Mesh adaptive-based parametric level set method for the design of heat sink based on two-layer thermal-fluid system

In topology optimization of the microchannel heat sink, the minimum width of flow channels are constrained by the mesh size. To reduce the constraint of finite element mesh on the optimized structure, this paper proposes a mesh adaptive strategy which consists of finer ground mesh and coarser adaptive mesh for the heat sink design. The nodes of adaptive mesh are selected from ground mesh based on the structure of current iteration. The physical fields are solved on adaptive mesh, and design variables are updated on ground mesh. Besides, hyperparameters are introduced to control the adaptive degree, and their influence on optimized results is analysed in detail. Numerical experiments with simplified two-layer thermal-fluid model and parametric level set method show that the developed method outperforms traditional uniform mesh and is able to save large amounts of computing resources.