二维非饱和水流的全离散广义差分格式分析及其数值模拟

李焕荣

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (9) : 1163-1174.

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PDF(636 KB)
系统科学与数学 ›› 2010, Vol. 30 ›› Issue (9) : 1163-1174. DOI: 10.12341/jssms09254
论文

二维非饱和水流的全离散广义差分格式分析及其数值模拟

    李焕荣
作者信息 +

A Fully Discrete Generalized Difference Formulation and Numerical Simulation for Unsaturated Water Flow

    LI Huanrong
Author information +
文章历史 +

摘要

建立二维非饱和水流问题的全离散广义差分格式,讨论了全离散广义差分解的存在唯一性,并给出最优误差估计的证明.最后给出数值算例,验证方法的有效性.

Abstract

A numerical model for an unsaturated soil water flow equation is established with the generalized difference method. The existence and uniqueness of the fully discrete generalized difference solution are proved, and the error estimates of the fully discrete generalized difference solutions are analyzed. And finally, a numerical example is given.

关键词

非饱和水流 / 全离散 / 广义差分格式 / 数值模拟.

Key words

Unsaturated water flow / fully discrete / generalized difference / numerical simulation.

引用本文

导出引用
李焕荣. 二维非饱和水流的全离散广义差分格式分析及其数值模拟. 系统科学与数学, 2010, 30(9): 1163-1174. https://doi.org/10.12341/jssms09254
LI Huanrong. A Fully Discrete Generalized Difference Formulation and Numerical Simulation for Unsaturated Water Flow. Journal of Systems Science and Mathematical Sciences, 2010, 30(9): 1163-1174 https://doi.org/10.12341/jssms09254
中图分类号: 65N30    65M15   
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