流体問題を対象としたトポロジー最適化における離散ボルツマン方程式に基づく感度解析手法

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  • リュウタイ モンダイ オ タイショウ ト シタ トポロジー サイテキ カ ニ オケル リサン ボルツマン ホウテイシキ ニ モトズク カンド カイセキ シュホウ
  • SENSITIVITY ANALYSIS BASED ON DISCRETE BOLTZMANN EQUATION IN TOPOLOGY OPTIMIZATION FOR FLUID PROBLEMS

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Abstract

This paper proposes a methodology for sensitivity analysis in fluid dynamics problems based on the use of the discrete Boltzmann equation, in which high accuracy boundary conditions are introduced in the topology optimization using the lattice Boltzmann method. In the proposed method, the lattice Boltzmann method, an explicit scheme that can be formulated as a simple numerical algorithm suitable for parallel computation, is used to solve the state and adjoint fields. Numerical examples of a flow channel design problem are provided to confirm the validity of the proposed method.

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計算数理工学論文集. 14:67-72 (2014)

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