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 language | English (US) |
|---|---|
| Pages (from-to) | 2049-2067 |
| Number of pages | 19 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 197 |
| Issue number | 25-28 |
| DOIs | |
| State | Published - 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.
Keywords
- Boundary with mass
- Fluid-structure interaction
- Immersed boundary method
- Implicit method