Approximate analytical solutions for one-dimensional soil water movement equation with arbitrary initial conditions

2022 ◽  
Vol 218 ◽  
pp. 105314
Author(s):  
Lijun Su ◽  
Fangliang Liu ◽  
BeiBei Zhou ◽  
Wanghai Tao ◽  
Yan Sun ◽  
...  
Keyword(s):  
Soil Water ◽  
Analytical Solutions ◽  
Water Movement ◽  
Initial Conditions ◽  
One Dimensional ◽  
Approximate Analytical Solutions ◽  
Soil Water Movement

A one-dimensional model for simulating soil water movement

2001 ◽  
Vol 6 (1) ◽  
Author(s):  
J.D. Owusu-Sekyere ◽  
E.A. Baryeh ◽  
S. Peng ◽  
X.H. Shao
Keyword(s):  
Soil Water ◽  
Water Movement ◽  
Dimensional Model ◽  
One Dimensional ◽  
Soil Water Movement

Modeling Soil Water Movement in Pedostructure

2006 ◽  
Author(s):  
Rabi H. Mohtar ◽  
Erik Braudeau
Keyword(s):  
Soil Water ◽  
Water Movement ◽  
Soil Water Movement

Simulating soil-water movement under a hedgerow surrounding a bottomland reveals the importance of transpiration in water balance

2008 ◽  
Vol 22 (5) ◽  
pp. 577-585 ◽  
Author(s):  
Z. Thomas ◽  
J. Molénat ◽  
V. Caubel ◽  
C. Grimaldi ◽  
P. Mérot
Keyword(s):  
Water Balance ◽  
Soil Water ◽  
Water Movement ◽  
Soil Water Movement

scholarly journals Discontinuous finite volume element method of two-dimensional unsaturated soil water movement problem

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Fan Chen ◽  
Zhixiao Xu
Keyword(s):  
Soil Water ◽  
Finite Volume ◽  
Unsaturated Soil ◽  
Water Movement ◽  
Optimal Error Estimate ◽  
Two Dimensional ◽  
Fully Discrete ◽  
Volume Method ◽  
Movement Problem ◽  
Soil Water Movement

AbstractIn this paper, a numerical approximation method for the two-dimensional unsaturated soil water movement problem is established by using the discontinuous finite volume method. We prove the optimal error estimate for the fully discrete format. Finally, the reliability of the method is verified by numerical experiments. This method is not only simple to calculate, but also stable and reliable.

Unsaturated soil water movement in hysteretic and water repellent field soils

1996 ◽  
Vol 184 (3-4) ◽  
pp. 153-173 ◽  
Author(s):  
J.C. van Dam ◽  
J.H.M. Wösten ◽  
A. Nemes
Keyword(s):  
Soil Water ◽  
Unsaturated Soil ◽  
Water Movement ◽  
Water Repellent ◽  
Field Soils ◽  
Soil Water Movement

Unsaturated zone tritium and chlorine 36 profiles from southern Australia: Their use as tracers of soil water movement

1994 ◽  
Vol 30 (6) ◽  
pp. 1709-1719 ◽  
Author(s):  
P. G. Cook ◽  
I. D. Jolly ◽  
F. W. Leaney ◽  
G. R. Walker ◽  
G. L. Allan ◽  
...  
Keyword(s):  
Soil Water ◽  
Unsaturated Zone ◽  
Water Movement ◽  
Chlorine 36 ◽  
Soil Water Movement

Effects of the micro-scale advection on the soil water movement in micro-irrigated fields

2013 ◽  
Vol 32 (2) ◽  
pp. 159-167 ◽  
Author(s):  
Kozue Yuge ◽  
Mitsumasa Anan ◽  
Yoshiyuki Shinogi
Keyword(s):  
Soil Water ◽  
Water Movement ◽  
Micro Scale ◽  
Soil Water Movement

scholarly journals Hermite Radial Basis Collocation Method for Unsaturated Soil Water Movement Equation

2018 ◽  
Vol 2018 ◽  
pp. 1-19 ◽  
Author(s):  
Jiao Wang ◽  
Lijun Su ◽  
Xinqiang Qin
Keyword(s):  
Soil Water ◽  
Collocation Method ◽  
Unsaturated Soil ◽  
Nonlinear Diffusion ◽  
Neumann Boundary Condition ◽  
Water Movement ◽  
Neumann Boundary ◽  
Diffusion Term ◽  
Radial Basis ◽  
Soil Water Movement

Due to the nonlinear diffusion term, it is hard to use the collocation method to solve the unsaturated soil water movement equation directly. In this paper, a nonmesh Hermite collocation method with radial basis functions was proposed to solve the nonlinear unsaturated soil water movement equation with the Neumann boundary condition. By preprocessing the nonlinear diffusion term and using the Hermite radial basis function to deal with the Neumann boundary, the phenomenon that the collocation method cannot be used directly is avoided. The numerical results of unsaturated soil moisture movement with Neumann boundary conditions on the regular and nonregular regions show that the new method improved the accuracy significantly, which can be used to solve the low precision problem for the traditional collocation method when simulating the Neumann boundary condition problem. Moreover, the effectiveness and reliability of the algorithm are proved by the one-dimensional and two-dimensional engineering problem of soil water infiltration in arid area. It can be applied to engineering problems.

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