Implicit second-order immersed boundary methods with boundary mass

Yoichiro Mori, Charles S. Peskin

Research output: Contribution to journalArticle

97 Scopus citations

Abstract

The immersed boundary method is a computational framework for problems involving the interaction of a fluid and immersed elastic structures. Immersed boundary computations typically evaluate the elastic forces explicitly in the configuration of the immersed elastic structure. In many applications this results in a severe restriction on the time step. We present a semi-implicit and a fully implicit second-order accurate immersed boundary method. The methods provide a natural way to handle mass on the immersed elastic structures. We demonstrate their performance for a prototypical fluid-structure interaction problem. The methods are shown to possess superior stability properties that significantly alleviate the typically severe time step restriction of explicit computations.

Original languageEnglish (US)
Pages (from-to)2049-2067
Number of pages19
JournalComputer Methods in Applied Mechanics and Engineering
Volume197
Issue number25-28
DOIs
StatePublished - Apr 15 2008

Keywords

  • Boundary with mass
  • Fluid-structure interaction
  • Immersed boundary method
  • Implicit method

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