Efficient solutions to robust, semi-implicit discretizations of the immersed boundary method

@article{Ceniceros2009EfficientST,
  title={Efficient solutions to robust, semi-implicit discretizations of the immersed boundary method},
  author={H{\'e}ctor D. Ceniceros and Jordan E. Fisher and Alexandre M. Roma},
  journal={J. Comput. Physics},
  year={2009},
  volume={228},
  pages={7137-7158}
}
The Immersed Boundary Method is a versatile tool for the investigation of flow-structure interaction. In a large number of applications, the immersed boundaries or structures are very stiff and strong tangential forces on these interfaces induce a well-known, severe time-step restriction for explicit discretizations. This excessive stability constraint can be removed with fully implicit or suitable semi-implicit schemes but at a seemingly prohibitive computational cost. While economical… CONTINUE READING
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