自然对流散热器的大规模三维拓扑优化
Large scale three-dimensional topology optimisation of heat sinks cooled by natural convection
摘要：
本文提出了基于密度的拓扑优化方法在自然对流冷却三维散热器设计中的应用。控制方程是稳态不可压缩的纳维-斯托克斯方程，通过Bousinessq近似耦合到热对流扩散方程。完全耦合的非线性多物理场系统的解决使用稳定三线性等阶有限元在一个并行的框架，允许优化的大规模问题的顺序为40-330万状态自由度。流动被假定为层流，并提出了几个优化设计的Grashof数之间的$10^3$和$10^6$。有趣的是，观察到优化设计中的分支数量随着Grashof数的增加而增加，这与二维优化设计相反。
英文摘要：
This work presents the application of density-based topology optimisation to the design of three-dimensional heat sinks cooled by natural convection. The governing equations are the steady-state incompressible Navier-Stokes equations coupled to the thermal convection-diffusion equation through the Bousinessq approximation. The fully coupled non-linear multiphysics system is solved using stabilised trilinear equal-order finite elements in a parallel framework allowing for the optimisation of large scale problems with order of 40-330 million state degrees of freedom. The flow is assumed to be laminar and several optimised designs are presented for Grashof numbers between $10^3$ and $10^6$. Interestingly, it is observed that the number of branches in the optimised design increases with increasing Grashof numbers, which is opposite to two-dimensional optimised designs.
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