定常非圧縮性ナビエ・ストークス方程式の曲線座標格子に適用できる効率的差分スキーム

概要

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An implicit time-marching finite-difference scheme for solving the steady incompressible Navier-Stokes equations is proposed. This scheme is based on the SMAC method for the curvilinear coordinate grid, where the delta-form approximate-factorization and the flux vector splitting techniques are applied, and some upstream-difference schemes and a staggered grid are also employed to suppress spurious error and numerical instabilities, especially for high Reynolds number flows. Numerical results for 2-D duct flow over a backward-facing step are shown, and compared with experimental data and existing numerical results to inspect the validity of the present scheme. The convergence rate to a steady state solution is improved several times in comparison with the explicit scheme, showing the present scheme to be very efficient.
一般社団法人日本機械学会の論文
1990-05-25