自然対流の有限要素法解析 : 流れ関数と渦度を用いる方法とペナルティー関数法を用いる方法

概要

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Two advanced methods for 2-dimensional finite element analysis of natural convection were developed and explained in this paper. The one method, based on the stream function-vorticity formulation, could get rid of numerical errors and constraint of perpendicular mesh subdivision by excluding a finite difference approximation of vorticity on no-slip boundaries. The other method, besed on primitive variables and the penalty function method, could reduce the number of independent variables by excluding pressure terms from basic equations, and economize computer memories considerably. A strong stabilizing effect of upwinding was observed in both methods. These methods were successfully applied to problems of natural convection around a horizontal hot cylinder.
日本シミュレーション学会の論文
1983-07-15