Large-scale multiphysics topology optimization for thermal and fluid systems

• Project/Area Number: 21J13418
• Research Category: Grant-in-Aid for JSPS Fellows
• Allocation Type: Single-year Grants
• Section: 国内
• Review Section: Basic Section 18030:Design engineering-related
• Research Institution: Kyoto University
• Principal Investigator: 李 昊 京都大学, 工学研究科, 特別研究員(DC2)
• Project Period (FY): 2021-04-28 – 2023-03-31
• Project Status: Completed (Fiscal Year 2022)
• Budget Amount: ¥1,500,000 (Direct Cost: ¥1,500,000); Fiscal Year 2022: ¥700,000 (Direct Cost: ¥700,000); Fiscal Year 2021: ¥800,000 (Direct Cost: ¥800,000)
• Keywords: lift-drag / feature rich design / h-adaptation / length scale control / local volume constraint / distributed computing / topology optimizaion / parallel computing / mesh adaptation / thermal fluid problem / distributed elements / body-fitted mesh / level set method

Outline of Research at the Start

Topology optimization (TO) is well-known as an efficient computational method for structural design due to its high degree of flexibility. We propose a new framework for the large-scale TO method for the thermo-fluid-structure system design which is efficient, open-source and easy-to-use. The cornerstone of our methodology is the reaction-diffusion equation (RDE) based level-set method. We use efficient mesh evolution strategy, preconditioner techniques for solving large-scale finite element system. We show a variety of engineering examples: architecture, fluid-structure-interation, heat sink.

Outline of Annual Research Achievements

Continuing last year's work, we further introduce the distributed unstructured mesh adaptation into the fluid-related topology optimization which is a first step in that direction. A lift-drag optimization problem and a classical minimal power dissipation problem are formulated for comparison and for accessing the constructed framework. Furthermore, motivated by the need for porous structures in the design of biodegradable implants, as well as for the diverse and competitive designs in architecture, we build upon the recent advances in the single-scale (macroscopic) topology optimization (TO) approach and propose a level-set method (LSM) for the design of lattice structures. The key idea is to introduce the maximum length-scale constraint, realized by a PDE filter, into the reaction-diffusion equation (RDE)-based LSM which can end up with a feature-rich shape, starting from scratch.

