Journal ArticleDOI
On the behaviour of upwind schemes in the low Mach number limit
Hervé Guillard,Cécile Viozat +1 more
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In this article, an asymptotic analysis in power of the Mach number of the flux difference splitting approximation of the compressible Euler equations in the low Mach number limit is presented.About:
This article is published in Computers & Fluids.The article was published on 1999-01-01. It has received 461 citations till now. The article focuses on the topics: Mach wave & Compressible flow.read more
Citations
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Book
Finite Volume Methods for Hyperbolic Problems
TL;DR: The CLAWPACK software as discussed by the authors is a popular tool for solving high-resolution hyperbolic problems with conservation laws and conservation laws of nonlinear scalar scalar conservation laws.
Book
Computational Fluid Dynamics: Principles and Applications Ed. 3
TL;DR: This updated edition includes new worked programming examples, expanded coverage and recent literature regarding incompressible flows, the Discontinuous Galerkin Method, the Lattice Boltzmann Method, higher-order spatial schemes, implicit Runge-Kutta methods and code parallelization.
Journal ArticleDOI
A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows
Richard Saurel,Rémi Abgrall +1 more
TL;DR: A new model and a solution method for two-phase compressible flows is proposed that provides reliable results, is able to compute strong shock waves, and deals with complex equations of state.
Journal ArticleDOI
Preconditioning techniques in computational fluid dynamics
TL;DR: Low speed preconditioner for steady-state compressible inviscid fluid dynamic equations that accelerates the convergence to a steady state for problems in which a significant portion of the flow is low speed.
Journal ArticleDOI
An improved reconstruction method for compressible flows with low Mach number features
TL;DR: Numerical tests demonstrate that the new scheme captures shock waves well, significantly improves resolution of low Mach number features and greatly reduces high wave number dissipation in the case of homogeneous decaying turbulence and Richtmyer-Meshkov mixing.
References
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Journal ArticleDOI
Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation
C. M. Rhie,W. L. Chow +1 more
TL;DR: In this paper, a methode numerique par volume fini pour the resolution des equations de Navier-Stokes bidimensionnelles, incompressible, and stationnaires, en coordonnees generales curvilignes, is presented.
Book
Compressible fluid flow and systems of conservation laws in several space variables
TL;DR: In this paper, the authors describe the ecoulement of chocs as compressible and stabilite, and use it to detect fluides and to compressible choc.
Journal ArticleDOI
A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuscka-Brezzi condition: A stable Petrov-Galerkin formulation of
TL;DR: A new Petrov-Galerkin formulation of the Stokes problem is proposed in this paper, which possesses better stability properties than the classical Galerkin/variational method.
Journal ArticleDOI
Preconditioning Applied to Variable and Constant Density Flows
Jonathan M. Weiss,Wayne A. Smith +1 more
TL;DR: A time-derivative preconditioning of the Navier-Stokes equations, suitable for both variable and constant density fluids, is developed and is shown to provide accurate steady-state solutions for transonic and low-speed flow of variable density fluids.
Journal ArticleDOI
Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
Sergiu Klainerman,Andrew Majda +1 more
TL;DR: In this article, a general theory of singular limits in compressible fluid flow and magneto-fluid dynamics is developed, which is broad enough to study a wide variety of interesting singular limits.
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Preconditioning Applied to Variable and Constant Density Flows
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