寒区水库冰盖厚度增长数值模拟研究

Study on numerical simulation of growth in thickness of ice caps in reservoirs of cold regions

为了研究寒区水库冰盖厚度的增长情况,分析了前人对寒区水库冰盖热力模式及冰厚增长数值模拟研究的方法,对一维热传导方程和一维单相Steften问题所采用的数值解法进行了改进,采用隐式的Crank-Nicolson格式进行离散,精度提升到二阶精度,且具有无条件稳定性。并根据黑龙江省大庆红旗泡水库冰盖的温度、厚度等观测数据,进行了厚度数值模拟。模拟结果表明:所改进的数值模拟方法及其算法是正确的、有效的。

In order to study the growth in the thickness of the ice caps in the reservoirs of cold regions, the authors have analyzed predecessors＇ methods of the heat model and the numerical simulation of the growth in the thickness of the ice caps in the reservoirs of cold regions,and have made the improvements on the numerical solutions that are adopted in the one - dimensional heat transfer equation and the one - dimensional single - phase Steften problem,adopting implicit Crank - Nicolson format to discrete them,with the precision upgraded to the second order accuracy and provided with unconditional stability.And they carry out numerical simulations of the thickness according to the observed data of the temperature and thickness of the ice caps in the Hongqipao reservoir in Daqing in Heilongjiang province.The result of the simulation shows that the improved methods of the numerical simulations and their computing methods are correct and effective..