【作者】 徐岗； 王毅刚； 胡维华；

【Author】 Xu Gang,Wang Yigang,Hu Weihua (College of Computer Science and Technology,Hangzhou Dianzi University,Hangzhou 310018,China)

【机构】 杭州电子科技大学计算机学院；

【摘要】 在CAD模型的性能模拟分析过程中,经常需要对计算域模型进行细化以提高模拟的精度.针对等几何分析这一新兴的模拟分析方法,提出了一种新的细化方法,称之为r-p型细化方法.该细化方法包括两个步骤:首先通过极小化后验误差估计,对初始计算域的内部控制顶点的位置进行优化(即r型细化);然后对通过r型细化得到的计算域模型进行升阶操作以增加自由度(即p型细化).本文将r-p型细化方法应用于二维热传导问题的等几何模拟分析,通过实例验证了r-p型细化方法在等几何分析中的有效性,并与经典的h型细化方法进行了比较.更多还原

【Abstract】 In the simulation and analysis process of CAD models,some refinements operation often should be performed to improve the simulation accuracy.In this paper,we propose a new refinement method called r - p -refinement for isogeometric analysis.There are mainly two steps in the proposed method:firstly,we optimize the replacement of inner control points of initial computational domain by minimizing posteriori error estimation(r -refinement);secondly,the degree elevation is performed for the computational domain obtained in the first step to increase the degree of freedom(p -refinement).The proposed r - p -refinement method is applied in the isogeometric analysis of two dimensional heat conduction problem.The experimental results show the efficiency of r-p -refinement in isogeometric analysis,and comparison examples with h -refinement are also given.更多还原