An efficient finite element solution of water infiltration in variably saturated soils

The convergence difficulty associated with solving the non-linearity of the Richards's equation is often encountered in numerical simulation of infiltration into dry soils driven by gravity. In previous work we proposed a simple approach to solve the gravity term for one-dimensional infiltratio...

Full description

Saved in:
Bibliographic Details
Published in2011 International Conference on Remote Sensing, Environment and Transportation Engineering pp. 5688 - 5691
Main Authors Xuebin Qi, Xiaoxian Zhang
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2011
Subjects
Conductivity
Equations
Finite element methods
Gravity
Mathematical model
multi-dimensional finite element solution
Newton method
Soil
test
variable saturated soils
Water infiltration
Online AccessGet full text
ISBN9781424491728
142449172X
DOI10.1109/RSETE.2011.5965644

Cover

More Information
Summary:The convergence difficulty associated with solving the non-linearity of the Richards's equation is often encountered in numerical simulation of infiltration into dry soils driven by gravity. In previous work we proposed a simple approach to solve the gravity term for one-dimensional infiltration, and test on a wide range of problems shows considerable improvement over the existing Picard and Newton methods. The purpose of this note is to explain how to extend the method to multi-dimensional finite element solution and demonstrate its superiority to the standard Picard and Newton methods.
ISBN:9781424491728
142449172X
DOI:10.1109/RSETE.2011.5965644