Hybrid topology optimization for thermal fluid devices based on the lattice Boltzmann method

• Project/Area Number: 26820032
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Design engineering/Machine functional elements/Tribology
• Research Institution: Kyoto University
• Principal Investigator: Yamada Takayuki 京都大学, 工学(系)研究科(研究院), 助教 (30598222)
• Project Period (FY): 2014-04-01 – 2016-03-31
• Project Status: Completed (Fiscal Year 2015)
• Budget Amount: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000); Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2014: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
• Keywords: トポロジー最適化 / 最適設計 / 格子ボルツマン法 / ボルツマン方程式 / 感度解析 / 随伴変数法 / 計算力学 / レベルセット法 / 構造最適化 / 設計工学

Outline of Final Research Achievements

This research presents a topology optimization method that deal with two-phase fluid for the design of fluid devices. In the proposed method, the Lattice Boltzmann method (LBM) is employed to compute the multiphase flow field and the adjoint field during the topology optimization process. The topology optimization algorithm is constructed based on the level set method and the Finite Element Method (FEM). Additionally, several numerical examples are provided to demonstrate the effectiveness of the proposed topology optimization method.

Research Products

• [Journal Article] Topology optimization in thermal-fluid flow using the lattice Boltzmann method (2016)
  • Author(s): Kentaro Yaji, Takayuki Yamada, Masato Yoshino, Toshiro Matsumoto, Kazuhiro Izui, Shinji Nishiwaki
  • Journal Title: Journal of Computational Physics Volume: 307 Pages: 355-377
  • DOI: 10.1016/j.jcp.2015.12.008
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] 等密度の二相系格子ボルツマン法を用いたトポロジー最適化 (2015)
  • Author(s): 矢地謙太郎，山田崇恭，吉野正人，松本敏郎，泉井一浩，西脇眞二
  • Journal Title: 計算数理工学論文集 Volume: 15 Pages: 49-54
  • NAID: 120007101314
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] 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 (2014)
  • Author(s): 矢地謙太郎，山田崇恭，吉野正人，松本敏郎，泉井一浩，西脇眞二
  • Journal Title: 計算数理工学論文集 Volume: 14 Pages: 67-72
  • Peer Reviewed / Open Access
• [Presentation] 等密度の二相系格子ボルツマン法を用いたトポロジー最適化 (2015)
  • Author(s): 矢地謙太郎，山田崇恭，吉野正人，松本敏郎，泉井一浩，西脇眞二
  • Organizer: 計算数理工学シンポジウム2015
  • Place of Presentation: 伊勢市
  • Year and Date: 2015-12-04
• [Presentation] 二相系格子ボルツマン法を用いた流路デバイスのトポロジー最適化 (2015)
  • Author(s): 矢地謙太郎，山田崇恭，吉野正人，松本敏郎，泉井一浩，西脇眞二
  • Organizer: 日本機械学会2015年度年次大会
  • Place of Presentation: 札幌市
  • Year and Date: 2015-09-14
• [Presentation] Level set-based topology optimization using the lattice Boltzmann method considering two-phase fluid flows (2015)
  • Author(s): Yaji, K., Yamada, T., Yoshino, M., Matsumoto, T., Izui, K., Nishiwaki, S.
  • Organizer: World Congress on Structural and Multidisciplinary Optimisation (WCSMO-11)
  • Place of Presentation: シドニー，オーストラリア
  • Year and Date: 2015-06-07
  • Int'l Joint Research
• [Presentation] Level set-based topology optimization for a coupled thermal-fluid problem using the lattice Boltzmann method (2014)
  • Author(s): Yaji, K., Yamada, T., Yoshino, M., Matsumoto, T., Izui, K., Nishiwaki, S.
  • Organizer: 11th World Congress on Computational Mechanics (WCCM11)
  • Place of Presentation: Barcelona, Spain
  • Year and Date: 2014-07-20 – 2014-07-25
• [Presentation] トポロジー最適化の基礎と格子ボルツマン法への展開 (2014)
  • Author(s): 山田崇恭
  • Organizer: 第21回LBM研究会「格子ボルツマン法の基礎と応用に関する研究分科会」
  • Place of Presentation: 京都大学
  • Year and Date: 2014-06-27
  • Invited
• [Presentation] Topology optimization incorporating level set boundary expressions for incompressible viscous fluid using the lattice Boltzmann method (2014)
  • Author(s): Yaji, K., Yamada, T., Yoshino, M., Matsumoto, T., Izui, K., Nishiwaki, S.
  • Organizer: International Conference on Engineering and Applied Sciences Optimization (OPT-i)
  • Place of Presentation: Kos Island, Greece
  • Year and Date: 2014-06-04 – 2014-06-06