A simple implementation of the immersed interface methods for Stokes flows with singular forces

Ming-Chih Lai*, Hsiao Chieh Tseng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

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.

Original languageEnglish
Pages (from-to)99-106
Number of pages8
JournalComputers and Fluids
Volume37
Issue number2
DOIs
StatePublished - 1 Feb 2008

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