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article

Applications of automatic differentiation in topology optimization

Authors:

Sebastian A. NØrgaard,

Nicolas R. Gauger,

Boyan S. LazarovAuthors Info & Claims

Structural and Multidisciplinary Optimization, Volume 56, Issue 5

Pages 1135 - 1146

https://doi.org/10.1007/s00158-017-1708-2

Published: 01 November 2017 Publication History

Abstract

The goal of this article is to demonstrate the applicability and to discuss the advantages and disadvantages of automatic differentiation in topology optimization. The technique makes it possible to wholly or partially automate the evaluation of derivatives for optimization problems and is demonstrated on two separate, previously published types of problems in topology optimization. Two separate software packages for automatic differentiation, CoDiPack and Tapenade are considered, and their performance and usability trade-offs are discussed and compared to a hand coded adjoint gradient evaluation process. Finally, the resulting optimization framework is verified by applying it to a non-trivial unsteady flow topology optimization problem.

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Cited By

Huang LGao TSun ZWang BTian K(2024)An integrated topology and shape optimization framework for stiffened curved shells by mesh deformationEngineering with Computers10.1007/s00366-023-01887-840:3(1771-1793)Online publication date: 1-Jun-2024
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Wu G(2023)A framework for structural shape optimization based on automatic differentiation, the adjoint method and accelerated linear algebraStructural and Multidisciplinary Optimization10.1007/s00158-023-03601-066:7Online publication date: 20-Jun-2023
https://dl.acm.org/doi/10.1007/s00158-023-03601-0
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Published In

cover image Structural and Multidisciplinary Optimization

Structural and Multidisciplinary Optimization Volume 56, Issue 5

November 2017

258 pages

ISSN:1615-147X

Issue’s Table of Contents

Copyright © Copyright © 2017 Springer-Verlag GmbH Germany.

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 November 2017

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Cited By

Huang LGao TSun ZWang BTian K(2024)An integrated topology and shape optimization framework for stiffened curved shells by mesh deformationEngineering with Computers10.1007/s00366-023-01887-840:3(1771-1793)Online publication date: 1-Jun-2024
https://dl.acm.org/doi/10.1007/s00366-023-01887-8
Neofytou ARios TBujny MMenzel SKim H(2024)Level set topology optimization with sparse automatic differentiationStructural and Multidisciplinary Optimization10.1007/s00158-024-03894-967:10Online publication date: 14-Oct-2024
https://dl.acm.org/doi/10.1007/s00158-024-03894-9
Wu G(2023)A framework for structural shape optimization based on automatic differentiation, the adjoint method and accelerated linear algebraStructural and Multidisciplinary Optimization10.1007/s00158-023-03601-066:7Online publication date: 20-Jun-2023
https://dl.acm.org/doi/10.1007/s00158-023-03601-0
Tanabe YYaji KUshijima K(2023)Topology optimization using the lattice Boltzmann method for unsteady natural convection problemsStructural and Multidisciplinary Optimization10.1007/s00158-023-03522-y66:5Online publication date: 13-Apr-2023
https://dl.acm.org/doi/10.1007/s00158-023-03522-y
Ghasemi AElham A(2022)Efficient multi-stage aerodynamic topology optimization using an operator-based analytical differentiationStructural and Multidisciplinary Optimization10.1007/s00158-022-03208-x65:4Online publication date: 1-Apr-2022
https://dl.acm.org/doi/10.1007/s00158-022-03208-x
Chandrasekhar ASridhara SSuresh K(2021)AuTO: a framework for Automatic differentiation in Topology OptimizationStructural and Multidisciplinary Optimization10.1007/s00158-021-03025-864:6(4355-4365)Online publication date: 1-Dec-2021
https://dl.acm.org/doi/10.1007/s00158-021-03025-8
Yu MRuan SGu JRen MLi ZWang XShen C(2020)Three-dimensional topology optimization of thermal-fluid-structural problems for cooling system designStructural and Multidisciplinary Optimization10.1007/s00158-020-02731-z62:6(3347-3366)Online publication date: 1-Dec-2020
https://dl.acm.org/doi/10.1007/s00158-020-02731-z
Sagebaum MAlbring TGauger N(2019)High-Performance Derivative Computations using CoDiPackACM Transactions on Mathematical Software10.1145/335690045:4(1-26)Online publication date: 9-Dec-2019
https://dl.acm.org/doi/10.1145/3356900

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