中文摘要：

本文考察了非饱和水流问题模型方程的守恒烈迎风差分法．我们基于有限体积方法建立的非饱和流动的守恒形式，分别提出了一阶和二阶迎风差分格式，并对差分格式进行了误差估计，给出了收敛性定理．最后，数值模拟验证了计算格式的有效性．

英文摘要：

Abstract In this paper, the conservative upwind finite difference methods for an unsaturated soil water flow equation are studied. Based on the conservative form of the flow equation, both one-order and two-order upwind finite difference scheme error estimates of the schemes are numerical simulations are shown to are proposed. The analyzed and convergence results are given. Finally, verify the efficiency of the proposed schemes.