Zhilin Li, Sharon R. Lubkin, Xiaohai Wan
Abstract:
A finite difference 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 efficient. Numerical examples
including two moving interface problems are presented.
Published February 28, 2007.
Math Subject Classifications: 65M06, 65M12, 76T05.
Key Words: Incompressible Stokes equations; discontinuous viscosity;
interface problem; immersed interface method; level set method;
fast Poisson solver, GMRES.
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Zhilin Li Center for Research in Scientific Computation & Department of Mathematics North Carolina State University Raleigh, NC 27695-8205, USA email: zhilin@math.ncsu.edu |
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Sharon R. Lubkin Center for Research in Scientific Computation & Department of Mathematics North Carolina State University Raleigh, NC 27695-8205, USA email: lubkin@math.ncsu.edu |
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Xiaohai Wan Biomathematics Graduate Program & Department of Mathematics North Carolina State University Raleigh, NC 27695-8203, USA email: xwan@unity.ncsu.edu |
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