广义共轭留数边界元法电除尘器电场解析

Calculation of the Electric Field Strength in an Electrostatic Precipitator by the Generalized Minimum Residual Algorithm for BEM

将广义共轭留数法引入于边界元法,改变矩阵方程与高斯消去法相结合的原传统结构,按照指数函数规律缩短解题时间。自由度数越多其效果越显著。仅就电除尘器电场和电势的小规模数值结果,与实验结果相符。证明这种方法是有效的,计算速度比传统的边界元方法快两倍。

In this paper, the generalized minimum residual algorithm is applied to the boundary element method. The Gauss' elimination method is charged for solving system of equations by the generalized minimum residual algorithm. The calculating time is shorten in the form of exponential function. The more number of DOF is given, the more efficiency is obtained. In the small-scale calculation, the electric field strength and electric potential are evaluated in the electrostatic precipitator. The numerical results are closer agreement with experimental data and the calculating velocity in this method is two times faster than the traditional boundary element method. This method is effective.