Level Set-Based Topology Optimization in an Incompressible Viscous Flow using the Finite Volume Method

DOI 1 Citations Open Access
  • KOGUCHI Atsushi
    CAE technology Department, IDAJ Co., LTD.
  • YAJI Kentaro
    Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University
  • YAMADA Takayuki
    Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University
  • IZUI Kazuhiro
    Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University
  • NISHIWAKI Shinji
    Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University

Bibliographic Information

Other Title
  • 有限体積法を用いたレベルセット法に基づく非圧縮性粘性流れのトポロジー最適化

Abstract

This paper proposes a topology optimization method for steady state incompressible viscous flow problems, based on the finite volume method incorporating level set boundary expressions. The optimization problem is formulated to minimize the power dissipation under a volume constraint. The optimization algorithm is developed based on this formulation, using the adjoint variable method for the sensitivity analysis. The update scheme for design variables uses a reaction-diffusion equation derived from the concept of the topological derivative. Here, the finite volume method is applied to solve the governing, adjoint, and reaction-diffusion equations because it is more suitable than the finite element method for solving relatively large-scale problems that include higher Reynolds numbers. Several numerical examples are provided to confirm the utility of the proposed method.

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Details 詳細情報について

  • CRID
    1390282679449983360
  • NII Article ID
    130004851532
  • DOI
    10.11421/jsces.2015.20150002
  • ISSN
    13478826
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
    • KAKEN
    • Crossref
  • Abstract License Flag
    Disallowed

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