Details
| Originalsprache | Englisch |
|---|---|
| Publikationsstatus | Elektronisch veröffentlicht (E-Pub) - 24 Mai 2021 |
Abstract
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TY - UNPB
T1 - Adjoint-based methods for optimization and goal-oriented error control applied to fluid-structure interaction
T2 - implementation of a partition-of-unity dual-weighted residual estimator for stationary forward FSI problems in deal.II
AU - Wick, Thomas
N1 - 10 pages, 1 figure
PY - 2021/5/24
Y1 - 2021/5/24
N2 - 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.
AB - 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.
KW - math.NA
KW - cs.NA
KW - 65-04, 65-06, 65N30, 65N50, 74F10
M3 - Preprint
BT - Adjoint-based methods for optimization and goal-oriented error control applied to fluid-structure interaction
ER -