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

authored by

K. Ahuja, B. Endtmayer, M. C. Steinbach, T. Wick

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.

Organisation(s)

PhoenixD: Photonics, Optics, and Engineering - Innovation Across Disciplines
Institute of Applied Mathematics
CRC 1463: Integrated Design and Operation Methodology for Offshore Megastructures

External Organisation(s)

Indian Institute of Technology Indore (IITI)
Johannes Kepler University of Linz (JKU)
Austrian Academy of Sciences
École normale supérieure Paris-Saclay (ENS Paris-Saclay)

Type

Article

Journal

Journal of Computational and Applied Mathematics

Volume

412

ISSN

0771-050X

Publication date

01.10.2022

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Computational Mathematics, Applied Mathematics

Electronic version(s)

http://arxiv.org/abs/2108.05654v1 (Access: Open)
https://doi.org/10.1016/j.cam.2022.114315 (Access: Closed)