有限体积法在二维稳态对流扩散方程中的稳定性分析  

Stability Analysis in FVM on Two-dimensional of Steady-state Convection-diffusion Equations

作　　者：赵文娟[1,2] 李春光[3] 杨程[3] 

机构地区：[1]宁夏大学土木与水利工程学院,宁夏银川750021 [2]宁夏节水灌溉与水资源调控工程技术研究中心,宁夏银川750021 [3]北方民族大学土木工程学院,宁夏银川750021

出　　处：《安徽农业科学》2014年第35期12413-12414,12417,共3页Journal of Anhui Agricultural Sciences

基　　金：国家自然科学基金资助项目(91230111);北方民族大学科学研究资助项目(2014XYZ06)

摘　　要：基于非饱和土壤水盐运移模型属于对流扩散方程,将有限体积法应用到求解二维稳态对流扩散问题中。模拟结果表明,采用该数值方法在细密网格下可计算得到高精度的数值解,在稀疏网格条件下数值解与精确值吻合较好且稳定性强。这说明采用有限体积法模拟计算二维对流扩散方程是可行的,并且可将该方法应用到求解非饱和土壤水盐运移模型中。Based on the model of unsaturated soil water and salt is convection-diffusion equation,this paper sets out to use a good numerical method-Finite Volume Method （FVM） simulated in two-dimensional of steady-state convection-diffusion equations.Numerical examples show that the numerical methods can be calculated with good agreement and strong stability whatever in the fine grid or the sparse grid conditions.It is feasible to use FVM to simulate the two-dimensional convection-diffusion equation,it can be applied to solve the unsaturated soil water and salt transport model.

关 键 词：有限体积法 对流扩散方程 二维 水盐运移 

分 类 号：S152.7[农业科学—土壤学]