HIGHER-ORDER IMPLICIT METHOD (C-ISMAC METHOD) FOR INCOMPRESSIBLE FLOWS WITH COLLOCATED GRID SYSTEM

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  • USHIJIMA Satoru
    社団法人土木学会 京都大学大学院環境地球工学専攻
  • NEZU Iehisa
    社団法人土木学会 京都大学大学院環境地球工学専攻

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  • 陰解法を用いたコロケート格子による高次精度の流体解析手法の提案
  • インカイホウ オ モチイタ コロケート ゴウシ ニ ヨル コウジ セイド ノ リュウタイ カイセキ シュホウ ノ テイアン

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Abstract

An implicit numerical algorithm (C-ISMAC method) has been proposed for incompressible flows with a collocated grid system. The C-ISMAC method, which is based on an implicit SMAC method proposed for staggered grid system, enables us to utilize higher-order schemes for discretization as well as to largely decrease the necessary computational time. This method was applied to cavity flows, incompressible flows in an enclosed area and free-surface flows with a fifth-order QSI scheme for convection terms. As a result, it was shown that the computational speed becomes two to five times faster than a usual explicit method and that the computational accuracy of the QSI scheme is still preserved in the C-ISMAC method.

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