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

verfasst von

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.

Organisationseinheit(en)

PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme
Institut für Angewandte Mathematik
SFB 1463: Integrierte Entwurfs- und Betriebsmethodik für Offshore- Megastrukturen

Externe Organisation(en)

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

Typ

Artikel

Journal

Journal of Computational and Applied Mathematics

Band

412

ISSN

0771-050X

Publikationsdatum

01.10.2022

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Computational Mathematics, Angewandte Mathematik

Elektronische Version(en)

http://arxiv.org/abs/2108.05654v1 (Zugang: Offen)
https://doi.org/10.1016/j.cam.2022.114315 (Zugang: Geschlossen)