Numerical Simulation Method For Compressible Multi-media Flow Based Upon Adaptive Mesh Refinement

In the simulation of the multi-medium flow, the Ghost Fluid Method (GFM) has been shown to be a simple interface treating method. In GFM, the states at the ghost nodes are defined for each medium so as to the multi-medium flow can be computed as single medium flow. However, the GFM is not conservative and the computing results depend on the mesh. If the mesh is refined in the whole computational domain the computing cost is not efficient. In this paper a numerical algorithm is presented to simulate the multi-medium flow by coupling the GFM and the AMR technique. In this algorithm, the mesh is refined adaptively in the local domain where large gradient of the physical variables occur, we can carry out the computing on the adaptive mesh. The medium interface is tracked by solving the level set equation. By refining the mesh locally we can capture the interface and the other discontinuities accurately, improve accuracy of numerical solution and reduce the CPU time. The numerical tests for one- and two-dimensional cases show that the algorithm is of capability and efficiency.