High resolution schemes for hyperbolic conservation laws

Approximate Riemann solvers, parameter vectors, and difference schemes

Philip L. Roe · Journal of Computational Physics · 1981 · 9.1K citations

Natural Sciences, Mathematics, Physics +15

On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws

Amiram Harten, Peter D. Lax, Bram van Leer · SIAM Review · 1983 · 3.3K citations

Natural Sciences, Mechanical Engineering, Physics +12

A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws

Gary A. Sod · Journal of Computational Physics · 1978 · 2.6K citations · Full text

Natural Sciences, Mathematics, Physics +14

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

Bram van Leer · Journal of Computational Physics · 1974 · 2.2K citations

Natural Sciences, Computational Engineering, Mathematics +14

Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works

Jay P. Boris, David Book · Journal of Computational Physics · 1973 · 2.1K citations

Engineering, Earth Sciences, Computational Fluid Dynamics +8