Krylov--Riemann Solver for Large Hyperbolic Systems of Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/110840832 ◽

2012 ◽

Vol 34 (4) ◽

pp. A2072-A2091 ◽

Author(s):

Manuel Torrilhon

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Riemann Solver ◽

Systems Of Conservation Laws

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A Hybrid Riemann Solver for Large Hyperbolic Systems of Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/16m108567x ◽

2017 ◽

Vol 39 (6) ◽

pp. A2911-A2934 ◽

Author(s):

Birte Schmidtmann ◽

Manuel Torrilhon

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Riemann Solver ◽

Systems Of Conservation Laws

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A simple two-dimensional extension of the HLL Riemann solver for hyperbolic systems of conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2014.10.013 ◽

2015 ◽

Vol 280 ◽

pp. 643-675 ◽

Author(s):

Jeaniffer Vides ◽

Boniface Nkonga ◽

Edouard Audit

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Riemann Solver ◽

Two Dimensional ◽

Systems Of Conservation Laws

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A general approximate-state Riemann solver for hyperbolic systems of conservation laws with source terms

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1374 ◽

2007 ◽

Vol 53 (9) ◽

pp. 1509-1540 ◽

Author(s):

Julien Lhomme ◽

Vincent Guinot

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Riemann Solver ◽

Source Terms ◽

Systems Of Conservation Laws

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An approximate two-dimensional Riemann solver for hyperbolic systems of conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2004.11.006 ◽

2005 ◽

Vol 205 (1) ◽

pp. 292-314 ◽

Author(s):

Vincent Guinot

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Riemann Solver ◽

Two Dimensional ◽

Systems Of Conservation Laws

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A Simple Riemann Solver and High-Order Godunov Schemes for Hyperbolic Systems of Conservation Laws

Journal of Computational Physics ◽

10.1006/jcph.1995.1178 ◽

1995 ◽

Vol 121 (1) ◽

pp. 51-65 ◽

Author(s):

Wenlong Dai ◽

Paul R. Woodward

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Riemann Solver ◽

Systems Of Conservation Laws

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On the uniqueness of solutions to hyperbolic systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2021.04.034 ◽

2021 ◽

Vol 291 ◽

pp. 110-153

Author(s):

Shyam Sundar Ghoshal ◽

Animesh Jana ◽

Konstantinos Koumatos

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Uniqueness Of Solutions ◽

Systems Of Conservation Laws

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Variational Formulation of the Problem of Finding Generalized Solutions for Quasilinear Hyperbolic Systems of Conservation Laws

Mathematical Notes ◽

10.1134/s0001434621110365 ◽

2021 ◽

Vol 110 (5-6) ◽

pp. 972-975

Author(s):

Yu. G. Rykov

Keyword(s):

Conservation Laws ◽

Variational Formulation ◽

Hyperbolic Systems ◽

Generalized Solutions ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Conservation Laws

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Upwind finite volume solution of sensitivity equations for hyperbolic systems of conservation laws with discontinuous solutions

Computers & Fluids ◽

10.1016/j.compfluid.2009.03.002 ◽

2009 ◽

Vol 38 (9) ◽

pp. 1697-1709 ◽

Author(s):

V. Guinot

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Sensitivity Equations ◽

Systems Of Conservation Laws

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An Easy Control of the Artificial Numerical Viscosity to Get Discrete Entropy Inequalities When Approximating Hyperbolic Systems of Conservation Laws

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy ◽

10.1007/978-3-030-38870-6_5 ◽

2020 ◽

pp. 29-36

Author(s):

Christophe Berthon ◽

Arnaud Duran ◽

Khaled Saleh

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Numerical Viscosity ◽

Systems Of Conservation Laws ◽

Entropy Inequalities

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Global solutions of hyperbolic systems of conservation laws in two dependent variables

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1968-12082-8 ◽

1968 ◽

Vol 74 (5) ◽

pp. 915-919 ◽

Author(s):

J. L. Johnson ◽

J. A. Smoller

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Global Solutions ◽

Dependent Variables ◽

Systems Of Conservation Laws

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