Two-dimensional scour simulations based on coupled model of shallow water equations and sediment transport on unstructured meshes

Approximate Riemann solvers, parameter vectors, and difference schemes

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

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Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes

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

Natural Sciences, Mathematics, Physics +15

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

Characteristic-Based Schemes for the Euler Equations

Philip L. Roe · Annual Review of Fluid Mechanics · 1986 · 1.8K citations

Natural Sciences, Mathematics, Physics +12

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