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

槇原 孝文, 三好 市朗, 棚橋 隆彦

doi:10.1299/kikaib.66.650_2513

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

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書誌事項

タイトル別名

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

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.