境界要素法の高精度化に関する研究 : 第4報,非定常熱伝導問題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 report shows that the same techniques are also applied to regularize the integral equations for the unsteady heat conduction problems. Integral equations with relative quantity of potential and its derivatives are obtained by superposing a particular solution under the condition of time-independent uniform potential on the conventional integral equations. These new equations give accurate numerical results over the entire domain. In addition, since the integral equations for the boundary and the interior become continuous, this approach has succeeded in deriving the integral equation for a boundary temperature gradient which is absent hitherto in the conventional equations. Using two-and three-dimensional examples, the present integral equations are verified to be valid and useful.
一般社団法人日本機械学会の論文
1995-06-25