| 研究開始時の研究の概要 |
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.
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| 研究実績の概要 |
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.
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