Research On Front Tracking Method For Moving Interface Problems And Parallel Implement

Recently the interface problems have attracted the attention of many researchers for their roles in the controlled nuclear fusion with inertial confinement, electromagnetic, implosion and the evolution of an astrophysical object such as the formation of a supernova. In the studies of the interface problems, the most important thing is to describe the moving interface accurately. For this reason, Front Tracking method has gained sufficient development. Because this method based upon the physical resolutions of the mathematical equations, it can capture the developments of the interfaces accurately and avoid the non-physical phenomenon. The software FronTier in existence is a code built by J. Glimm and his colleagues according to this method, and it can calculate the interface instability problems with simple interface. In this paper, after studying the interface problems with complicated interfaces and the Front Tracking method, we initialization part of FronTier code and append many new functions and variables in this code. The new code version can be applied successfully to complicated interface problems of collision, which set up a good foundation to farther developments. FronTier can work parallel computation in my cluster effectively.