Shape optimization and optimal control for transient heat conduction problems using an isogeometric approach

Journal article (2017)

Authors

Z. Wang Aerospace Structures & Computational Mechanics - Aerospace Engineering

S.R. Turteltaub Aerospace Structures & Computational Mechanics - Aerospace Engineering

M.M. Abdalla Aerospace Structures & Computational Mechanics - Aerospace Engineering

Research Group

Aerospace Structures & Computational Mechanics (Aerospace Engineering) (TU Delft)

DOI: https://doi.org/10.1016/j.compstruc.2017.02.004

Adjoint method Isogeometric analysis Shape optimization Passive optimal control Transient heat conduction

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http://resolver.tudelft.nl/uuid:a29f1d59-b4a5-4cba-8532-ef95611ef7e7

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Published Date

01-06-2017

Language

English

Faculty

Aerospace Engineering

Department

Aerospace Structures & Materials

Research Group

Aerospace Structures & Computational Mechanics

Abstract

This work is concerned with the development of a framework to solve shape optimization problems for transient heat conduction problems within the context of isogeometric analysis (IGA). A general objective functional is used to accommodate both shape optimization and passive control problems under transient conditions. An adjoint sensitivity analysis, which accounts for possible discontinuities in the objective functional, is performed analytically and subsequently discretized within the context of IGA. The gradient of the objective functional is used in a descent algorithm to solve optimization problems. Numerical examples are presented to validate and demonstrate the capacity to manage thermal fields under transient conditions.

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