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Density based topology optimization of turbulent flow heat transfer systems

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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.

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Acknowledgements

The authors acknowledge the financial support received from the TopTen project sponsored by the Danish Council for Independent Research (DFF-4005-00320). During the final part, the work of the last author was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344.

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    Authors and Affiliations

    1. Department of Electrical Engineering, Technical University of Denmark, Lyngby, Denmark

      Sumer B. Dilgen

    2. Department of Mechanical Engineering, Technical University of Denmark, Lyngby, Denmark

      Cetin B. Dilgen, David R. Fuhrman, Ole Sigmund & Boyan S. Lazarov

    3. Lawrence Livermore National Laboratory, Livermore, CA, USA

      Boyan S. Lazarov

    4. School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Manchester, UK

      Boyan S. Lazarov

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    1. Sumer B. Dilgen
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    2. Cetin B. Dilgen
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    3. David R. Fuhrman
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    4. Ole Sigmund
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    5. Boyan S. Lazarov
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    Corresponding author

    Correspondence to Sumer B. Dilgen.

    Additional information

    Sumer B. Dilgen and Cetin B. Dilgen contributed equally to this work.

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    Dilgen, S.B., Dilgen, C.B., Fuhrman, D.R. et al. Density based topology optimization of turbulent flow heat transfer systems. Struct Multidisc Optim 57, 1905–1918 (2018). https://doi.org/10.1007/s00158-018-1967-6

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    • DOI: https://doi.org/10.1007/s00158-018-1967-6

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