Research On Analysis And Application Of Topological Structures Of The Interface Instability For Multi-component Fluids

Recently the interface instabilities have atracted the atention 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. Althought can bring images of interface movement for accurate result ,the method can only deal with the simple physical conditions. For example, the software FronTier in existence can only calculate the problems with partial interface between two liquids.In order to extend area of the method's application, in this paper, we study the problems with partial interface between multi-liquids(more the two).Because the problem is so difficult, in this paper, we only study some base problems in it .First of all, we finish the work for interface's sorts in topology for two-dimensional and three- dimensional, and get the interface's sorts in topology for two liquids and four liquids in two-dimensional and three liquids in three-dimensional. Afterward, we finish the analyse in the movement of multi-liquids and finish the programme on the geometry. We also use closed loops to describe the moving interface accurately ,and offer the mode which can deal with the state of intersection ,separation, amalgamation of the interface. It can be applied successfully to computing the rational location of the interface, which set up a good foundation to farther developments .We also partially achieve the problem on the condition of three-dimensional ,and finish the program of creating and optimizing closed face.