Abstract This work arises from the need of exploring new features for modeling and optimizing water consumption in irrigation processes. In particular, we focus on flow model unsaturated soils, accounting also a root uptake term, which is assumed to be discontinuos state variable. We investigate possibility accomplishing such optimization by computing steady solutions $$\theta$$ <mml:math xmlns...

to use soil hydrology processes (shp) models, which have increasingly extended during the last years, comprehensive knowledge about these models and their modeling approaches seems to be necessary. the modeling approaches can be categorized as either classical or non-classical. classical approaches mainly model the shp through solving the general unsaturated flow (richards) equation, numericall...

The steady groundwater flow of water to drains on a sloping bed is re-examined. Results from a number of solutions for the maximum watertable height (hm) for flow to drains on slopes are presented and compared with published HeleShaw model results and HYDRUS2D numerical model calculations. Numerical modelling shows that when the length of the slope (L)  < 50 m the ratio L/hm is affected by L (...

In this article, we present new random walk methods to solve flow and transport problems in saturated/unsaturated porous media, including coupled processes soils, heterogeneous systems modeled through hydraulic conductivity recharge fields, at the field regional scales. The numerical schemes are based on global algorithms (GRW) which approximate solution by moving large numbers of computational...

Recently, the nonlinearity continuation method has been used to numerically solve boundary value problems for steady-state Richards equation. The can be considered as a predictor-corrector procedure with simplest form which applied date having trivial, zeroth-order predictor. In this article, effect of more sophisticated predictor technique is examined. Numerical experiments are performed finit...

Abstract The Richards’ equation describes the flow phenomenon in unsaturated porous media and is essential to hydrology environmental science. This study evaluated numerical stability of two different forms equation. Sensitivity analyses were performed investigate control parameters results show that h -form has better applicability for calculating variable saturation flows than θ For equation,...