Wetting Front Analysis of the Richards’ Equation with Impervious Boundary-Reference-Cited by-同舟云学术

Wetting Front Analysis of the Richards’ Equation with Impervious Boundary

Published:2018-09-25 Issue:6 Volume:19 Page:595-604
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:
Short-container-title:

Author:

Chen Xi¹,Dai Ying²

Affiliation:

1. College of Civil Engineering, Tongji University, Shanghai200092, China

2. School of Aerospace Engineering Applied Mechanics, Tongji University, Shanghai200092, China

Abstract

AbstractIt is analyzed the wetting front of the Richards’ equation (RE) for horizontal infiltration problem with impervious layer in a finite medium, and obtained an approximate analytical solution by the series expansion technique. The present approximation is suitable for arbitrary diffusivity in RE and applied to simulate the changes of saturation after the front pass through the impervious point. Two examples about power law diffusivity are analyzed to confirm the accuracy of present solution.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2017-0084/pdf

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