CIP有限要素法を用いたRa=10^9における立方体キャビティ内自然対流解析(流体工学,流体機械)

概要

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There are many numerical methods in the computational fluid dynamics. In these methods, FEM (Finite Element Method) is easy to handle the complicated boundary, and it is suited to the analysis of the practical problems. In general, bilinear element is used in FEM and the discretization by this method corresponds to the 2nd-order central difference. Therefore, we can't obtain adequate accuracy in the case of the analysis which the effect of the non-linearity remarkably appears in. In the previous works, we analyzed the natural convection in a cubic cavity at 10^3≤Ra≤10^8 using CIP (Cubic Interpolated Pseudo-particle)-FEM. We showed the effectiveness of CIP-FEM through the work. It is difficult to analyze this flow at higher Rayleigh numbers Ra≥10^9 because numerical divergences and vibrations occur in the energy equation and quantity of the calculation becomes enormous. In this paper, we analyze the flow at Ra=10^9 using CIP-FEM, and verify the validity of the results basing on the previous work.
社団法人日本機械学会の論文
2002-02-25