An approximate analytical solution of Richards equation with finite boundary

Boundary value problems

Xi Chen¹  Ying Dai² 

[1] College of Civil Engineering, Tongji University, Shanghai, China;School of Aerospace Engineering and Applied Mechanicas, Tongji University, Shanghai, China

关键词: series expansion technique;    finite boundary;    approximate analytical solution;    Richards equation;    van Genuchten model;    35C10;    35K20;    76S05;   

DOI  :  10.1186/s13661-017-0893-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We apply a series expansion technique to estimate the water content distribution and front position in finite boundary conditions. We derive an approximate analytical solution of the Richards equation (RE) for the horizontal infiltration problem. The solution is suitable for arbitrary hydraulic diffusivity in water infiltration. Compared with the finite element method, two examples in power law diffusivity and van Genuchten model are shown to test the accuracy of present approximation.

【 授权许可】

CC BY