Hybrid upwind discretization of nonlinear two-phase flow with gravity

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

Monotone difference approximations for scalar conservation laws

Michael G. Crandall, Andrew J. Majda · Mathematics of Computation · 1980 · 442 citations

Natural Sciences, Mathematics, Physics +17

On convergence of monotone finite difference schemes with variable spatial differencing

Richard Sanders · Mathematics of Computation · 1983 · 150 citations · Full text

Computing, Computational Engineering, Computational Fluid Dynamics +16

Godunov-Type Methods for Conservation Laws with a Flux Function Discontinuous in Space

Adimurthi, Jérôme Jaffré, G. D. Veerappa Gowda · SIAM Journal on Numerical Analysis · 2004 · 124 citations

Natural Sciences, Computational Engineering, Physics +16

Upstream Differencing for Multiphase Flow in Reservoir Simulation

Yann Brenier, Jérôme Jaffré · SIAM Journal on Numerical Analysis · 1991 · 119 citations · Full text

Engineering, Computational Engineering, Petroleum Engineering +15