边界元方法模拟二维势流问题时角点处处理方法的研究

TREATMENT OF THE CORNERS IN THE SIMULATION OF 2-D POTENTIAL PROBLEMS BY THE BEM

研究了用三节点等参曲线单元时边界元方法模拟二维势流问题中角点处法向量不连续的处理方法.该方法的核心思想是在任意一点处速度矢量是唯一确定的且在角点处速度矢量的方向是已知的.该方法的特点是不改变所求解的线性方程组的大小,不降低计算精度.通过模拟二维平行管道中直匀流绕圆柱的流动验证了该方法的可行性.

The treatment of the normal discontinuity at corners in the simulation of 2-D potential problems by the boundary element methodemploying the three-nodded curvilinear isoparametric element is studied.The main idea is that at an arbitrary point the velocity is definite andat the corners the direction of the velocities are known.The merits of this method are that the size of the linear equation system remains nearly unchanged and the precision is high enough.The method is finally verified through the simulation of a uniform stream past a rigid cylinderintwo parallel flat plates.