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G.X. Jing¹, H. Isakari¹, T. Matsumoto¹, T. Takahashi¹ and T. Yamada²

¹Department of Mechanical Science and Engineering, Nagoya University, Japan
²Department of Mechanical Science and Engineering, Kyoto University, Japan

doi:10.4203/ccp.106.193

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G.X. Jing, H. Isakari, T. Matsumoto, T. Takahashi, T. Yamada, "Level Set-Based Topology Optimization of Two Dimensional Heat Conduction Problems using the Boundary Element Method", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 193, 2014. doi:10.4203/ccp.106.193

Keywords: topology optimization, topological derivative, boundary element method, heat transfer problems, level set method, adjoint variable method..

Summary

A level set-based topology optimization method is presented for the two-dimensional heat transfer problem with heat convection boundary conditions using the boundary element method (BEM). The level setmethod is used to represent the structural boundaries, and the boundary mesh is generated based on the level set function. The major novel aspect of this paper is that the governing equation is solved without the ersatz material approach and the approximated heat convection boundary condition, but by tracking the actual boundary with the mesh generation. First, the level set-based topology optimization method is briefly discussed. Using the level set based boundary expression, the topology optimization problem for the heat transfer problem with heart convection boundary condition is formulated. Next, the topological derivative is derived based on the formulation. Finally, two-dimensional numerical examples are provided to confirm the validity of the derived topological derivation and the proposed topology optimization method.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 193 Level Set-Based Topology Optimization of Two Dimensional Heat Conduction Problems using the Boundary Element Method G.X. Jing¹, H. Isakari¹, T. Matsumoto¹, T. Takahashi¹ and T. Yamada² ¹Department of Mechanical Science and Engineering, Nagoya University, Japan ²Department of Mechanical Science and Engineering, Kyoto University, Japan doi:10.4203/ccp.106.193 purchase the full-text of this paper Full Bibliographic Reference for this paper G.X. Jing, H. Isakari, T. Matsumoto, T. Takahashi, T. Yamada, "Level Set-Based Topology Optimization of Two Dimensional Heat Conduction Problems using the Boundary Element Method", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 193, 2014. doi:10.4203/ccp.106.193 Keywords: topology optimization, topological derivative, boundary element method, heat transfer problems, level set method, adjoint variable method.. Summary A level set-based topology optimization method is presented for the two-dimensional heat transfer problem with heat convection boundary conditions using the boundary element method (BEM). The level setmethod is used to represent the structural boundaries, and the boundary mesh is generated based on the level set function. The major novel aspect of this paper is that the governing equation is solved without the ersatz material approach and the approximated heat convection boundary condition, but by tracking the actual boundary with the mesh generation. First, the level set-based topology optimization method is briefly discussed. Using the level set based boundary expression, the topology optimization problem for the heat transfer problem with heart convection boundary condition is formulated. Next, the topological derivative is derived based on the formulation. Finally, two-dimensional numerical examples are provided to confirm the validity of the derived topological derivation and the proposed topology optimization method. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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