格子運動論スキームを用いたレベルセット法に基づくトポロジー最適化

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  • コウシ ウンドウロン スキーム オ モチイタ レベルセットホウ ニ モトズク トポロジー サイテキ カ
  • LEVEL SET-BASED TOPOLOGY OPTIMIZATION USING LATTICE KINETIC SCHEME

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Abstract

This paper presents a topology optimization method using the lattice kinetic scheme foruid dynamics problems. In the presented method, the optimization problem and its adjoint equation are formulated based on the Boltzmann equation, and the design sensitivities are precisely obtained without the use of matrix operations. Based on these formulations, we construct a level set-based topology optimization method incorporating a ctitious interface energy for the design of auid channel that minimizes the pressure drop. Furthermore, a three-dimensional numerical example is provided to conrm the validity of the presented method.

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計算数理工学論文集. 13:85-90 (2013)

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