Numerical modelling of three-phase immiscible flow in heterogeneous porous media with gravitational effects

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

Bram van Leer · Journal of Computational Physics · 1979 · 7K citations

Natural Sciences, Computational Engineering, Mathematics +11

On the Construction and Comparison of Difference Schemes

Gilbert Strang · SIAM Journal on Numerical Analysis · 1968 · 3.5K citations

Natural Sciences, Mathematics, Computational Mechanics +16

Mechanism of Fluid Displacement in Sands

Stuart E. Buckley, M.C. Leverett · Transactions of the AIME · 1942 · 2K citations · Full text

Engineering, Earth Sciences, Petroleum Engineering +16

Non-oscillatory central differencing for hyperbolic conservation laws

Haim Nessyahu, Eitan Tadmor · Journal of Computational Physics · 1990 · 1.2K citations · Full text

Natural Sciences, Mathematics, Physics +12

Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations

Alexander Kurganov, Sebastian Noelle, Guergana Petrova · SIAM Journal on Scientific Computing · 2001 · 1K citations

Natural Sciences, Mathematics, Physics +17