2023 Volume 79 Issue 15 Article ID: 22-15029
When performing numerical calculations of incompressible density currents, it is important to use effective preconditioning for the pressure Poisson equation in order to reduce computation time. In the C-HSMAC method, which is a fluid calculation method, the incompressibility condition, which is important for obtaining valid calculation results, can be satisfied with high accuracy by iteratively solving the pressure Poisson equation at each time step. In this paper, the effect of using preconditioned Bi-CGSTAB methods for solving the pressure Poisson equation in the C-HSMAC method is discussed. As a result, it was confirmed that the preconditioning can reduce the computation time. In some cases, the number of iterations of the C-HSMAC method was smaller than that of other methods when the Multigrid method was used as a preconditioner. It is possible to expect not only a reduction in the computation time for a single iteration of the pressure Poisson equation, but also a reduction in the computation time due to the reduced number of iterations of the C-HSMAC method.
