Level Set-Based Topology Optimization in an Incompressible Viscous Flow using the Finite Volume Method
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- KOGUCHI Atsushi
- CAE technology Department, IDAJ Co., LTD.
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- YAJI Kentaro
- Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University
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- YAMADA Takayuki
- Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University
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- IZUI Kazuhiro
- Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University
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- NISHIWAKI Shinji
- Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University
Bibliographic Information
- Other Title
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- 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.
Journal
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- Transactions of the Japan Society for Computational Engineering and Science
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Transactions of the Japan Society for Computational Engineering and Science 2015 (0), 20150002-20150002, 2015
JAPAN SOCIETY FOR COMPUTATIONAL ENGINEERING AND SCIENCE
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Details 詳細情報について
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- CRID
- 1390282679449983360
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- NII Article ID
- 130004851532
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- ISSN
- 13478826
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- Text Lang
- ja
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- Data Source
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- JaLC
- CiNii Articles
- KAKEN
- Crossref
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- Abstract License Flag
- Disallowed