Nunuerical Analysis of Natural Convection in a Cubic Cavity using CIP-FEM.

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  • ＣＩＰ有限要素法を用いた立方体キャビティ内自然対流解析
  • CIP ユウゲン ヨウソホウ オ モチイタ リッポウタイ キャビティ ナイ シゼン タイリュウ カイセキ

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In numurical fluid analysis, high accuracy and upwinding are necessary for the convection term of the Navier-stokes equation because this term is non-linear. In general, bilinear element is used in FEM (Finite Element Method) and the discretization by this method corresponds to the 2nd-order central difference. As a result, we can't obtain adequate accuracy for high Reynolds number flow. Although many upwind methods have been proposed, we use CIP (Cubic Interpolated Pseudo-particle)-FEM in the present work, and analyze natural convection in a cubic cavity. This problem has been analyzed by many investigators. However, it is difficulut to analyze this flow at high Rayleigh numbers Ra≥107 because numerical divergences and vibrations occur in the energy equation. We analyze natural convection at 103≤Ra≤108 and show that the present scheme analyze this flow stably and is effective by comparing with other numerical results.

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