Numerical Scheme of Flow Analysis with Non-Rectangular Mesh

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  • 非直交格子を用いた湯流れ解析の数値計算法
  • ヒ チョッコウ コウシ オ モチイタ ユナガレ カイセキ ノ スウチ ケイサン

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Abstract

  The numerical algorithm for solving the incompressible viscous flow with free surface is being expanded to the generalized curvilinear coordinate system. With this algorithm, the staggered square grid in a transformed space is used, and the Navier-Stokes equations are solved by using Newton-Rapson method, diagonal dominant technique, and VOF method to analyze the free surface of the liquid. The pressure and the contravariant velocities are corrected by the iteration method. As numerical examples, the oscillation of the water induced by the gravity in a U-type duct, and the flow pattern of the water filling a square cavity with some blocks are simulated. In comparison with the experimental data by image processing, the numerical result of the flow pattern in the cavity shows a good agreement qualitatively despite being a two dimensional calculation.

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