A semi-discrete central scheme for the approximation of two-phase flows in three space dimensions

作者：Pereira F^*; Rahunanthan A

来源：Mathematics and Computers in Simulation, 2011, 81(10): 2296-2306.

DOI：10.1016/j.matcom.2011.01.012

• Hyperbolic conservation laws
• Central schemes
• Two-phase flows

We present a new second-order (in space), semi-discrete, central scheme for the approximation of hyperbolic conservation laws in three space dimensions. The proposed scheme is applied to a model for two-phase, immiscible and incompressible displacement in heterogeneous porous media. Numerical simulations are presented to demonstrate its ability to approximate solutions of hyperbolic equations efficiently and accurately in petroleum reservoir simulations.

• 出版日期2011-6