Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 231, Issue 21, Pages 7315-7334Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2012.07.001
Keywords
Fluid-structure interaction; Pseudo-solid mesh updates; Monolithic discretisation; Preconditioning; Multi-physics; Algebraic multigrid; Krylov methods
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We present a block preconditioner for the efficient solution of the linear systems that arise when employing Newton's method to solve monolithically-coupled large-displacement fluid-structure interaction problems in which the update of the moving fluid mesh is performed by the equations of large-displacement elasticity. Following a theoretical analysis of the preconditioner, we propose an efficient implementation that yields a solver with near-optimal computational cost, in the sense that the time for the solution of the linear systems scales approximately linearly with the number of unknowns. We evaluate the performance of the preconditioner in selected two-and three-dimensional test problems. (C) 2012 Elsevier Inc. All rights reserved.
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