A Hybrid Method for Moving Interface Problems with Application to the Hele-shaw Flow
نویسنده
چکیده
In this paper, a hybrid approach which combines the immersed interface method with the level set approach is presented. The fast version of the immersed interface method Li, 1995], is used to solve the diierential equations whose solutions and their derivatives may be discontinuous across the interfaces due to the discontinuity of the coeecients or/and singular sources along the interfaces. The moving interfaces then are updated using the newly developed fast level set formulation which involves computation only inside some small tubes containing the interfaces. This method combines the advantages of the two approaches, and gives a second order Eulerian discretization for interface problems. Several key steps in the implementation are addressed in detail. This new approach is then applied to Hele-Shaw ow, an unstable ow involving two uids with very diierent viscosity.
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تاریخ انتشار 1997