An upwind finite difference scheme for meshless solvers

Approximate Riemann solvers, parameter vectors, and difference schemes

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

Natural Sciences, Mathematics, Physics +15

Reproducing kernel particle methods

Wing Kam Liu, Sukky Jun, Yi Fei Zhang · International Journal for Numerical Methods in Fluids · 1995 · 2.8K citations

Engineering, Computational 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

A New Flux Splitting Scheme

Meng‐Sing Liou, Christopher J. Steffen · Journal of Computational Physics · 1993 · 1.4K citations

Natural Sciences, Physics, Computational Fluid Dynamics +2

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