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An augmented IIM-level set method for Stokes equations with discontinuous viscosity. (English) Zbl 1109.76040

Summary: A finite difference method is proposed for incompressible Stokes equations with discontinuous viscosity. The method combines the augmented immersed interface method (IIM) 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 are solved by the GMRES iterative method. The augmented approach allows fast Poisson solvers to be used, and therefore is very efficient. Numerical examples including two moving interface problems are presented.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D07 Stokes and related (Oseen, etc.) flows
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