Simulating Multiphase Flows in Porous Media with High Order CE/SE Method

In this paper, an updated CE/SE (space-time conservation element and solution element) scheme with second order accuracy is constructed on hexahedral grids and is extended to solve multiphase flows in porous media. The hybrid particle level set method is modified and applied for tracing the interfaces of fluids. Three benchmark problems are simulated numerically and the computational results are carefully compared with the results from other literature. Based on the single phase lid-driven cavity problem, the model of dual layer lid-driven cavity flow in porous media is also proposed as a benchmark problem. Results demonstrate that the computational scheme developed currently is high accurate, reliable and efficient for the porous multiphase flow problems considered.