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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 of the calculation accuracy and efficiency of the temperature field in mass concrete with cooling water pipe during construction, a new composite element algorithm is proposed. The algorithm divides the concrete area around the cooling water pipe into the non-linear temperature zone (A zone) and the linear temperature zone (B zone), and considers the water temperature (water zone) in the pipe. According to the relationship between the temperature of concrete in A zone and the distance to the pipe wall and the functional of each zone, a new model of composite element with one concrete subunit and one water subunit is derived. The results show that the calculated results of the finite elements and the composite elements are in good agreement with each other. The maximum difference between the two methods under the adiabatic temperature rise of 50 ℃ or 60 ℃ is within 2 ℃, Area A radius of the value of the. In terms of computational efficiency, the total computational complexity of the composite elements in this study is 50% of the finite element. Compared with the original unit model, the new algorithm can increase the calculation accuracy of the temperature field around the pipe without increasing the mesh density, and the computational efficiency is high.