Journal of Computational and Applied Mathematics2022,Vol.41218.DOI:10.1016/j.cam.2022.114315

Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction

Ahuja, K. Endtmayer, B. Steinbach, M. C. Wick, T.
Journal of Computational and Applied Mathematics2022,Vol.41218.DOI:10.1016/j.cam.2022.114315

Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction

Ahuja, K. 1Endtmayer, B. 1Steinbach, M. C. 1Wick, T.1
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作者信息

  • 1. Leibniz Univ Hannover
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Abstract

In this work, we consider multigoal-oriented error estimation for stationary fluid-structure interaction. The problem is formulated within a variational-monolithic setting using arbitrary Lagrangian-Eulerian coordinates. Employing the dual-weighted residual method for goal-oriented a posteriori error estimation, adjoint sensitivities are required. For multigoal-oriented error estimation, a combined functional is formulated such that several quantities of interest are controlled simultaneously. As localization technique for mesh refinement we employ a partition-of-unity. Our algorithmic developments are substantiated with several numerical tests such as an elastic lid-driven cavity with two goal functionals, an elastic bar in a chamber with two goal functionals, and the FSI-1 benchmark with three goal functionals. (c) 2022 Elsevier B.V. All rights reserved.

Key words

Fluid-structure interaction/Dual-weighted residuals/Multigoal-oriented error estimation/Mesh adaptivity/Deal.II/FORMULATION

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
被引量1
参考文献量66
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