An interface capturing method for the simulation of multi-phase compressible flows

High resolution schemes for hyperbolic conservation laws

Ami Harten · Journal of Computational Physics · 1983 · 4.1K citations · Full text

Natural Sciences, Mathematics, Physics +14

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

Total variation diminishing Runge-Kutta schemes

Sigal Gottlieb, Chi‐Wang Shu · Mathematics of Computation · 1998 · 2.5K citations · Full text

Natural Sciences, Computational Engineering, Physics +17

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

A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method)

Ronald Fedkiw, Tariq D. Aslam, Barry Merriman et al. · Journal of Computational Physics · 1999 · 1.9K citations

Engineering, Mechanical Engineering, Physics +13