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182,531
An Approximate Riemann Solver for Magnetohydrodynamics
, 1994
"... An approximate Riemann solver is developed for the governing equations of ideal magnetohydrodynamics (MHD). The Riemann solver has an eightwave structure, where seven of the waves are those used in previous work on upwind schemes for MHD, and the eighth wave is related to the divergence of the magn ..."
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Cited by 64 (9 self)
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An approximate Riemann solver is developed for the governing equations of ideal magnetohydrodynamics (MHD). The Riemann solver has an eightwave structure, where seven of the waves are those used in previous work on upwind schemes for MHD, and the eighth wave is related to the divergence
Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
 J. COMP. PHYS
, 1981
"... Several numerical schemes for the solution of hyperbolic conservation laws are based on exploiting the information obtained by considering a sequence of Riemann problems. It is argued that in existing schemes much of this information is degraded, and that only certain features of the exact solution ..."
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Cited by 959 (2 self)
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Several numerical schemes for the solution of hyperbolic conservation laws are based on exploiting the information obtained by considering a sequence of Riemann problems. It is argued that in existing schemes much of this information is degraded, and that only certain features of the exact solution
An approximate Riemann solver for hypervelocity flows
, 1991
"... We describe an approximate Riemann solver for the computation of hypervelocity flows in which there are strong shocks and viscous interactions. The scheme has three stages, the first of which computes the intermediate states assuming isentropic waves. A second stage, based on the strong shock relati ..."
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Cited by 2 (0 self)
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We describe an approximate Riemann solver for the computation of hypervelocity flows in which there are strong shocks and viscous interactions. The scheme has three stages, the first of which computes the intermediate states assuming isentropic waves. A second stage, based on the strong shock
A Class of Approximate Riemann Solvers and Their Relation to Relaxation Schemes
 J. Comput. Phys
, 2001
"... We show that a simple relaxation scheme of the type proposed by Jin and Xin [Comm. Pure Appl. Math. 48(1995) pp. 235276] can be reinterpreted as defining a particular approximate Riemann solver for the original system of m conservation laws. Based on this observation, a more general class of appro ..."
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Cited by 32 (5 self)
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We show that a simple relaxation scheme of the type proposed by Jin and Xin [Comm. Pure Appl. Math. 48(1995) pp. 235276] can be reinterpreted as defining a particular approximate Riemann solver for the original system of m conservation laws. Based on this observation, a more general class
Approximate Riemann Solvers For Moment Models Of Dilute Gases
, 1996
"... b Lowrie for providing many good discussions. Finally, I would like to acknowledge the financial support that I have received from the U. S. Air Force Palace Knight Program. iii TABLE OF CONTENTS DEDICATION : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : ii ACKNOWLEDGEMENTS : : ..."
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Cited by 9 (0 self)
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b Lowrie for providing many good discussions. Finally, I would like to acknowledge the financial support that I have received from the U. S. Air Force Palace Knight Program. iii TABLE OF CONTENTS DEDICATION : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : ii ACKNOWLEDGEMENTS : : : : : : : : : : : : : : : : : : : : : : : : : : iii LIST OF FIGURES : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : vii LIST OF TABLES : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : xii LIST OF APPENDICES : : : : : : : : : : : : : : : : : : : : : : : : : : : : xiii CHAPTER I. INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 II. HISTORICAL BACKGROUND . . . . . . . . . . . . . . . . . . 12 III. ELEMENTS OF KINETIC THEORY . . . . . . . . . . . . . . 16 3.1 The Boltzmann Equation . . . . . . . . . . . . . .
Hybrid lowdiffusion approximate Riemann solvers for Reynoldsstress transport
"... The paper investigates the use of lowdiffusion (contactdiscontinuityresolving [Liou M.S.: J. Comp. Phys. 160 (2000) 623–648]) approximate Riemann solvers for the convective part of the Reynoldsaveraged NavierStokes (RANS) equations with Reynoldsstress model (RSM) closure. Different equivalent ..."
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The paper investigates the use of lowdiffusion (contactdiscontinuityresolving [Liou M.S.: J. Comp. Phys. 160 (2000) 623–648]) approximate Riemann solvers for the convective part of the Reynoldsaveraged NavierStokes (RANS) equations with Reynoldsstress model (RSM) closure. Different equivalent
A simple parameterfree entropy correction for approximate Riemann solvers
, 2010
"... Reçu le **** * ; accepté après révision le +++++ Présenté par £££££ We present here a simple and general nonparametrized entropyfix for the computation of fluid flows involving sonic points in rarefaction waves. It enables to improve the stability and the accuracy of approximate Riemann solvers. I ..."
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Cited by 5 (0 self)
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Reçu le **** * ; accepté après révision le +++++ Présenté par £££££ We present here a simple and general nonparametrized entropyfix for the computation of fluid flows involving sonic points in rarefaction waves. It enables to improve the stability and the accuracy of approximate Riemann solvers
Relaxation of energy and approximate Riemann solvers for general pressure laws in dynamics
 SIAM J. Num. Anal
, 1998
"... Abstract. We consider the Euler equations for a compressible inviscid fluid with a general pressure law p(ρ, ε), where ρ represents the density of the fluid and ε its specific internal energy. We show that it is possible to introduce a relaxation of the nonlinear pressure law introducing an energy d ..."
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Cited by 64 (7 self)
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show that, under some conditions of subcharacteristic type, for any convex entropy associated with the pressure p, we can find a global convex and uniform entropy for the relaxation system. From our construction, we also deduce the extension to general pressure laws of classical approximate Riemann
A MULTIWAVE APPROXIMATE RIEMANN SOLVER FOR IDEAL MHD BASED ON RELAXATION II NUMERICAL IMPLEMENTATION WITH 3 AND 5 WAVES
"... Abstract. In the first part of this work ([5]), we introduced an approximate Riemann solver for onedimensional ideal MHD derived from a relaxation system. We gave sufficient conditions for the solver to satisfy discrete entropy inequalities, and to preserve positivity of density and internal energy ..."
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Cited by 14 (5 self)
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Abstract. In the first part of this work ([5]), we introduced an approximate Riemann solver for onedimensional ideal MHD derived from a relaxation system. We gave sufficient conditions for the solver to satisfy discrete entropy inequalities, and to preserve positivity of density and internal
Results 1  10
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182,531