Department Colloquium
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Speaker:
Zhilin Li Center For Research in Scientific Computation & Mathematics North Carolina State University Time and Place: Friday, October 17 at 2:30 pm, Allen 14 Title: "A Free Boundary Problem with Triple Junctions and the Augmented Immersed Interface Method" Abstract: The motion of a drop on a solid surface has been a subject of extensive research. The full model is a Navier Stokes equations for the fluid, and the Navier boundary condition at the contact line between the fluid and the solid. Often the model is a two-phase flow with a moving contact line and triple junctions. Under some circumstances, the one-phase model may be more appropriate so that the problem can be solved more efficiently. In this talk, I will first introduce the model, and then introduce the augmented immersed interface method for the problem. In this approach, we introduce augmented variables so that (1), we can get an efficient discretization; (2) fast solvers on regular domains can be utilized. This new augmented immersed interface method has been applied to a number of problems for Stokes and Navier Stokes flows, problems on irregular domains. Numerical example will also be presented. Reception: 3:30, Allen 467 Host: Ratnasingham Shivaji , (662) 325-7136, shivaji@math.msstate.edu |