热传导问题的比例边界等几何Mortar方法  

A Scaled Boundary Isogeometric Mortar Method Applied to Heat Conduction Problems

作　　者：薛冰寒 林皋[1,2] 庞林[1,2] 胡志强[1,2] 

机构地区：[1]大连理工大学,海岸与近海工程国家重点实验室,大连116024 [2]大连理工大学,建设工程学部水利工程学院工程抗震研究所,大连116024

出　　处：《工程热物理学报》2016年第12期2645-2652,共8页Journal of Engineering Thermophysics

基　　金：国家自然科学基金重点项目(No.51138001)

摘　　要：将比例边界等几何Mortar方法用于求解热传导问题。该方法可将全域分解为若干子域,针对每个子域分别建模和剖分网格,交界面网格无需逐点匹配;各子域交界面之间的连续条件可被Mortar条件满足;只需对子域的边界采用NURBS基函数进行等几何建模与离散,使问题降低一维,并避免了几何模型与计算模型之间的误差。数值算例表明该方法具有收敛性有保证,计算精度高的特点。The scaled boundary isogeometric mortar method is applied in solving heat conduction problems. In this method, the full domain was decomposed to several subdomains. Sub-domains were designed and discretized independently, so the meshes across the interface are no need to match point by point. The continuity condition across the non-conforming interface was satisfied by applying the Mortar condition. Only the boundary of sub-domains need to be designed and discretized by the NURBS function, the spatial dimension is reduced by one. The deviation between geometry model and computing model is eliminated. The numerical results validate the convergence and accuracy of the proposed method.

关 键 词：热传导 比例边界等几何分析 Mortar方法 非匹配网格 

分 类 号：TK123[动力工程及工程热物理—工程热物理] O241[动力工程及工程热物理—热能工程]