A front-tracking/ghost-fluid method for fluid interfaces in compressible flows

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

Stanley Osher, James A. Sethian · Journal of Computational Physics · 1988 · 13.7K citations

Numerical Analysis, Geometric Modeling, Machine Vision +12

<i>Hydrodynamic and Hydromagnetic Stability</i>

S. Chandrasekhar, J. Gillis · Physics Today · 1962 · 10.3K citations

Engineering, Physics, Hydrodynamics +5

Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method

Bram van Leer · Journal of Computational Physics · 1979 · 6.9K citations

Mathematical Programming, Numerical Analysis, Numerical Computation +7

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

Numerical Analysis, Numerical Method For Partial Differential Equation, Compressible Flow +11

A fast marching level set method for monotonically advancing fronts.

James A. Sethian · Proceedings of the National Academy of Sciences · 1996 · 3.1K citations · Full text

Geometric Modeling, Numerical Analysis, Fast Marching Level +15