Research Progress Status

令和4年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

令和4年度が最終年度であるため、記入しない。

Research Products

• [Int'l Joint Research] Sorbonne Universite/LIP6(フランス)
• [Int'l Joint Research] University of Southern Denmark(デンマーク)
• [Int'l Joint Research] China Academy of Engineering Physics(中国)
• [Int'l Joint Research] University of Shanghai/for Science and Technology(中国)
• [Int'l Joint Research] Shanghai Jiaotong University(中国)
• [Journal Article] Reaction-diffusion equation driven topology optimization of high-resolution and feature-rich structures using unstructured meshes (2023)
  • Author(s): Li, H., Yu, M., Jolivet, P., Alexandersen, J., Kondoh, T., Hu, T., Furuta, K., Izui, K., Nishiwaki, S.
  • Journal Title: Advances in Engineering Software Volume: 108 Pages: 103457-103457
  • DOI: 10.1016/j.advengsoft.2023.103457
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Maximization of the fundamental eigenfrequency using topology optimization based on multi-material level set method (2023)
  • Author(s): Nakayama, N., Li, H., Furuta, K., Nishiwaki, S., Izui, K.,
  • Journal Title: Mechanical Engineering Journal Volume: 10 Issue: 2 Pages: 22-00353-22-00353
  • DOI: 10.1299/mej.22-00353
  • ISSN: 2187-9745
  • Peer Reviewed / Open Access
• [Journal Article] Multiscale topology optimization of biodegradable metal matrix composite structures for additive manufacturing (2023)
  • Author(s): Zhang, H., Ding, X., Guo, H., Xu, S., Li, H., Nishiwaki, S., Chen, Y., Takezawa, A.
  • Journal Title: Applied Mathematical Modelling Volume: 114 Pages: 799-822
  • DOI: 10.1016/j.apm.2022.10.019
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Improved thermal performance of a serpentine cooling channel by topology optimization infilled with triply periodic minimal surfaces (2022)
  • Author(s): Yeranee, K., Rao, Y., Li, Y., Li, H.
  • Journal Title: Energies Volume: 15 Issue: 23 Pages: 8924-8924
  • DOI: 10.3390/en15238924
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Topology optimization for lift-drag problems incorporated with distributed unstructured mesh adaptation (2022)
  • Author(s): Li, H., Kondoh, T., Jolivet, P., Nakayama, N., Furuta, K., Zhang, H., Zhu, B., Izui, K., Nishiwaki, S.
  • Journal Title: Structural and Multidisciplinary Optimization Volume: 65 Issue: 8 Pages: 222-222
  • DOI: 10.1007/s00158-022-03314-w
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Topology optimization for maximizing linear buckling load based on level set method (2022)
  • Author(s): Ishida, N., Kondoh, T., Furuta, K., Li, H., Izui, K., Nishiwaki, S.
  • Journal Title: Mechanical Engineering Journal Volume: 9 Issue: 4 Pages: 21-00425-21-00425
  • DOI: 10.1299/mej.21-00425
  • ISSN: 2187-9745
  • Peer Reviewed / Open Access
• [Journal Article] Topology optimization of coated structures with layer-wise graded lattice infill for maximizing the fundamental eigenfrequency (2022)
  • Author(s): Hu, T., Wang, Y., Zhang, H., Li, H., Ding, X., Izui, K., Nishiwaki, S.
  • Journal Title: Computers & Structures Volume: 271 Pages: 106861-106861
  • DOI: 10.1016/j.compstruc.2022.106861
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Enhanced thermal performance of a pin-fin cooling channel for gas turbine blade by density-based topology optimization (2022)
  • Author(s): Yeranee, K., Rao, Y., Li, Y., Li, H.
  • Journal Title: International Journal of Thermal Sciences Volume: 181 Pages: 107783-107783
  • DOI: 10.1016/j.ijthermalsci.2022.107783
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] An integrated two-step strategy for an optimal design of liquid–cooled channel layout based on the MMC-Density approach (2022)
  • Author(s): Pan, S., Yu, M., Li, H., Li, Z., Reng, M., Gu, J., Shen, C.
  • Journal Title: Structural and Multidisciplinary Optimization Volume: 65 Issue: 8 Pages: 221-221
  • DOI: 10.1007/s00158-022-03315-9
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Robust topology optimization of biodegradable composite structures under uncertain degradation rates (2022)
  • Author(s): Zhang, H., Takezawa, A., Ding, D., Zhang, X., Xu, S., Li, H., Nozawa, S., Nishiwaki, S.
  • Journal Title: Composite Structures Volume: 291 Pages: 115593-115593
  • DOI: 10.1016/j.compstruct.2022.115593
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Optimal design of liquid-cooled uniform-temperature plate with hierarchical vein structure (2022)
  • Author(s): Meng, F., Ding, X., Li, H., and Xiong, M.
  • Journal Title: Journal of Mechanical Engineering Volume: 58 Issue: 22 Pages: 426-437
  • DOI: 10.3901/jme.2022.22.426
  • Peer Reviewed
• [Journal Article] Three-dimensional topology optimization of a fluid-structure system using body-fitted mesh adaption based on the level-set method (2022)
  • Author(s): Li Hao、Kondoh Tsuguo、Jolivet Pierre、Furuta Kozo、Yamada Takayuki、Zhu Benliang、Izui Kazuhiro、Nishiwaki Shinji
  • Journal Title: Applied Mathematical Modelling Volume: 101 Pages: 276-308
  • DOI: 10.1016/j.apm.2021.08.021
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Optimum design and thermal modeling for 2D and 3D natural convection problems incorporating level set‐based topology optimization with body‐fitted mesh (2022)
  • Author(s): Li Hao、Kondoh Tsuguo、Jolivet Pierre、Furuta Kozo、Yamada Takayuki、Zhu Benliang、Zhang Heng、Izui Kazuhiro、Nishiwaki Shinji
  • Journal Title: International Journal for Numerical Methods in Engineering Volume: 123 Issue: 9 Pages: 1954-1990
  • DOI: 10.1002/nme.6923
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Concurrent Topology Optimization of Composite Plates for Minimum Dynamic Compliance (2022)
