含冷却水管的混凝土温度场复合单元新算法  

A new composite element algorithm for the temperature filed of concrete containing cooling pipe

作　　者：强晟[1] 吴超[1,2] 朱振泱[3] 

机构地区：[1]河海大学水利水电学院,江苏南京210098 [2]长江勘测规划设计研究院,湖北武汉430010 [3]中国水电顾问集团华东勘测设计研究院,浙江杭州310014

出　　处：《水利学报》2015年第6期739-748,共10页Journal of Hydraulic Engineering

基　　金：国家自然科学基金资助项目(51109071)

摘　　要：针对含冷却水管的大体积混凝土施工期温度场计算精度和效率的协调问题,提出了一种新的复合单元算法。该算法将冷却水管周围的混凝土区域分为非线性温度区(A区)、线性温度区(B区),并考虑管内水体温度(水区)。根据A区内的混凝土温度与到管壁距离的关系,以及各分区的泛函,导出了含一个混凝土子单元和一个水体子单元的复合单元新模型。算例表明,在计算精度方面,有限元与复合元对比计算得到的规律完全一致,在绝热温升50℃或60℃条件下两种方法的温度结果最大差异在2℃以内,该差异主要与A区半径的取值有关。在计算效率方面,本文算例中复合元的计算总耗时是有限元的50%。与原冷却水管复合单元模型相比,新算法可以在不增加网格密度的条件下,提高水管周围混凝土温度场的计算精度,且计算效率较高。Aiming at the coordination problem between the calculation accuracy and efficiency in the temperature simulation for mass concrete containing cooling pipe, a new composite element algorithm is pro- posed. The concrete around the cooling pipe is recognized as two regions which are a nonlinear temperature region （region A） and a linear temperature region （region B） separately. The water temperature in pipe seg- ment （region water） is considered as well. According to the relationship between concrete temperature in region A and the distance to pipe wall, additional with the functional analysis of every region, a new com- posite model including a concrete sub-element and a water sub-element was deduced. Numerical samples show that the temperature developments by finite element method and composite element method are abso- lutely same. The maximum numerical difference is in 2~C with an adiabatic temperature rise of 50~C or 60~C, which was caused mainly by the radius of region A. As for the efficiency, the total simulation time cost of composite element method is 50% of the finite element method for the sample in this paper. Com- pared with the former composite element model for cooling pipe, the proposed algorithm can improve the temperature field calculation aeeuracy of the concrete around pipe while no necessary to refine the mesh. And the computation efficiency is also satisfying.

关 键 词：冷却水管 混凝土 复合单元法 温度场 

分 类 号：TV315[水利工程—水工结构工程]