Journal article 627 views
A partitioned scheme for adjoint shape sensitivity analysis of fluid–structure interactions involving non-matching meshes
,
Roland Wüchner,
Kai-Uwe Bletzinger
Optimization Methods and Software, Volume: 37, Issue: 2, Pages: 1 - 31
Swansea University Author:
Wulf Dettmer
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DOI (Published version): 10.1080/10556788.2020.1806275
Abstract
This work presents a partitioned solution procedure to compute shape gradients in fluid–structure interaction (FSI) using black-box adjoint solvers. Special attention is paid to project the gradients onto the undeformed configuration due to the mixed Lagrangian–Eulerian formulation of large-deformat...
| Published in: | Optimization Methods and Software |
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| ISSN: | 1055-6788 1029-4937 |
| Published: |
Informa UK Limited
2020
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa55085 |
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| Abstract: |
This work presents a partitioned solution procedure to compute shape gradients in fluid–structure interaction (FSI) using black-box adjoint solvers. Special attention is paid to project the gradients onto the undeformed configuration due to the mixed Lagrangian–Eulerian formulation of large-deformation FSI in this work. The adjoint FSI problem is partitioned as an assembly of well-known adjoint fluid and structural problems. The sub-adjoint problems are coupled with each other by augmenting the target functions with auxiliary functions, independent of the concrete choice of the underlying adjoint formulations. The auxiliary functions are linear force-based or displacement-based functionals which are readily available in well-established single-disciplinary adjoint solvers. Adjoint structural displacements, adjoint fluid displacements, and domain-based adjoint sensitivities of the fluid are the coupling fields to be exchanged between the adjoint solvers. A reduced formulation is also derived for the case of boundary-based adjoint shape sensitivity analysis for fluids. Numerical studies show that the complete formulation computes accurate shape gradients whereas inaccuracies appear in the reduced gradients. Mapping techniques including nearest element interpolation and the mortar method are studied in computational adjoint FSI. It is numerically shown that the mortar method does not introduce spurious oscillations in primal and sensitivity fields along non-matching interfaces. |
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| Item Description: |
Pre-print version via https://arxiv.org/abs/1912.03078 |
| Keywords: |
Adjoint shape sensitivity analysis, fluid–structure interaction, partitioned coupling, black-box adjoint solvers, non-matching meshes |
| College: |
Faculty of Science and Engineering |
| Issue: |
2 |
| Start Page: |
1 |
| End Page: |
31 |