A “poor man’s” approach to topology optimization of natural convection problems

Janus Asmussen, Joe Alexandersen, Ole Sigmund, Casper Schousboe Andreasen*

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Topology optimization of natural convection problems is computationally expensive, due to the large number of degrees of freedom (DOFs) in the model and its two-way coupled nature. Herein, a method is presented to reduce the computational effort by use of a reduced-order model governed by simplified physics. The proposed method models the fluid flow using a potential flow model, which introduces an additional fluid property. This material property currently requires tuning of the model by comparison to numerical Navier-Stokes-based solutions. Despite the significant simplifications, hereunder neglecting viscous boundary layers, topology optimization based on the reduced-order model is shown to provide qualitatively similar designs, as those obtained using a full Navier-Stokes-based model. The number of DOFs is reduced by 50% in two dimensions and the computational complexity is evaluated to be approximately 12.5% of the full model. We further compare to optimized designs obtained utilizing Newton’s convection law.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Volume59
Issue number4
Pages (from-to)1105-1124
ISSN1615-147X
DOIs
Publication statusPublished - 2019

Keywords

  • Topology optimization
  • Natural convection
  • Reduced-order model
  • Potential flow
  • Heat sink design

Cite this

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title = "A “poor man’s” approach to topology optimization of natural convection problems",
abstract = "Topology optimization of natural convection problems is computationally expensive, due to the large number of degrees of freedom (DOFs) in the model and its two-way coupled nature. Herein, a method is presented to reduce the computational effort by use of a reduced-order model governed by simplified physics. The proposed method models the fluid flow using a potential flow model, which introduces an additional fluid property. This material property currently requires tuning of the model by comparison to numerical Navier-Stokes-based solutions. Despite the significant simplifications, hereunder neglecting viscous boundary layers, topology optimization based on the reduced-order model is shown to provide qualitatively similar designs, as those obtained using a full Navier-Stokes-based model. The number of DOFs is reduced by 50{\%} in two dimensions and the computational complexity is evaluated to be approximately 12.5{\%} of the full model. We further compare to optimized designs obtained utilizing Newton’s convection law.",
keywords = "Topology optimization, Natural convection, Reduced-order model, Potential flow, Heat sink design",
author = "Janus Asmussen and Joe Alexandersen and Ole Sigmund and Andreasen, {Casper Schousboe}",
year = "2019",
doi = "10.1007/s00158-019-02215-9",
language = "English",
volume = "59",
pages = "1105--1124",
journal = "Structural and Multidisciplinary Optimization",
issn = "1615-147X",
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A “poor man’s” approach to topology optimization of natural convection problems. / Asmussen, Janus; Alexandersen, Joe; Sigmund, Ole; Andreasen, Casper Schousboe.

In: Structural and Multidisciplinary Optimization, Vol. 59, No. 4, 2019, p. 1105-1124.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - A “poor man’s” approach to topology optimization of natural convection problems

AU - Asmussen, Janus

AU - Alexandersen, Joe

AU - Sigmund, Ole

AU - Andreasen, Casper Schousboe

PY - 2019

Y1 - 2019

N2 - Topology optimization of natural convection problems is computationally expensive, due to the large number of degrees of freedom (DOFs) in the model and its two-way coupled nature. Herein, a method is presented to reduce the computational effort by use of a reduced-order model governed by simplified physics. The proposed method models the fluid flow using a potential flow model, which introduces an additional fluid property. This material property currently requires tuning of the model by comparison to numerical Navier-Stokes-based solutions. Despite the significant simplifications, hereunder neglecting viscous boundary layers, topology optimization based on the reduced-order model is shown to provide qualitatively similar designs, as those obtained using a full Navier-Stokes-based model. The number of DOFs is reduced by 50% in two dimensions and the computational complexity is evaluated to be approximately 12.5% of the full model. We further compare to optimized designs obtained utilizing Newton’s convection law.

AB - Topology optimization of natural convection problems is computationally expensive, due to the large number of degrees of freedom (DOFs) in the model and its two-way coupled nature. Herein, a method is presented to reduce the computational effort by use of a reduced-order model governed by simplified physics. The proposed method models the fluid flow using a potential flow model, which introduces an additional fluid property. This material property currently requires tuning of the model by comparison to numerical Navier-Stokes-based solutions. Despite the significant simplifications, hereunder neglecting viscous boundary layers, topology optimization based on the reduced-order model is shown to provide qualitatively similar designs, as those obtained using a full Navier-Stokes-based model. The number of DOFs is reduced by 50% in two dimensions and the computational complexity is evaluated to be approximately 12.5% of the full model. We further compare to optimized designs obtained utilizing Newton’s convection law.

KW - Topology optimization

KW - Natural convection

KW - Reduced-order model

KW - Potential flow

KW - Heat sink design

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DO - 10.1007/s00158-019-02215-9

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JO - Structural and Multidisciplinary Optimization

JF - Structural and Multidisciplinary Optimization

SN - 1615-147X

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ER -