Efficient Solution Algorithms for the Riemann Problem for Real Gases
Phillip Colella,Harland M. Glaz +1 more
TLDR
A procedure for constructing solutions to the Riemann problem for gas dynamics with a general convex equation of state is given in this paper, where approximate procedures involving a local parametrization of the EO of state are introduced in order to calculate numerical fluxes in conservative finite difference schemes.About:
This article is published in Journal of Computational Physics.The article was published on 1985-06-01 and is currently open access. It has received 569 citations till now. The article focuses on the topics: Riemann problem & Riemann solver.read more
Citations
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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.
Journal ArticleDOI
The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations
Phillip Colella,Paul R. Woodward +1 more
TL;DR: This work recognizes the need for additional dissipation in any higher-order Godunov method of this type, and introduces it in such a way so as not to degrade the quality of the results.
Journal ArticleDOI
Local adaptive mesh refinement for shock hydrodynamics
Marsha Berger,Phillip Colella +1 more
TL;DR: An automatic, adaptive mesh refinement strategy for solving hyperbolic conservation laws in two dimensions and how to organize the algorithm to minimize memory and CPU overhead is developed.
Journal ArticleDOI
Flash: An adaptive mesh hydrodynamics code for modeling astrophysical thermonuclear flashes
B. Fryxell,K. Olson,Paul M. Ricker,Francis Timmes,Michael Zingale,D. Q. Lamb,Peter MacNeice,Robert Rosner,James W. Truran,Henry M. Tufo +9 more
TL;DR: The first version of a new-generation simulation code, FLASH, solves the fully compressible, reactive hydrodynamic equations and allows for the use of adaptive mesh refinement and contains state-of-the-art modules for the equations of state and thermonuclear reaction networks.
FLASH: Adaptive Mesh Hydrodynamics Code for Modeling Astrophysical Thermonuclear Flashes
Bruce Fryxell,K. Olson,Paul M. Ricker,Frank Timmes,Michael Zingale,D. Q. Lamb,Peter MacNeice,Robert Rosner,J. W. Truran,Henry M. Tufo +9 more
TL;DR: FLASH as discussed by the authors is a new generation simulation code, which solves the fully compressible, reactive hydrodynamic equations and allows for the use of adaptive mesh refinement, and also contains state-of-the-art modules for the equations of state and thermonuclear reaction networks.
References
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Journal ArticleDOI
Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method
TL;DR: In this article, a second-order extension of the Lagrangean method is proposed to integrate the equations of ideal compressible flow, which is based on the integral conservation laws and is dissipative, so that it can be used across shocks.
Journal ArticleDOI
The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations
Phillip Colella,Paul R. Woodward +1 more
TL;DR: This work recognizes the need for additional dissipation in any higher-order Godunov method of this type, and introduces it in such a way so as not to degrade the quality of the results.
Book
Supersonic flow and shock waves
Richard Courant,Kurt Friedrichs +1 more
TL;DR: In this article, the authors proposed a method to compressible ecoulement for compressible compressible and supersonique and onde de choc Reference Record created on 2005-11-18, modified on 2016-08-08
Journal Article
Finite difference methods for numerical computation of discontinous solutions of the equations of fluid dynamics
Journal ArticleDOI
The numerical simulation of two-dimensional fluid flow with strong shocks
Paul R. Woodward,Phillip Colella +1 more
TL;DR: In this paper, a comparison of numerical methods for simulating hydrodynamics with strong shocks in two dimensions is presented and discussed, and three approaches to treating discontinuities in the flow are discussed.
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The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations
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