VIP (Vector Image Polygon) multi-dimensional slope limiters for scalar variables

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

The design and application of upwind schemes on unstructured meshes

Timothy J. Barth, Dennis C. Jespersen · 27th Aerospace Sciences Meeting · 1989 · 2.2K citations

Computing, Computational Engineering, Mathematics +10

Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux

W. F. Noh · Journal of Computational Physics · 1987 · 567 citations

Natural Sciences, Mathematics, Physics +14

The Construction of Compatible Hydrodynamics Algorithms Utilizing Conservation of Total Energy

E.J. Caramana, Donald E. Burton, Mikhail Shashkov et al. · Journal of Computational Physics · 1998 · 422 citations

Engineering, Mechanical Engineering, Physics +12

Formulations of Artificial Viscosity for Multi-dimensional Shock Wave Computations

E.J. Caramana, Mikhail Shashkov, P.P. Whalen · Journal of Computational Physics · 1998 · 285 citations

Engineering, Computational Engineering, Physics +14