Density based topology optimization of turbulent flow heat transfer systems

Sümer Bartug Dilgen*, Cetin Batur Dilgen, David R. Fuhrman, Ole Sigmund, Boyan Stefanov Lazarov

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

The focus of this article is on topology optimization of heat sinks with turbulent forced convection. The goal is to demonstrate the extendibility, and the scalability of a previously developed fluid solver to coupled multi-physics and large 3D problems. The gradients of the objective and the constraints are obtained with the help of automatic differentiation applied on the discrete system without any simplifying assumptions. Thus, as demonstrated in earlier works of the authors, the sensitivities are exact to machine precision. The framework is applied to the optimization of 2D and 3D problems. Comparison between the simplified 2D setup and the full 3D optimized results is provided. A comparative study is also provided between designs optimized for laminar and turbulent flows. The comparisons highlight the importance and the benefits of full 3D optimization and including turbulence modeling in the optimization process, while also demonstrating extension of the methodology to include coupling of heat transfer with turbulent flows.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Volume57
Issue number5
Pages (from-to)1905-1918
ISSN1615-147X
DOIs
Publication statusPublished - 2018

Keywords

  • Topology optimization
  • Automatic differentiation
  • Turbulent flow
  • Thermal-fluid
  • Heat sink

Cite this

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title = "Density based topology optimization of turbulent flow heat transfer systems",
abstract = "The focus of this article is on topology optimization of heat sinks with turbulent forced convection. The goal is to demonstrate the extendibility, and the scalability of a previously developed fluid solver to coupled multi-physics and large 3D problems. The gradients of the objective and the constraints are obtained with the help of automatic differentiation applied on the discrete system without any simplifying assumptions. Thus, as demonstrated in earlier works of the authors, the sensitivities are exact to machine precision. The framework is applied to the optimization of 2D and 3D problems. Comparison between the simplified 2D setup and the full 3D optimized results is provided. A comparative study is also provided between designs optimized for laminar and turbulent flows. The comparisons highlight the importance and the benefits of full 3D optimization and including turbulence modeling in the optimization process, while also demonstrating extension of the methodology to include coupling of heat transfer with turbulent flows.",
keywords = "Topology optimization, Automatic differentiation, Turbulent flow, Thermal-fluid, Heat sink",
author = "Dilgen, {S{\"u}mer Bartug} and Dilgen, {Cetin Batur} and Fuhrman, {David R.} and Ole Sigmund and Lazarov, {Boyan Stefanov}",
year = "2018",
doi = "10.1007/s00158-018-1967-6",
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pages = "1905--1918",
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issn = "1615-147X",
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Density based topology optimization of turbulent flow heat transfer systems. / Dilgen, Sümer Bartug; Dilgen, Cetin Batur; Fuhrman, David R.; Sigmund, Ole; Lazarov, Boyan Stefanov.

In: Structural and Multidisciplinary Optimization, Vol. 57, No. 5, 2018, p. 1905-1918.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Density based topology optimization of turbulent flow heat transfer systems

AU - Dilgen, Sümer Bartug

AU - Dilgen, Cetin Batur

AU - Fuhrman, David R.

AU - Sigmund, Ole

AU - Lazarov, Boyan Stefanov

PY - 2018

Y1 - 2018

N2 - The focus of this article is on topology optimization of heat sinks with turbulent forced convection. The goal is to demonstrate the extendibility, and the scalability of a previously developed fluid solver to coupled multi-physics and large 3D problems. The gradients of the objective and the constraints are obtained with the help of automatic differentiation applied on the discrete system without any simplifying assumptions. Thus, as demonstrated in earlier works of the authors, the sensitivities are exact to machine precision. The framework is applied to the optimization of 2D and 3D problems. Comparison between the simplified 2D setup and the full 3D optimized results is provided. A comparative study is also provided between designs optimized for laminar and turbulent flows. The comparisons highlight the importance and the benefits of full 3D optimization and including turbulence modeling in the optimization process, while also demonstrating extension of the methodology to include coupling of heat transfer with turbulent flows.

AB - The focus of this article is on topology optimization of heat sinks with turbulent forced convection. The goal is to demonstrate the extendibility, and the scalability of a previously developed fluid solver to coupled multi-physics and large 3D problems. The gradients of the objective and the constraints are obtained with the help of automatic differentiation applied on the discrete system without any simplifying assumptions. Thus, as demonstrated in earlier works of the authors, the sensitivities are exact to machine precision. The framework is applied to the optimization of 2D and 3D problems. Comparison between the simplified 2D setup and the full 3D optimized results is provided. A comparative study is also provided between designs optimized for laminar and turbulent flows. The comparisons highlight the importance and the benefits of full 3D optimization and including turbulence modeling in the optimization process, while also demonstrating extension of the methodology to include coupling of heat transfer with turbulent flows.

KW - Topology optimization

KW - Automatic differentiation

KW - Turbulent flow

KW - Thermal-fluid

KW - Heat sink

U2 - 10.1007/s00158-018-1967-6

DO - 10.1007/s00158-018-1967-6

M3 - Journal article

VL - 57

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EP - 1918

JO - Structural and Multidisciplinary Optimization

JF - Structural and Multidisciplinary Optimization

SN - 1615-147X

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ER -