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Discrete adjoint methodology for general multiphysics problems: A modular and efficient algorithmic outline with implementation in an open-source simulation software

Authors:

Tobias Kattmann,

Thomas D. Economon,

Nicolas R. Gauger,

Rafael PalaciosAuthors Info & Claims

Structural and Multidisciplinary Optimization, Volume 65, Issue 1

https://doi.org/10.1007/s00158-021-03117-5

Published: 01 January 2022 Publication History

Abstract

This article presents a methodology whereby adjoint solutions for partitioned multiphysics problems can be computed efficiently, in a way that is completely independent of the underlying physical sub-problems, the associated numerical solution methods, and the number and type of couplings between them. By applying the reverse mode of algorithmic differentiation to each discipline, and by using a specialized recording strategy, diagonal and cross terms can be evaluated individually, thereby allowing different solution methods for the generic coupled problem (for example block-Jacobi or block-Gauss-Seidel). Based on an implementation in the open-source multiphysics simulation and design software SU2, we demonstrate how the same algorithm can be applied for shape sensitivity analysis on a heat exchanger (conjugate heat transfer), a deforming wing (fluid–structure interaction), and a cooled turbine blade where both effects are simultaneously taken into account.

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Cited By

Kühl NNguyen TPalm MJürgens DRung T(2022)Adjoint node-based shape optimization of free-floating vesselsStructural and Multidisciplinary Optimization10.1007/s00158-022-03338-265:9Online publication date: 23-Aug-2022
https://dl.acm.org/doi/10.1007/s00158-022-03338-2
Gomes PPalacios R(2022)Aerostructural topology optimization using high fidelity modelingStructural and Multidisciplinary Optimization10.1007/s00158-022-03234-965:5Online publication date: 12-Apr-2022
https://dl.acm.org/doi/10.1007/s00158-022-03234-9

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Discrete adjoint methodology for general multiphysics problems: A modular and efficient algorithmic outline with implementation in an open-source simulation software

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Information & Contributors

Information

Published In

cover image Structural and Multidisciplinary Optimization

Structural and Multidisciplinary Optimization Volume 65, Issue 1

Jan 2022

747 pages

ISSN:1615-147X

Issue’s Table of Contents

© The Author(s) 2022.

Publisher

Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 January 2022

Accepted: 13 October 2021

Revision received: 11 October 2021

Received: 26 January 2021

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Bayerische Forschungsstiftung
Technische Universität Kaiserslautern (3142)

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Cited By

Kühl NNguyen TPalm MJürgens DRung T(2022)Adjoint node-based shape optimization of free-floating vesselsStructural and Multidisciplinary Optimization10.1007/s00158-022-03338-265:9Online publication date: 23-Aug-2022
https://dl.acm.org/doi/10.1007/s00158-022-03338-2
Gomes PPalacios R(2022)Aerostructural topology optimization using high fidelity modelingStructural and Multidisciplinary Optimization10.1007/s00158-022-03234-965:5Online publication date: 12-Apr-2022
https://dl.acm.org/doi/10.1007/s00158-022-03234-9

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