A simple implementation of the immersed interface methods for Stokes flows with singular forces |
| |
Authors: | Ming-Chih Lai Hsiao-Chieh Tseng |
| |
Affiliation: | Department of Applied Mathematics, National Chiao Tung University, 1001, Ta Hsueh Road, Hsinchu 300, Taiwan |
| |
Abstract: | 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 second-order accurate. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|