三次元移流拡散方程式の有限要素解法における各種変形要素の精度評価 : (誤差解析手法によるアプローチ)

概要

論文の詳細を見る
The finite-element method is one of the widely used numerical methods for complex geometries. However, no research on the accuracy of various kinds of deformed elements used in the finiteelement analysis has been made thus far. In this study, the error analysis technique initially proposed by one of the authors is applied for three-dimensional convection-diffusion problems. Firstly, the Galerkin formulation and the modified Galerkin formulation are investigated. Then, the numerical accuracy of various kinds of deformed elements is evaluated theoretically. A regular tetrahedral element and nonuniform tetrahedral and hexahedral elements are investigated and we find that a regular tetrahedral element gives the highest accuracy. Finally, we show the general agreement between the error analyses and the numerical simulation results.
社団法人日本機械学会の論文
1997-02-25