AN AUGMENTED IIM-LEVEL SET METHOD FOR STOKES EQUATIONS WITH DISCONTINUOUS VISCOSITY

A finite dierence method is proposed for incompressible Stokes equations with discontinuous viscosity. The method combines the augmented immersed interface method with a level set representation of the interface on a uniform Cartesian grid. In the proposed method, augmented interface variables are introduced along the interface and be solved by the GMRES iterative method. The augmented approach allows fast Poisson solvers to be used and therefore is very ecient. Numerical examples including two moving interface problems are presented. In this paper, we present a numerical method for solving the stationary in- compressible Stokes equations for two-phase Newtonian flows with an arbitrary interface. The governing equations have the following form rp = r · µ ru + (ru)T + F(x) + g(x),