Keyword

shock capturing

Description: Shock capturing is a numerical method in computational fluid dynamics for resolving shock waves and other sharp discontinuities in simulated flows.

Primary topic: Computational Fluid Dynamics and Aerodynamics (81%)

Wikidata ID: wiki/Q7499862

OpenAlex ID: keywords/shock-capturing

Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method

1979 · Bram van Leer · Journal of Computational Physics · 7,146

Finite Volume Methods for Hyperbolic Problems

2002 · Randall J. LeVeque · Cambridge University Press eBooks · 6,345

Uniformly high order accurate essentially non-oscillatory schemes, III

1987 · Ami Harten, Bjorn Engquist, et al. · Journal of Computational Physics · 3,018

The numerical simulation of two-dimensional fluid flow with strong shocks

1984 · Paul Woodward, Phillip Colella · Journal of Computational Physics · 2,929

Systems of conservation laws

1960 · Peter Lax, Burton Wendroff · Communications on Pure and Applied Mathematics · 2,651

E pur si muove: Galilean-invariant cosmological hydrodynamical simulations on a moving mesh

2009 · Volker Springel · Monthly Notices of the Royal Astronomical Society · 2,427

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Riemann Solvers and Numerical Methods for Fluid Dynamics

2009 · Eleuterio F. Toro · Springer eBooks · 2,267

A Method for the Numerical Calculation of Hydrodynamic Shocks

1950 · J. VonNeumann, R. D. Richtmyer · Journal of Applied Physics · 2,194

Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme

1974 · Bram van Leer · Journal of Computational Physics · 2,188

Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws

1998 · Chi-Wang Shu · Lecture notes in mathematics · 1,994

Finite Element Methods for Flow Problems

2003 · Jean Donea, Antonio Huerta · Wiley eBooks · 1,540

An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws

2008 · Rafael Borges, Monique Carmona, et al. · Journal of Computational Physics · 1,499

Towards the Ultimate Conservative Difference Scheme

1997 · Bram van Leer · Journal of Computational Physics · 1,317

Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy

2000 · Dinshaw S. Balsara, Chi-Wang Shu · Journal of Computational Physics · 1,316

Shock-Capturing Methods for Free-Surface Shallow Flows

2001 · Eleuterio F. Toro · Institutional Research Information System (Università degli Studi di Trento) · 1,219

A new class of accurate, mesh-free hydrodynamic simulation methods

2015 · Philip F. Hopkins · Monthly Notices of the Royal Astronomical Society · 1,146

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Uniformly High-Order Accurate Nonoscillatory Schemes. I

1987 · Ami Harten, Stanley Osher · SIAM Journal on Numerical Analysis · 1,009

Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points

2005 · Andrew K. Henrick, Tariq D. Aslam, et al. · Journal of Computational Physics · 1,003

Comparison of finite volume flux vector splittings for the Euler equations

1986 · W. Kyle Anderson, James L. Thomas, et al. · AIAA Journal · 839

Weighted Essentially Non-oscillatory Schemes on Triangular Meshes

1999 · Changqing Hu, Chi-Wang Shu · Journal of Computational Physics · 825

Relativistic Hydrodynamics

2013 · Luciano Rezzolla, Olindo Zanotti · 814

Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws

1982 · Stanley Osher, Fred Solomon · Mathematics of Computation · 812

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Large-Eddy Simulation of the Shock/Turbulence Interaction

1999 · F Ducros, V Ferrand, et al. · Journal of Computational Physics · 804

A contribution to the great Riemann solver debate

1994 · James J. Quirk · International Journal for Numerical Methods in Fluids · 785

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Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux

1987 · W.F Noh · Journal of Computational Physics · 587

Works count: 6,179

Citation count: 140,100