双互易杂交边界点法参数及域内节点分布  

Parameter and arrangement of domain nodes for dual reciprocity hybrid boundary node method

作　　者：樊志华[1] 

机构地区：[1]杭州电子科技大学机械工程学院,浙江杭州310018

出　　处：《浙江大学学报（工学版）》2011年第7期1265-1268,共4页Journal of Zhejiang University：Engineering Science

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.

关 键 词：无网格法 双互易杂交边界点法 自由参数 域内节点 

分 类 号：O241[理学—计算数学]