寒区大坝温度场和渗流场耦合问题的非线性数值模拟

Numerical simulation for the coupled problem of temperature and seepage fields in dams located in cold area

本文首先根据热传导理论和渗流理论 ,提出了带相变温度场和渗流场耦合问题的数学力学模型和控制微分方程 ,然后应用伽辽金法导出了这一问题的有限元公式 ,最后给出了一个考虑了渗流影响的寒区大坝温度场的计算实例 .该例表明渗流场对寒区大坝的温度场影响很大 ,在寒区大坝的设计时应充分考虑这一因素的影响 .

A mathematical model and the governing differential equations of the coupled problem of temperature and seepage fields with phase change are derived on the basis of heat transfer and seepage theory.The finite element formulae of this problem are obtained from Galerkin's method.An illustrative example of the temperature field in a dam located in cold region is provided.It shows that the effect of seepage field on temperature field is remarkable.Consequently,this factor must be considered in the design of dams in cold area.