Multi-Point Flux MFE Decoupled Method for Compressible Miscible Displacement Problem

In this paper, a multi-point flux mixed-finite-element decoupled method was considered for the compressible miscible displacement problem. For problem, fully discrete backward Euler scheme proposed, in which velocity and pressure equations were by MFE using BDM1 elements combined with trapezoidal quadrature rule. The concentration equation handled standard FE method. error analysis velocity, pressure, rigorously derived. Numerical experiments to verify convergence rates simulate problem of water–oil system presented.