  • Author(s): Zhang Heng、Ding Xiaohong、Ni Weiyu、Chen Yanyu、Zhang Xiaopeng、Li Hao
  • Journal Title: Materials Volume: 15 Issue: 2 Pages: 538-538
  • DOI: 10.3390/ma15020538
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Design of compliant mechanisms: An explicit topology optimization method using end-constrained spline curves with variable width (2022)
  • Author(s): Zhu Benliang、Wang Rixin、Liang Junwen、Lai Jianhao、Zhang Hongchuan、Li Hai、Li Hao、Nishiwaki Shinji、Zhang Xianmin
  • Journal Title: Mechanism and Machine Theory Volume: 171 Pages: 104713-104713
  • DOI: 10.1016/j.mechmachtheory.2021.104713
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Full-scale 3D structural topology optimization using adaptive mesh refinement based on the level-set method (2021)
  • Author(s): Li Hao、Yamada Takayuki、Jolivet Pierre、Furuta Kozo、Kondoh Tsuguo、Izui Kazuhiro、Nishiwaki Shinji
  • Journal Title: Finite Elements in Analysis and Design Volume: 194 Pages: 103561-103561
  • DOI: 10.1016/j.finel.2021.103561
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Explicit structural topology optimization using moving wide Bezier components with constrained ends (2021)
  • Author(s): Zhu Benliang、Wang Rixin、Wang Nianfeng、Li Hao、Zhang Xianmin、Nishiwaki Shinji
  • Journal Title: Structural and Multidisciplinary Optimization Volume: N/A Issue: 1 Pages: 53-70
  • DOI: 10.1007/s00158-021-02853-y
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Topology Optimization of Multi-material Compliant Mechanisms Using Node-density Interpolation Scheme (2021)
  • Author(s): Benliang Zhu, Xianmin Zhang, Hai Li, Rixin Wang, Min Liu, Hao Li
  • Journal Title: Journal of Mechanical Engineering Volume: 57 Issue: 15 Pages: 53-53
  • DOI: 10.3901/jme.2021.15.053
  • Peer Reviewed
• [Journal Article] Topology optimization of degradable composite structures with time‐changeable stiffness (2021)
  • Author(s): Zhang Heng、Takezawa Akihiro、Ding Xiaohong、Xu Shipeng、Li Hao、Guo Honghu
  • Journal Title: International Journal for Numerical Methods in Engineering Volume: 122 Issue: 17 Pages: 4751-4773
  • DOI: 10.1002/nme.6745
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Bi-material microstructural design of biodegradable composites using topology optimization (2021)
  • Author(s): Zhang Heng、Takezawa Akihiro、Ding Xiaohong、Xu Shipeng、Duan Pengyun、Li Hao、Guo Honghu
  • Journal Title: Materials & Design Volume: 209 Pages: 109973-109973
  • DOI: 10.1016/j.matdes.2021.109973
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] An Approach for Geometrically Nonlinear Topology Optimization Using Moving Wide-B?zier Components With Constrained Ends (2021)
  • Author(s): Zhu Benliang、Wang Rixin、Zhang Hongchuan、Li Hai、Liang Junwen、Zhang Xianmin、Li Hao、Nishiwaki Shinji
  • Journal Title: Journal of Mechanical Design Volume: 144 Issue: 1 Pages: 53-61
  • DOI: 10.1115/1.4051872
  • Peer Reviewed / Int'l Joint Research
• [Presentation] Optimum design and thermal modeling for 2D and 3D natural convection problems incorporating level set-based topology optimization with body-fitted mesh (2022)
  • Author(s): Li, H., Kondoh, T., Jolivet, P., et al.
  • Organizer: The 23rd Top Webinar
  • Invited
• [Presentation] Level-set based topology optimization of large-scale multiphysics systems incorporating mesh adaptation (2022)
  • Author(s): Li, H., Zhang, H., Ding, X., Hu, T., Nakayama, N., Kondoh, T., Jolivet, P., Yamada, T., Nishiwaki, S.
  • Organizer: Chinese Congress of Theoretical and Applied Mechanics
• [Presentation] Topology optimization of high resolution lattice structures using a PDE-filter (2022)
  • Author(s): Li, H., Yu, M., Alexandersen, J., Ishida, N., Kondoh, T., Furuta, K., Izui, K., Nishiwaki, S.
  • Organizer: 32th Conference of Design & Systems
• [Presentation] Topology optimization of thermal fluid-structure systems (2022)
  • Author(s): Li, H., Kondoh, T., Jolivet, P., Furuta, K., Zhang, H., Izui, K., Nishiwaki, S.
  • Organizer: 15th World Congress on Computational Mechanics & 8th Asian Pacific Congress on Computational Mechanics
  • Int'l Joint Research
• [Presentation] Level-set based topology optimization of multi-physics systems incorporating mesh adaptation (2022)
  • Author(s): Li, H., Kondoh, T., Jolivet, P., Furuta, K., Zhang, H., Yamada, T., Izui, K., Nishiwaki, S.
  • Organizer: Asian Congress of Structural and Multidisciplinary Optimization
  • Int'l Joint Research
• [Presentation] Reaction-Diffusion Equation-based Topology Optimization: a novel framework for 2D and 3D Thermal Fluid-Structure System Design (2021)
  • Author(s): Hao Li, Tsuguo Kondoh, Pierre Jolivet, Kozo Furuta, Takayuki Yamada, Kazuhiro Izui, and Shinji Nishiwaki
  • Organizer: 14th World Congress of Structural and Multidisciplinary Optimization
  • Int'l Joint Research
• [Presentation] Topology optimization of a thermo-fluid system and an eigenfrequency problem (2021)
  • Author(s): Hao Li, Nari Nakayama, Pierre Jolivet, Naoyuki Ishida, Kousei Wano, Tsuguo Kondoh, Kozo Furuta, and Shinji Nishiwaki
  • Organizer: FreeFEM Days
  • Int'l Joint Research
• [Presentation] Body-fitted topology optimization: a novel framework for optimal design and thermal modeling of full-scale 3D natural convection problems (2021)
  • Author(s): Hao Li, Tsuguo Kondoh, Pierre Jolivet, Kousei Wano, Kozo Furuta, Takayuki Yamada, Heng Zhang, Kazuhiro Izui, and Shinji Nishiwaki
  • Organizer: Annual meeting of the Japan Society for Industrial and Applied Mathematics
• [Remarks] Homepage of Hao Li
  • URL: https://www.x-mol.com/groups/lihao_kyotouni