small jetow facility, where the temperature can be varied. The hot wiresare calibrated in the pote
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31

Sambasivan, Shiv Kumar. "A sharp interface Cartesian grid hydrocode." Diss., University of Iowa, 2010. https://ir.uiowa.edu/etd/593.

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Dynamic response of materials to high-speed and high-intensity loading conditions is important in several applications including high-speed flows with droplets, bubbles and particles, and hyper-velocity impact and penetration processes. In such high-pressure physics problems, simulations encounter challenges associated with the treatment of material interfaces, particularly when strong nonlinear waves like shock and detonation waves impinge upon them. To simulate such complicated interfacial dynamics problems, a fixed Cartesian grid approach in conjunction with levelset interface tracking is a
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32

Post, Pascal [Verfasser], Mare Francesca [Gutachter] di, and Uwe [Gutachter] Gampe. "Development of efficient numerical methods for non-ideal compressible fluid flows in propulsion and power / Pascal Post ; Gutachter: Francesca di Mare, Uwe Gampe ; Fakultät für Maschinenbau." Bochum : Ruhr-Universität Bochum, 2020. http://d-nb.info/1221370146/34.

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33

Dobes, Jiri. "Numerical algorithms for the computation of steady and unsteady compressible flow over moving geometries: application to fluid-structure interaction." Doctoral thesis, Universite Libre de Bruxelles, 2007. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210640.

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<p align="justify">This work deals with the development of numerical methods for compressible flow simulation with application to the interaction of fluid flows and structural bodies.</p><p><p><p align="justify">First, we develop numerical methods based on multidimensional upwind residual distribution (RD) schemes. Theoretical results for the stability and accuracy of the methods are given. Then, the RD schemes for unsteady problems are extended for computations on moving meshes. As a second approach, cell centered and vertex centered finite volume (FV) schemes are considered. The RD schemes a
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34

Sundström, Elias. "Flow instabilities in centrifugal compressors at low mass flow rate." Doctoral thesis, KTH, Mekanik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-217821.

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A centrifugal compressor is a mechanical machine with purpose to convert kineticenergy from a rotating impeller wheel into the fluid medium by compressingit. One application involves supplying boost air pressure to downsized internalcombustion engines (ICE). This allows, for a given combustion chamber volume,more oxygen to the combustion process, which is key for an elevated energeticefficiency and reducing emissions. However, the centrifugal compressor is limitedat off-design operating conditions by the inception of flow instabilities causingrotating stall and/or surge. These instabilities ap
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35

Ben, Hassan Saïdi Ismaïl. "Numerical simulations of the shock wave-boundary layer interactions." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLS390/document.

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Les situations dans lesquelles une onde de choc interagit avec une couche limite sont nombreuses dans les industries aéronautiques et spatiales. Sous certaines conditions (nombre de Mach élevé, grand angle de choc…), ces interactions entrainent un décollement de la couche limite. Des études antérieures ont montré que la zone de recirculation et le choc réfléchi sont tous deux soumis à un mouvement d'oscillation longitudinale à basse fréquence connu sous le nom d’instabilité de l’interaction onde de choc / couche limite (IOCCL). Ce phénomène appelé soumet les structures à des chargement oscilla
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36

Iampietro, David. "Contribution à la simulation d'écoulements diphasiques compressibles à faible vitesse en présence de sauts de pression par approches homogène et bi-fluide." Thesis, Aix-Marseille, 2018. http://www.theses.fr/2018AIXM0535/document.

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Les travaux de thèse sont axés sur les méthodes numériques pour les écoulements diphasiques, compressibles, à faible vitesse, avec apparition soudaine de forts gradients de pression. La vitesse matérielle de chacune des phases étant très petite devant la célérité des ondes acoustiques, le régime d'écoulement est dit à faible nombre de Mach. Dans ce travail, la loi d'état de la phase considérée contient toujours une information mesurant sa plus ou moins grande compressibilité. Ainsi, la faible compressibilité de l'eau peut produire un régime d'écoulement où des sauts de pression importants appa
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37

Sun, Hua. "Modélisation et simulation numérique de la convection naturelle dans des mélanges binaires de gaz parfaits contenus dans des cavités : application à la condensation ou à lévaporation surfaciques." Phd thesis, Université Paris-Est, 2010. http://tel.archives-ouvertes.fr/tel-00598321.

