Large-scale topology optimization incorporating local-in-time adjoint-based method for unsteady thermal-fluid problem

This note briefly reports on the applicability of the local-in-time (LT) adjoint-based method to a large-scale topology optimization problem with unsteady thermal-fluid. The basic idea of the LT method is to divide a time-dependent optimization problem into reasonable subproblems to reduce memory cost. We demonstrate that the proposed method solves the large-scale topology optimization problem by incorporating the LT method, the lattice Boltzmann method, and parallel computing.