A stable 2D unstructured shallow flow model for simulations of wetting and drying over rough terrains

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

Bram van Leer · Journal of Computational Physics · 1979 · 7K citations

Natural Sciences, Computational Engineering, Mathematics +11

Restoration of the contact surface in the HLL-Riemann solver

Eleuterio F. Toro, M. Spruce, W. Speares · Shock Waves · 1994 · 2.4K citations

Engineering, Computational Engineering, Mathematics +10

Upwind methods for hyperbolic conservation laws with source terms

Alfredo Bermúdez, Ma Elena Vazquez · Computers & Fluids · 1994 · 1K citations

Natural Sciences, Physics, Computational Fluid Dynamics +12

A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

Emmanuel Audusse, François Bouchut, Marie-Odile Bristeau et al. · SIAM Journal on Scientific Computing · 2004 · 981 citations

Natural Sciences, Earth Sciences, Oceanography +17

Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters

V. N. Venkatakrishnan · Journal of Computational Physics · 1995 · 969 citations

Natural Sciences, Mathematics, Physics +16