境界要素法の高精度化に関する研究 : 第5報,非圧縮粘性流体の積分方程式の正則化

概要

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It has been found that the boundary integral equations for the field functions such as those of potential and displacement can be regularized by introduction of their relative quantities. This paper intends to extend this regularization technique to the problems of incompressible viscous flow. It is shown that the basic boundary integral equation of the velocity is regularized by superposing a particular solution of the uniform flow upon the conventional integral equation. In the same way, internal equations for the velocity and the pressure are also regularized. These new equations derived here give accurate numerical results in computing not only the velocity but also the pressure. In addition, this approach is shown to be successful for deriving the integral equation for the boundary pressure which has to date not been included among the conventional equations. Through two-dimensional examples, these new equations are verified to be valid, and applicability of the present regularization technique is shown.
一般社団法人日本機械学会の論文
1995-06-25