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L'objectif de c e mémoire est d'apporter une contribution à la modélisation et la simulation numérique de la convection thermosolutale de mélanges binaires de gaz parfaits contenus dans des cavités. Un modèle a été élaboré en se basant sur l'approximation de faible compressibilité. Le premier chapitre précise la démarche suivie dans la modélisation et une formulation originale en est déduite afin de traiter les différents types de conditions aux limites et de conditions de références hydrostatiques analysés dans le mémoire. Les variations de masse volumique sont déduites de la loi des gaz parf
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38

Tang, Kunkun. "Combining Discrete Equations Method and Upwind Downwind-Controlled Splitting for Non-Reacting and Reacting Two-Fluid Computations." Phd thesis, Université de Grenoble, 2012. http://tel.archives-ouvertes.fr/tel-00819824.

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Lors que nous examinons numériquement des phénomènes multiphasiques suite à un accidentgrave dans le réacteur nucléaire, la dimension caractéristique des zones multi-fluides(non-réactifs et réactifs) s'avère beaucoup plus petite que celle du bâtiment réacteur, cequi fait la Simulation Numérique Directe de la configuration à peine réalisable. Autrement,nous proposons de considérer la zone de mélange multiphasique comme une interface infinimentfine. Puis, le solveur de Riemann réactif est inséré dans la Méthode des ÉquationsDiscrètes Réactives (RDEM) pour calculer le front de combustion à grande
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39

Corot, Théo. "Simulation numérique d'ondes de choc dans un milieu bifluide : application à l'explosion vapeur." Thesis, Paris, CNAM, 2017. http://www.theses.fr/2017CNAM1125/document.

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Cette thèse s'intéresse à la simulation numérique de l'explosion vapeur. Ce phénomène correspond à une vaporisation instantanée d'un volume d'eau liquide entraînant un choc de pression. Nous nous y intéressons dans le cadre de la sûreté nucléaire. En effet, lors d'un accident entraînant la fusion du cœur du réacteur, du métal fondu pourrait interagir avec de l'eau liquide et entraîner un tel choc. On voudrait alors connaître l'ampleur de ce phénomène et les risques d'endommagements de la centrale qu'il implique. Pour y parvenir, nous utilisons pour modèle les équations d'Euler dans un cadre La
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40

Raghavendra, Nandagiri Venkata. "Discrete Velocity Boltzmann Schemes for Inviscid Compressible Flows." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/4314.

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It is known that high-speed flows are compressible. In large parts of the flow domains, the inviscid approximation is valid and this leads to Euler equations of gas dynamics. These inviscid compressible flows are modelled by coupled nonlinear hyperbolic systems of partial differential equations and generally require numerical solution techniques, as analytical solutions are usually not available. Out of all the numerical methods developed over the past five decades to solve the Euler equations, the schemes based on kinetic theory of gases are elegant ones with distinct advantages of simplicit
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41

Ghosh, Ashis Kumar. "Robust Least Squares Kinetic Upwind Method For Inviscid Compressible Flows." Thesis, 1996. https://etd.iisc.ac.in/handle/2005/1570.

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Ghosh, Ashis Kumar. "Robust Least Squares Kinetic Upwind Method For Inviscid Compressible Flows." Thesis, 1996. http://etd.iisc.ernet.in/handle/2005/1570.

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43

Felthum, Luke T. "Finite element analysis of compressible flows." Thesis, 1995. https://hdl.handle.net/10539/24374.

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A dissertation submitted to the Faculty of Engineering, University of the Witwatersrand, Johannesburg, in fulfilment of the requirements for the degree of Master of Science in Engineering.<br>In this research a finite element analysis program was developed for the modelling of general compressible Euler flows. An explicit Taylor-Galerkin algorithm was used as the flow solver and was used in conjunction with a flux-corrected transport algorithm in order to obtain high shock resolution without numerical oscillations and overshoots. The solver was applied to two and three dimensional geomet
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44

Thoren, Elizabeth Erin. "Linear instability for incompressible inviscid fluid flows : two classes of perturbations." 2009. http://hdl.handle.net/2152/6571.

