Implicit second-order immersed boundary methods with boundary mass

Yoichiro Mori, Charles S. Peskin

Research output: Contribution to journalArticlepeer-review

103 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

Bibliographical note

Funding Information:
The authors would like to thank Aaron Fogelson, Luca Heltai, Elijah Newren and Xiaodong Wang for helpful discussion. Y.M. was supported by the Henry McCracken fellowship of New York University during the course of this work.

Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.

Keywords

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

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