Front Tracking Method For Complicated Interface Problems

Recently the interface instabilities have attracted the attention of many researchers. In the studies of the interface instabilities, 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 instability problems with complicated interfaces and the Front Tracking method, we rewrite the I/O files and 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, which set up a good foundation to farther developments.