Commun. Comput. Phys., 12 (2012), pp. 337-377.


Numerical Methods for Fluid-Structure Interaction - A Review

Gene Hou 1, Jin Wang 2*, Anita Layton 3

1 Department of Mechanical and Aerospace Engineering, Old Dominion University, Norfolk, VA 23529, USA.
2 Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, USA.
3 Department of Mathematics, Duke University, Durham, NC 27708, USA.

Received 29 December 2010; Accepted (in revised version) 29 April 2011
Available online 20 February 2012
doi:10.4208/cicp.291210.290411s

Abstract

The interactions between incompressible fluid flows and immersed structures are nonlinear multi-physics phenomena that have applications to a wide range of scientific and engineering disciplines. In this article, we review representative numerical methods based on conforming and non-conforming meshes that are currently available for computing fluid-structure interaction problems, with an emphasis on some of the recent developments in the field. A goal is to categorize the selected methods and assess their accuracy and efficiency. We discuss challenges faced by researchers in this field, and we emphasize the importance of interdisciplinary effort for advancing the study in fluid-structure interactions.

AMS subject classifications: 65-02, 65Z05, 74F10
Key words: Fluid-structure interaction, conforming and non-conforming meshes, immersed methods.

*Corresponding author.
Email: ghou@odu.edu (G. Hou), j3wang@odu.edu (J. Wang), alayton@math.duke.edu (A. Layton)
 

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