An efficient preconditioner for monolithically-coupled large-displacement fluid-structure interaction problems with pseudo-solid mesh updates

JOURNAL OF COMPUTATIONAL PHYSICS

卷:231

Article

Muddle, Richard L.^1,2  Mihajlovic, Milan²  Heil, Matthias¹ 

[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

[2] Univ Manchester, Sch Comp Sci, Manchester M13 9PL, Lancs, England

关键词: Fluid-structure interaction;    Pseudo-solid mesh updates;    Monolithic discretisation;    Preconditioning;    Multi-physics;    Algebraic multigrid;    Krylov methods;   

DOI  :  10.1016/j.jcp.2012.07.001

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

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