Implicit Numerical Algorithm (C-ISMAC Method) for Free-Surface Flows with Collocated Grid System.

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  • 自由液面流れに対するコロケート格子を用いた陰的計算法(C‐ISMAC法)の適用性
  • ジユウ エキメン ナガレ ニ タイスル コロケート ゴウシ オ モチイタ インテキ ケイサンホウ C ISMACホウ ノ テキヨウセイ

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Abstract

An implicit numerical algorithm (C-ISMAC method), which is based on an implicit-SMAC method in the staggered grid, has been proposed for free-surface 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 variable were employed in developing the C-ISMAC method. As a result of the computations in cavity flows and free-surface flows, it was shown that the C-ISMAC method enables us to use higher-order spatial schemes as well as to decrease the necessary computational time.

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