快速杂交边界点法在水坝热传导分析中的应用  

Application of fast hybrid boundary node method to heat conduction in concrete dams

作　　者：宋敏[1] 覃先云[1] 张见明[1] 何建平[2] 

机构地区：[1]湖南大学汽车车身先进设计与制造国家重点实验室,湖南长沙410082 [2]中国水电顾问集团中南勘测设计研究院,湖南长沙410014

出　　处：《水利水电科技进展》2010年第1期27-29,34,共4页Advances in Science and Technology of Water Resources

基　　金：国家自然科学基金(10972074);国家高技术研究发展计划(863计划)(2008AA042507);教育部长江学者与创新团队发展计划(531105050037);湖南大学汽车车身先进设计制造国家重点实验室自主研究课题(60870003)

摘　　要：采用与快速多极算法(FMM)相结合的一种边界类型无网格法——杂交边界点法(HdBNM),以碾压混凝土为例进行多域稳态热传导分析。数值算例表明,快速杂交边界点法(FM-HdBNM)的计算精度在2%以内,求解过程效率不低于商业有限元软件。在考虑碾压混凝土中的多尺度构件(如冷却水管,其长度为其直径的几千倍)时,快速杂交边界点法因其对复杂几何模型的适应能力强而具有明显的优势,避免了像有限元那样将含有小构件的结构离散为网格模型时增大求解规模的问题。A new boundary type meshless method, hybrid boundary node method was employed to analyze the multi-domain steady-state heat conduction in roller compacted concrete dams combined with the fast multipole method. The numerical results demonstrate that the relative error of the fast hybrid boundary node method is smaller than 2%, and the efficiency of its solving process is not lower than that of the commercial finite element software. As for the multi-scale components in the roller compacted concrete dams （such as the cooling water pipe, its length thousands of times its diameter）, the fast hybrid boundary node method has obvious superiority owing to its strong adaptability to complex geometrical models. Accordingly, it can avoid the additional solving task of the finite element methods due to the mesh refinement when the structure contains very small components.

关 键 词：杂交边界点法 快速多极算法 热传导分析 混凝土 

分 类 号：TV431[水利工程—水工结构工程]