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Efficient implementation of essentially non-oscillatory shock-capturing schemes, II

Journal of Computational Physics · 1989 · Vol. 83(1) · pp. 32–78

Chi‐Wang Shu✉(Brown University)Stanley Osher(University of California, Los Angeles)

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Computational Fluid Dynamics and Aerodynamics Gas Dynamics and Kinetic Theory Fluid Dynamics and Turbulent FlowsClassification of discontinuitiesShock (circulatory)Applied mathematicsNonlinear systemMathematicsSharpeningCompressible flowFlow (mathematics)Flux limiterCompressibility

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References

High resolution schemes for hyperbolic conservation laws

Journal of Computational Physics · 1983 · 4,111 citations

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

Journal of Computational Physics · 1984 · 2,820 citations

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

Journal of Computational Physics · 1974 · 2,142 citations

Uniformly high order accurate essentially non-oscillatory schemes, III

Journal of Computational Physics · 1987 · 2,948 citations

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

Journal of Computational Physics · 1979 · 6,931 citations

Numerical Initial Value Problems in Ordinary Differential Equations

Mathematics of Computation · 1973 · 3,950 citations

Efficient implementation of essentially non-oscillatory shock-capturing schemes

Journal of Computational Physics · 1988 · 4,649 citations

Approximate Riemann solvers, parameter vectors, and difference schemes

Journal of Computational Physics · 1981 · 8,995 citations

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