Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation

Approximate Riemann solvers, parameter vectors, and difference schemes

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

Natural Sciences, Mathematics, Physics +15

Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes

Philip L. Roe · Journal of Computational Physics · 1997 · 6.3K 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

High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws

P. K. Sweby · SIAM Journal on Numerical Analysis · 1984 · 2.7K citations

Natural Sciences, Computational Engineering, Physics +10

Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics

I.O. Bohachevsky · INRIA a CCSD electronic archive server · 1959 · 1.8K citations · Full text

Natural Sciences, Mathematics, Physics +16