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One approach to examining the stability of a fluid flow is to linearize the evolution equation at an equilibrium and determine (if possible) the stability of the resulting linear evolution equation. In this dissertation, the space of perturbations of the equilibrium flow is split into two classes and growth of the linear evolution operator on each class is analyzed. Our classification of perturbations is most naturally described in V.I. Arnold’s geometric view of fluid dynamics. The first class of perturbations we examine are those that preserve the topology of vortex lines and the second clas
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45

"Some topics on compressible flows in nozzles." Thesis, 2007. http://library.cuhk.edu.hk/record=b6074443.

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Finally, we discuss some open problems closely related to the results obtained in this thesis and give some perspectives.<br>First, we study global subsonic and subsonic-sonic potential flows through a general infinitely long two dimensional or three dimensional axially symmetric nozzle. It is proved that there exists a critical value for the incoming mass flux so that a global uniformly subsonic flow exists in the nozzle as long as the incoming mass flux is less than the critical value. Furthermore, we establish some uniform estimates for the deflection angles and the minimum speed of the sub
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46

Kotnala, Sourabh. "Lattice Boltzmann Relaxation Scheme for Compressible Flows." Thesis, 2012. http://etd.iisc.ac.in/handle/2005/3257.

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Lattice Boltzmann Method has been quite successful for incompressible flows. Its extension for compressible (especially supersonic and hypersonic) flows has attracted lot of attention in recent time. There have been some successful attempts but nearly all of them have either resulted in complex or expensive equilibrium function distributions or in extra energy levels. Thus, an efficient Lattice Boltzmann Method for compressible fluid flows is still a research idea worth pursuing for. In this thesis, a new Lattice Boltzmann Method has been developed for compressible flows, by using the concept
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47

Kotnala, Sourabh. "Lattice Boltzmann Relaxation Scheme for Compressible Flows." Thesis, 2012. http://hdl.handle.net/2005/3257.

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Lattice Boltzmann Method has been quite successful for incompressible flows. Its extension for compressible (especially supersonic and hypersonic) flows has attracted lot of attention in recent time. There have been some successful attempts but nearly all of them have either resulted in complex or expensive equilibrium function distributions or in extra energy levels. Thus, an efficient Lattice Boltzmann Method for compressible fluid flows is still a research idea worth pursuing for. In this thesis, a new Lattice Boltzmann Method has been developed for compressible flows, by using the concept
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48

Welter, Roland Kuha. "Asymptotic approximation of fluid flows from the compressible Navier-Stokes equations." Thesis, 2021. https://hdl.handle.net/2144/42958.

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In this thesis a method for studying the asymptotic behavior of solutions to dissipative partial differential equations is developed, motivated by the study of the compressible Navier-Stokes equations in the past works of Hoff and Zumbrun,1995, Hoff and Zumbrun, 1997. In its most basic form, this method allows one to compute n^th order approximations in terms of Hermite functions of solutions of the heat equation having n^th order moments. The main advantage is that these approximations can be efficiently computed, and are often given explicitly in terms of elementary functions. It is shown
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Deka, Mandeep. "Stability of wall-bounded compressible shear flows." Thesis, 2023. https://etd.iisc.ac.in/handle/2005/6163.

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In this work, the linear stability of compressible shear flows in channels and pipes are studied. A steady fully-developed laminar flow of an ideal gas, driven in a channel and a pipe by a constant body acceleration, is considered as the base state. The base flow profiles, being functions of Mach number, are obtained through numerical solution of the Navier-Stokes equations under steady parallel-flow conditions. Small amplitude normal mode perturbations are added to this flow and temporally growing solutions are studied. The evolution equations for the normal modes, that form a linear eigenval
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"A novel macro particle method for compressible flows: graphics and fluid dynamics applications." 2003. http://library.cuhk.edu.hk/record=b6073620.

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Kar Ki Chan.<br>"November 2003."<br>Thesis (Ph.D.)--Chinese University of Hong Kong, 2003.<br>Includes bibliographical references (p. 104-113).<br>Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web.<br>Electronic reproduction. Ann Arbor, MI : ProQuest Information and Learning Company, [200-] System requirements: Adobe Acrobat Reader. Available via World Wide Web.<br>Mode of access: World Wide Web.<br>Abstracts in English and Chinese.
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