Riemann solvers for phase transition in a compressible sharp-interface method

A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow

Mark Sussman, Peter Smereka, Stanley Osher · Journal of Computational Physics · 1994 · 4.7K citations

Natural Sciences, Mechanical Engineering, Physics +10

On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws

Amiram Harten, Peter D. Lax, Bram van Leer · SIAM Review · 1983 · 3.3K citations

Natural Sciences, Mechanical Engineering, Physics +12

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

Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics

I.O. Bohachevsky · INRIA a CCSD electronic archive server · 1959 · 1.8K citations · Full text

Natural Sciences, Mathematics, Physics +16