Errors in the upstream mobility scheme for countercurrent two-phase flow in heterogeneous porous media

Hydraulic properties of porous media

R. H. Brooks, A. T. Corey · Digital Collections of Colorado (Colorado State University) · 1963 · 5.4K citations

Engineering, Civil Engineering, Earth Sciences +14

FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

S N Kružkov · Mathematics of the USSR-Sbornik · 1970 · 1.8K citations

Natural Sciences, Mathematics, Differential Equations +6

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

One-sided difference approximations for nonlinear conservation laws

Björn Engquist, Stanley Osher · Mathematics of Computation · 1981 · 348 citations · Full text

Natural Sciences, Mathematics, Physics +17

Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function

Tore Gimse, Nils Henrik Risebro · SIAM Journal on Mathematical Analysis · 1992 · 172 citations · Full text

Natural Sciences, Petroleum Engineering, Computational Fluid Dynamics +12