2019
DOI: 10.3390/w11020371
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Modeling Two-Dimensional Infiltration with Constant and Time-Variable Water Depth

Abstract: Water infiltration is simulated by obtaining the time infiltrated depth evolution and humidity profiles with the numerical solution of the two-dimensional Richards’ equation. The contact time hypothesis is accepted in this study and used to apply a unique form on time of the water depth evolution in the solution domain (furrow), as boundary condition. The specific form of such evolution in time was obtained from results reported in the literature based on the internal numerical full coupling of the Saint-Venan… Show more

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Cited by 7 publications
(5 citation statements)
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“…The results of the proposed infiltration model have been compared with the outputs of numerical simulations using the Brooks and Corey based Richards' equation for a one-dimensional domain [41]. Infiltration occurs though the silty clay layer (5 m thick).…”
Section: Analysis Of Infiltration Processesmentioning
confidence: 99%
“…The results of the proposed infiltration model have been compared with the outputs of numerical simulations using the Brooks and Corey based Richards' equation for a one-dimensional domain [41]. Infiltration occurs though the silty clay layer (5 m thick).…”
Section: Analysis Of Infiltration Processesmentioning
confidence: 99%
“…Likewise, water infiltration has been used to calculate infiltrated depth evolution and humidity profiles by coupling the Saint-Venant and Richards equations with furrow boundary conditions [17]. Considering this model, the relationship between the optimal irrigation flow and the length of the border for different types of soil was found [18].…”
Section: Introductionmentioning
confidence: 99%
“…For solving the 2D and 3D Richards equations, a variety of numerical algorithms based on the finite difference (FD) [3][4][5], finite element (FE) [6][7][8], and finite volume (FV) methods [9][10][11][12] have been proposed. Among the aforementioned methods applied for solving multi-dimensional flow problems, it is necessary also to distinguish coupled algorithms, such as the control-volume FD scheme [13], the mixed FE scheme [14][15][16], and the approach based on semi-discretization, in the form of the method of lines (MoL) and transversal method of lines (TMoL) [17].…”
Section: Introductionmentioning
confidence: 99%