Details
| Original language | English |
|---|---|
| Pages (from-to) | 5430-5449 |
| Number of pages | 20 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 122 |
| Issue number | 19 |
| Early online date | 7 Apr 2020 |
| Publication status | Published - 28 Sept 2021 |
Abstract
Within this work, we consider optimization settings for nonlinear, nonstationary fluid-structure interaction (FSI). The problem is formulated in a monolithic fashion using the arbitrary Lagrangian-Eulerian framework to set-up the fluid-structure forward problem. In the optimization approach, either optimal control or optimal design problems are treated. In the latter, the stiffness of the solid is estimated from given reference values. In the numerical solution, the optimization problem is solved with a gradient-based solution algorithm. The nonlinear subproblems of the FSI forward problem are solved with a Newton method including line search. Specifically, we will formally provide the backward-in-time running adjoint state used for gradient computations. Our algorithmic developments are demonstrated with some numerical examples as, for instance, extensions of the well-known fluid-structure benchmark settings and a flapping membrane test in a channel flow with elastic walls.
Keywords
- gradient-based optimization, monolithic formulation, optimal control, optimal design, unsteady nonlinear fluid-structure interaction
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 122, No. 19, 28.09.2021, p. 5430-5449.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Optimization with nonstationary, nonlinear monolithic fluid-structure interaction
AU - Wick, Thomas
AU - Wollner, Winnifried
N1 - Funding Information: Open access funding enabled and organized by Projekt DEAL.
PY - 2021/9/28
Y1 - 2021/9/28
N2 - Within this work, we consider optimization settings for nonlinear, nonstationary fluid-structure interaction (FSI). The problem is formulated in a monolithic fashion using the arbitrary Lagrangian-Eulerian framework to set-up the fluid-structure forward problem. In the optimization approach, either optimal control or optimal design problems are treated. In the latter, the stiffness of the solid is estimated from given reference values. In the numerical solution, the optimization problem is solved with a gradient-based solution algorithm. The nonlinear subproblems of the FSI forward problem are solved with a Newton method including line search. Specifically, we will formally provide the backward-in-time running adjoint state used for gradient computations. Our algorithmic developments are demonstrated with some numerical examples as, for instance, extensions of the well-known fluid-structure benchmark settings and a flapping membrane test in a channel flow with elastic walls.
AB - Within this work, we consider optimization settings for nonlinear, nonstationary fluid-structure interaction (FSI). The problem is formulated in a monolithic fashion using the arbitrary Lagrangian-Eulerian framework to set-up the fluid-structure forward problem. In the optimization approach, either optimal control or optimal design problems are treated. In the latter, the stiffness of the solid is estimated from given reference values. In the numerical solution, the optimization problem is solved with a gradient-based solution algorithm. The nonlinear subproblems of the FSI forward problem are solved with a Newton method including line search. Specifically, we will formally provide the backward-in-time running adjoint state used for gradient computations. Our algorithmic developments are demonstrated with some numerical examples as, for instance, extensions of the well-known fluid-structure benchmark settings and a flapping membrane test in a channel flow with elastic walls.
KW - gradient-based optimization
KW - monolithic formulation
KW - optimal control
KW - optimal design
KW - unsteady nonlinear fluid-structure interaction
UR - http://www.scopus.com/inward/record.url?scp=85084147289&partnerID=8YFLogxK
U2 - 10.1002/nme.6372
DO - 10.1002/nme.6372
M3 - Article
AN - SCOPUS:85084147289
VL - 122
SP - 5430
EP - 5449
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 19
ER -