摘要
为了解决双互易杂交边界点法推广应用中存在的障碍和缺点,如自由参数过多、域内节点数量及分布无规律可循等缺点,选取不同的有代表性的算例,分别研究双互易杂交边界点法自由参数的选择、自由参数与精度之间的关系、域内节点的布置数量和位置与精度之间的关系等.通过理论分析和数值实验得出：子域半径的较佳取值为0.85,子域半径与形状参数的最佳比值为1.0~1.3;当域内节点数量与边界节点数量接近时,计算效率达到最大;域内节点宜较多地布置在平行于梯度大的方向上.
The dual reciprocity hybrid boundary node method（DHBNM） has some disadvantages,such as too many free parameters and no rule for number and location for domain nodes.Some related studies about the choose of free parameters of DHBNM,the relations between free parameters and precision and the number and location of domain nodes were conducted by choosing some representative examples in order to solve the problems of DHBNM.The theoretical results and the numerical results show that the radius of subdomain is 0.85,and the ratio between radius of subdomain and shape parameter is chosen as 1.0 to 1.3.The calculation efficiency arrive the maximum when domain node number is equal to boundary node number.Domain node is arranged parallel to the high gradient direction.
出处
《浙江大学学报（工学版）》
EI
CAS
CSCD
北大核心
2011年第7期1265-1268,共4页
Journal of Zhejiang University：Engineering Science
关键词
无网格法
双互易杂交边界点法
自由参数
域内节点
meshless method
dual reciprocity hybrid boundary node method（DHBNM）
free parameter
domain node
