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https://eprints.maths.manchester.ac.uk/438/
An efficient solver for the fully-coupled solution of large-displacement fluid-structure interaction problems
Heil, Matthias
28 Measure and integration
80 Classical thermodynamics, heat transfer
83 Relativity and gravitational theory
This paper is concerned with the fully coupled (‘monolithic’) solution of large-displacement fluid–structure interaction problems by Newton’s method. We show that block-triangular approximations of the Jacobian matrix, obtained by neglecting selected fluid–structure interaction blocks, provide good preconditioners for the solution of the linear systems with GMRES. We present an efficient approximate implementation of the preconditioners, based on a Schur complement approximation for the Navier–Stokes block and the use of multigrid approximations for the solution of the computationally most expensive operations. The performance of the the preconditioners is examined in representative steady and unsteady simulations which show that the GMRES iteration counts only display a mild dependence on the Reynolds number and the mesh size. The final part of the paper demonstrates the importance of consistent stabilisation for the accurate simulation of fluid–structure interaction problems.
2004
Article
PeerReviewed
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https://eprints.maths.manchester.ac.uk/438/1/sdarticle.pdf
Heil, Matthias (2004) An efficient solver for the fully-coupled solution of large-displacement fluid-structure interaction problems. Computer Methods in Applied Mechanics and Engineering, 193 (1-2). pp. 1-23. ISSN 0045-7825
http://www.sciencedirect.com/science?_ob=IssueURL&_tockey=%23TOC%235697%232004%23998069998%23474070%23FLA%23&_auth=y&view=c&_acct=C000010021&_version=1&_urlVersion=0&_userid=121749&md5=4860d9407014a2f5f6772115851e94ec
10.1016/j.cma.2003.09.006
10.1016/j.cma.2003.09.006