Differentiable CFD and application based on Lattice Boltzmann Method

Abstract

For the topology optimization design problem (TO) in fluid mechanics, this paper designs a topology optimization design method based on the Lattice Boltzmann Method (LBM). The backward gradient of the flow field is obtained using differentiable algorithms, and the topology is used to optimize the topology structure. The present report selects a typical optimization problem of surface drag, including a representative problem of reduction of resistance, and verifies the algorithm. The analysis is focused on the cases of obstacles, and the results show that the present method can effectively optimize the topology structure in the flow field, with the potential to improve the design efficiency.