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A partitioned scheme for adjoint shape sensitivity analysis of fluid–structure interactions involving non-matching meshes

Reza Najian Asl, Ihar Antonau, Aditya Ghantasala, Wulf Dettmer Orcid Logo, Roland Wüchner, Kai-Uwe Bletzinger

Optimization Methods and Software, Pages: 1 - 31

Swansea University Author: Wulf Dettmer Orcid Logo

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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-deformat...

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Published in: Optimization Methods and Software
ISSN: 1055-6788 1029-4937
Published: Informa UK Limited 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa55085
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spelling v2 55085 2020-08-27 A partitioned scheme for adjoint shape sensitivity analysis of fluid–structure interactions involving non-matching meshes 30bb53ad906e7160e947fa01c16abf55 0000-0003-0799-4645 Wulf Dettmer Wulf Dettmer true false 2020-08-27 AERO 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. Journal Article Optimization Methods and Software 0 1 31 Informa UK Limited 1055-6788 1029-4937 Adjoint shape sensitivity analysis, fluid–structure interaction, partitioned coupling, black-box adjoint solvers, non-matching meshes 17 8 2020 2020-08-17 10.1080/10556788.2020.1806275 Pre-print version via https://arxiv.org/abs/1912.03078 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2022-07-26T09:23:12.7738888 2020-08-27T11:34:25.5784881 College of Engineering Engineering Reza Najian Asl 1 Ihar Antonau 2 Aditya Ghantasala 3 Wulf Dettmer 0000-0003-0799-4645 4 Roland Wüchner 5 Kai-Uwe Bletzinger 6
title A partitioned scheme for adjoint shape sensitivity analysis of fluid–structure interactions involving non-matching meshes
spellingShingle A partitioned scheme for adjoint shape sensitivity analysis of fluid–structure interactions involving non-matching meshes
Wulf Dettmer
title_short A partitioned scheme for adjoint shape sensitivity analysis of fluid–structure interactions involving non-matching meshes
title_full A partitioned scheme for adjoint shape sensitivity analysis of fluid–structure interactions involving non-matching meshes
title_fullStr A partitioned scheme for adjoint shape sensitivity analysis of fluid–structure interactions involving non-matching meshes
title_full_unstemmed A partitioned scheme for adjoint shape sensitivity analysis of fluid–structure interactions involving non-matching meshes
title_sort A partitioned scheme for adjoint shape sensitivity analysis of fluid–structure interactions involving non-matching meshes
author_id_str_mv 30bb53ad906e7160e947fa01c16abf55
author_id_fullname_str_mv 30bb53ad906e7160e947fa01c16abf55_***_Wulf Dettmer
author Wulf Dettmer
author2 Reza Najian Asl
Ihar Antonau
Aditya Ghantasala
Wulf Dettmer
Roland Wüchner
Kai-Uwe Bletzinger
format Journal article
container_title Optimization Methods and Software
container_volume 0
container_start_page 1
publishDate 2020
institution Swansea University
issn 1055-6788
1029-4937
doi_str_mv 10.1080/10556788.2020.1806275
publisher Informa UK Limited
college_str College of Engineering
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hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
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description 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.
published_date 2020-08-17T09:23:12Z
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