四次差分法による二次元自然対流問題の解析:第2報, 高レーリー数の場合

概要

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The natural convection problems in a square cavity have been analyzed as a bechmark problem for two dimensional thermal fluid flow analyses. In this paper, the fouth-order weighted average finite difference method(FWA(C)is used for the problems of Rayleigh numbers from 10^9 to 10^<11>. The FWA(C) algorithm is a combination of(a centered-difference)×W and(an upstream-difference)×(1-W). Here the W is a weighting parameter. Then, the FWA(C)is corrected by an artificial viscosity using the error analysis approach to improve its accuracy and stability. Non-uniform meshes are used to obtain a high accurate solution near the boundary. In these analyses, converged solutions are obtained for Rayleigh numbers from 10^9 to 10^<11>. Thus, the effectiveness of FWA(C)was confirmed by comparing our results with other research works.
社団法人日本機械学会の論文
2000-02-25