非圧縮性流体に対するコロケート格子を用いた陰的計算手法に関する考察

抄録

An implicit numerical algorithm (C-ISMAC method), which is based on an implicit-SMAC method in the staggered grid, has been proposed for incompressible flows with the collocated grid system. It has been shown that a CBP (Cell-Boundary Pressure) scheme, which utilizes Pⁿ on cell boundaries in the prediction stage of the MAC method, is effective to deal with the pressure field. Taking account of this result, some distinctive treatments for the pressure ariable were employed in developing the C-ISMAC method. As a result of the computations, it was shown that the C-ISMAC method enables us to use higher-order schemes for spatial discretization as well as to decrease the necessary computational time.