Adjoint-based methods for optimization and goal-oriented error control applied to fluid-structure interaction: implementation of a partition-of-unity dual-weighted residual estimator for stationary forward FSI problems in deal.II

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Original languageEnglish
Title of host publicationBook of Extended Abstracts of the 6th ECCOMAS Young Investigators Conference 7th-9th July 2021, Valencia, Spain
Number of pages10
ISBN (electronic) 978-84-9048-969-7
Publication statusPublished - 7 Jul 2021

Abstract

In this work, we implement goal-oriented error control and spatial mesh adaptivity for stationary fluid-structure interaction. The a posteriori error estimator is realized using the dual-weighted residual method in which the adjoint equation arises. The fluid-structure interaction problem is formulated within a variational-monolithic framework using arbitrary Lagrangian-Eulerian coordinates. The overall problem is nonlinear and solved with Newton's method. We specifically consider the FSI-1 benchmark problem in which quantities of interest include the elastic beam displacements, drag, and lift. The implementation is provided open-source published on github https://github.com/tommeswick/goal-oriented-fsi. Possible extensions are discussed in the source code and in the conclusions of this paper.

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    math.NA, cs.NA, 65-04, 65-06, 65N30, 65N50, 74F10

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Adjoint-based methods for optimization and goal-oriented error control applied to fluid-structure interaction: implementation of a partition-of-unity dual-weighted residual estimator for stationary forward FSI problems in deal.II. / Wick, Thomas.
Book of Extended Abstracts of the 6th ECCOMAS Young Investigators Conference 7th-9th July 2021, Valencia, Spain. 2021.

Research output: Chapter in book/report/conference proceedingConference abstractResearch

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