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Keyword

Riemann problem

Description: An initial-value problem for a differential equation or system, specified by piecewise constant data separated by a discontinuity.
Wikidata ID: wiki/Q2152221
OpenAlex ID: keywords/riemann-problem
Approximate Riemann solvers, parameter vectors, and difference schemes
1981 · P.L Roe · Journal of Computational Physics · 9,269
Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
1997 · P.L. Roe · Journal of Computational Physics · 6,277
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
1983 · Amiram Harten, Peter D. Lax, et al. · SIAM Review · 3,454
The numerical simulation of two-dimensional fluid flow with strong shocks
1984 · Paul Woodward, Phillip Colella · Journal of Computational Physics · 2,929
Hyperbolic systems of conservation laws II
1957 · P. D. Lax · Communications on Pure and Applied Mathematics · 2,850
A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier–Stokes Equations
1997 · F. Bassi, S. Rebay · Journal of Computational Physics · 1,837
Physics-informed neural networks for high-speed flows
2019 · Zhiping Mao, Ameya D. Jagtap, et al. · Computer Methods in Applied Mechanics and Engineering · 1,289
Multidimensional upwind methods for hyperbolic conservation laws
1990 · Phillip Colella · Journal of Computational Physics · 845
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Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propagation Algorithm
1998 · Randall J. LeVeque · Journal of Computational Physics · 816
High-Order Accurate Discontinuous Finite Element Solution of the 2D Euler Equations
1997 · F. Bassi, S. Rebay · Journal of Computational Physics · 771
The Riemann problem for fluid flow of real materials
1989 · Ralph Menikoff, Bradley J. Plohr · Reviews of Modern Physics · 698
Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
1998 · Peter D. Lax, Xu-Dong Liu · SIAM Journal on Scientific Computing · 612
Hyperbolic systems of conservation laws
2006 · Lax, Peter · Courant lecture notes in mathematics · 608
High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
2010 · Marcos Castro, Bruno Costa, et al. · Journal of Computational Physics · 585
A flux splitting scheme with high-resolution and robustness for discontinuities
1994 · Yasuhiro Wada, Meng-Sing Liou · 32nd Aerospace Sciences Meeting and Exhibit · 569
Efficient solution algorithms for the Riemann problem for real gases
1985 · Phillip Colella, Harland M Glaz · Journal of Computational Physics · 544
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Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures
2008 · Richard Saurel, Fabien Petitpas, et al. · Journal of Computational Physics · 510
Riemann Solvers, the Entropy Condition, and Difference
1984 · Stanley Osher · SIAM Journal on Numerical Analysis · 470
Hyperbolic Systems of Conservation Laws
2002 · Philippe G. LeFloch · Birkhäuser Basel eBooks · 458
Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
1993 · Carsten W. Schulz-Rinne, James P. Collins, et al. · SIAM Journal on Scientific Computing · 445
Random choice solution of hyperbolic systems
1976 · Alexandre Joel Chorin · Journal of Computational Physics · 407
Differential Equations for Quantum Correlation Functions
1990 · A.R. Its, A.G. Izergin, et al. · International Journal of Modern Physics B · 387
The Godunov Scheme and What It Means for First Order Traffic Flow Models
1996 · Jean‐Patrick Lebacque · 386
Kinetic relations and the propagation of phase boundaries in solids
1991 · Rohan Abeyaratne, James K. Knowles · Archive for Rational Mechanics and Analysis · 381
A Direct Eulerian MUSCL Scheme for Gas Dynamics
1985 · Phillip Colella · SIAM Journal on Scientific and Statistical Computing · 381
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Works count: 4,158
Citation count: 94,620
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