Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 197, Issue 25-28, Pages 2049-2067Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2007.05.028
Keywords
immersed boundary method; fluid-structure interaction; implicit method; boundary with mass
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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. (C) 2007 Elsevier B.V. All rights reserved.
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