Multicolored Poisson Solver for Fluid Flow Problems
We propose the multicolored Poisson solver suited to vector computing. This solver is designed for solving the Poisson’s equation which has a large sparse 19-points FDM (Finite Difference Method) coefficient matrix in the 3-D generalized coordinate system. Moreover this multicolored technique can be extended to the solvers for sparse 13 and 25-points FDM coefficient matrices which arise from the Navier-Stokes equations, in the 2-D and 3-D generalized coordinate system. We discuss the applicability of the present solver to the unsteady flow problem around an obstacle at high Reynolds number.
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