In the acoustic analysis of acoustic pipes with complex figure of cross-section, the finite element method (FEM) has been employed, and it is well known that the computational accuracy of FEM with the structured mesh is better than the unstructured mesh such as the Delauney method. We introduce an automatic mesh generation using the elliptic differential equation with orthogonal condition at the node, and propose a new algorithm with quasi optimality to make the structured mesh model for the pipe with complex figure. The simulation results show reasonable mesh generation for the complex ones.%任意の断面形状を有する音響管の数値解析では，有限要素法が用いられる.有限要素の形状は，断面上で正方形に近い構造メッシュに近いほど，解析精度が向上することが知られている.本論文では，任意断面に対して,メッシュの直交条件を付加したポアソン方程式を収束計算により高速に解く方法により，メッシュを自動生成するァルゴリムを考察し，シミュレーションにより有効性を示す.
展开▼
