Topology optimization of heat conduction problems using the finite volume method

Allan Gersborg-Hansen, Martin P. Bendsøe, Ole Sigmund

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

This note addresses the use of the finite volume method (FVM) for topology optimization of a heat conduction problem. Issues pertaining to the proper choice of cost functions, sensitivity analysis and example test problems are used to illustrate the effect of applying the FVM as an analysis tool for design optimization. This involves an application of the FVM to problems with non-homogeneous material distributions and the arithmetic and harmonic averages have here been used to provide a unique value for the conductivity at element boundaries. It is observed that when using the harmonic average checkerboards do not form during the topology optimization process.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Volume31
Issue number4
Pages (from-to)251-259
ISSN1615-147X
DOIs
Publication statusPublished - 2006

Cite this

@article{049aa452b35e47d9bf111faed7772f45,
title = "Topology optimization of heat conduction problems using the finite volume method",
abstract = "This note addresses the use of the finite volume method (FVM) for topology optimization of a heat conduction problem. Issues pertaining to the proper choice of cost functions, sensitivity analysis and example test problems are used to illustrate the effect of applying the FVM as an analysis tool for design optimization. This involves an application of the FVM to problems with non-homogeneous material distributions and the arithmetic and harmonic averages have here been used to provide a unique value for the conductivity at element boundaries. It is observed that when using the harmonic average checkerboards do not form during the topology optimization process.",
keywords = "Topology optimization, Heat conduction, Finite volume method, Sensitivity analysis",
author = "Allan Gersborg-Hansen and Bends{\o}e, {Martin P.} and Ole Sigmund",
year = "2006",
doi = "10.1007/s00158-005-0584-3",
language = "English",
volume = "31",
pages = "251--259",
journal = "Structural and Multidisciplinary Optimization",
issn = "1615-147X",
publisher = "Springer",
number = "4",

}

Topology optimization of heat conduction problems using the finite volume method. / Gersborg-Hansen, Allan; Bendsøe, Martin P.; Sigmund, Ole.

In: Structural and Multidisciplinary Optimization, Vol. 31, No. 4, 2006, p. 251-259.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Topology optimization of heat conduction problems using the finite volume method

AU - Gersborg-Hansen, Allan

AU - Bendsøe, Martin P.

AU - Sigmund, Ole

PY - 2006

Y1 - 2006

N2 - This note addresses the use of the finite volume method (FVM) for topology optimization of a heat conduction problem. Issues pertaining to the proper choice of cost functions, sensitivity analysis and example test problems are used to illustrate the effect of applying the FVM as an analysis tool for design optimization. This involves an application of the FVM to problems with non-homogeneous material distributions and the arithmetic and harmonic averages have here been used to provide a unique value for the conductivity at element boundaries. It is observed that when using the harmonic average checkerboards do not form during the topology optimization process.

AB - This note addresses the use of the finite volume method (FVM) for topology optimization of a heat conduction problem. Issues pertaining to the proper choice of cost functions, sensitivity analysis and example test problems are used to illustrate the effect of applying the FVM as an analysis tool for design optimization. This involves an application of the FVM to problems with non-homogeneous material distributions and the arithmetic and harmonic averages have here been used to provide a unique value for the conductivity at element boundaries. It is observed that when using the harmonic average checkerboards do not form during the topology optimization process.

KW - Topology optimization, Heat conduction, Finite volume method, Sensitivity analysis

U2 - 10.1007/s00158-005-0584-3

DO - 10.1007/s00158-005-0584-3

M3 - Journal article

VL - 31

SP - 251

EP - 259

JO - Structural and Multidisciplinary Optimization

JF - Structural and Multidisciplinary Optimization

SN - 1615-147X

IS - 4

ER -