High-Order Fluxes for Conservative Skew-Symmetric-like Schemes in Structured Meshes: Application to Compressible Flows

Compact finite difference schemes with spectral-like resolution

Sanjiva K. Lele · Journal of Computational Physics · 1992 · 6.1K citations

Computing, Computational Engineering, Computer Science +12

The Piecewise Parabolic Method (PPM) for gas-dynamical simulations

Phillip Colella, Paul R. Woodward · Journal of Computational Physics · 1984 · 4K citations

Natural Sciences, Computational Engineering, Physics +8

Systems of conservation laws

Peter D. Lax, Burton Wendroff · Communications on Pure and Applied Mathematics · 1960 · 2.6K citations

Natural Sciences, Physics, Conservation Theory +7

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

Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. Part I

Akio Arakawa · Journal of Computational Physics · 1966 · 1.3K citations

Natural Sciences, Mechanical Engineering, Physics +14