立方体箱内自然対流の遷移に関する数値的研究(<小特集>流れの不安定性・乱流遷移とその応用)

概要

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A difference method of spatially fourth order accuracy on the staggerd mesh points is applied to study the transition of natural convection in a cubic box heated from below with insulating side-walls. Special attentions are paid to the sensitivity of the solution on the degree of spatial resolution and transformation way of the coordinate variables to concentrate mesh points near the boundaries. As a preliminery study, numerical solutions of the cavity flow are computed. The present results agree with those ohtained by the methods with high accuracy reported in the previous paper. It is found that the natural convection which initially grows symmetrically with respect to the vertical center line, changes to a lateral single roll as time proceeds. The critical Rayleigh number is about 6 050 slightly smaller than 6 798 which has been obtained for the fixed boundary condition by use of the linear stability analysis (Mizushima et al. 1997).
一般社団法人日本機械学会の論文
2002-04-25