A simple implementation of the immersed interface methods for Stokes flows with singular forces
نویسندگان
چکیده
In this paper, we introduce a simple version of the immersed interface method (IIM) for Stokes flows with singular forces along an interface. The numerical method is based on applying the Taylor’s expansions along the normal direction and incorporating the solution and its normal derivative jumps into the finite difference approximations. The fluid variables are solved in a staggered grid, and a new accurate interpolating scheme for the non-smooth velocity has been developed. The numerical results show that the scheme is secondorder accurate. 2007 Elsevier Ltd. All rights reserved.
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A Simple Immersed Interface Method for the Stokes Flow with Singular Forces
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تاریخ انتشار 2007