任意网格差分法及其在电接触问题中的应用

The Finite Difference Method at Arbitrary Meshes and Its Application in electric Contacts

本文提出一种求解平面非线性热传导问题的任意网格差分格式,并成功地利用电路分析中发展起来的稀疏矩阵消去法求解非对称差分方程组。本文方法可适应任意复杂区域,具有通用性强、格式简单,计算精度高,计算量少等特点。

A new difference scheme at arbitrary grids was presented and applied to nonlinear analysis of transient heat Conduction. The method was completely general with respect to complex bodies. Temperature or heat flux boundary conditions may be specified at any point within the finite difference system. A elimilation method of sparse matyix was used to solve the unsymmetric difference equation. With our formulations the accuracy of method with irregular meshes Could be raised. Calculation shows that the method was efficient.