水热耦合运移方程的有限元求解技术研究

Research on the Technique for Water and Heat Coupling Movement Equations by Finite Element Method

应用有限元算法，对ＳＰＡＣ系统中的水分运动方程和温度方程分别进行数值求解。在算法设计过程中，根据实际情况，对土层深度采用了非均匀划分方法；并且将方程中的耦合项也转化为积分运算，既避免了求导数运算，又方便了边界条件的处理；另外，为改善计算精度，在总体上实行了迭代。最后，用具体例子进行了实际计算，效果良好。

This paper applies the finite element method to water and heat equations in SPAC system. By dividing the soil depth into nonhomogeneous grids and changing the coupling term into integral form, derivation computation is avoided and the boundary value condition can be treated more easily.Furthermore, the overall iteration is used when the equations are solved, so the accuracy of the result is improved to some extent.