1 矩形要素を境界形状へ適合させるための直角三角形アダプター要素 : N回連続的微分可能なFEMモデルの流体解析への適用

概要

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In the previous paper, I proposed a C_n-continuity FEM model and studied a method to apply it to fluid dynamics. In that study, the stream function ψ is used as the argument function. The kinetic energy which is explained with ψ×(vorticity transport equation) is a differential equation of the 4th order. When the C_3-continuity model is applied to this equation, it means an application of the interior method, and its accuracy would be easily comprehended from the variance of the residual. In the previous paper, I proposed the applications of C_2 and C_1-continuity models in comparison with the result of the C_3-model. Consequently in this paper, I will study: (1) an adaptive method to refine only the problem region, (2) a trianglular adapter element that allows rectangular elements to conform to arbitrary boundary shapes, and (3) the application of the Gaussian numerical quadrature formula to the tri-angular element with a function of high degree.
一般社団法人日本建築学会の論文
1997-03-20