Boundary Element Method Applied to Some Multiphase Flows

Abstract

Multiphase flows are one of the most difficult and complex problems of modern hydrodynamics. Complexity of such flows is a result of hydrodynamic interaction between small objects of second phase (and possible third) with main phase and among them. There are two well-known kinds of flows from the point of view of hydrodynamic interaction: the first one is a flow with one or several large objects, which determine the flow scale, and the second one is a flow with a lot of small objects of second phase. The first kind of problems is successfully solvable by traditional numerical methods. The second kind of problems is well investigated in asymptotic approximation, assuming that the second phase objects are asymptotically small and they creates a continuous phase. A lot of problems with non-asymptotically small second phase remain outside two mentioned cases, as a result, they are investigated not so good as mentioned problems.