Numerical Simulation Of Incompressible Multi-medium Flow Problem

In this work,the semi-Lagrangian method is extended to the simulation of incompressible multi-medium flow on MAC staggered grid method.The corrected BFECC(back and forth error compensation and correction)method is employed to improve the accuracy of the semi-Lagrangian method.We track the fluid interface by solving the level set equation,and the NGFM is used to define the fluid interface condition such that the calculation can be carried out the same as that in the single medium flow.Several classic examples are simulated to test the algorithm given in this work.The numerical results show that the given algorithm can track the interface accurately and capture the physical details of the multi-medium flow.