A strongly-coupled immersed-boundary formulation for thin elastic structures
- Creators
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Goza, Andres
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Colonius, Tim
Abstract
We present a strongly-coupled immersed-boundary method for flow–structure interaction problems involving thin deforming bodies. The method is stable for arbitrary choices of solid-to-fluid mass ratios and for large body motions. As with many strongly-coupled immersed-boundary methods, our method requires the solution of a nonlinear algebraic system at each time step. The system is solved through iteration, where the iterates are obtained by linearizing the system and performing a block-LU factorization. This restricts all iterations to small-dimensional subsystems that scale with the number of discretization points on the immersed surface, rather than on the entire flow domain. Moreover, the iteration procedure we propose does not involve heuristic regularization parameters, and has converged in a small number of iterations for all problems we have considered. We derive our method for general deforming surfaces, and verify the method with two-dimensional test problems of geometrically nonlinear flags undergoing large amplitude flapping behavior.
Additional Information
© 2017 Elsevier Inc. Received 12 September 2016, Revised 7 February 2017, Accepted 8 February 2017, Available online 14 February 2017. This research was partially supported by a grant from the Jet Propulsion Laboratory (Grant No. 1492185). Many of the simulations were performed using the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation grant number ACI-1053575. The first author gratefully acknowledges funding from the National Science Foundation Graduate Research Fellowship Program (Grant No. DGE-1144469), and thanks Anthony Massari for many helpful discussion about corotational flag formulations. We thank Professor Jeff Eldredge for his helpful comments on the manuscript.Attached Files
Submitted - 1610.01115v1.pdf
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Additional details
- Alternative title
- A strongly-coupled immersed-boundary formulation for thin deforming surfaces, with application to elastic beams
- Eprint ID
- 71986
- DOI
- 10.1016/j.jcp.2017.02.027
- Resolver ID
- CaltechAUTHORS:20161114-103855929
- JPL
- 1492185
- NSF
- ACI-1053575
- NSF Graduate Research Fellowship
- DGE-1144469
- Created
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2016-11-15Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field