Scheda di dettaglio – i prodotti della ricerca
| Dato | Valore |
|---|---|
| Title | Optimizing Water Consumption in Richards' Equation Framework with Step-Wise Root Water Uptake: A Simplified Model |
| 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 water flow model in unsaturated soils, accounting also for a root water uptake term, which is assumed to be discontinuos in the state variable. We investigate the possibility of accomplishing such optimization by computing the steady solutions of a theta-based Richards equation revised as equilibrium points of the ODEs system resulting from a numerical semi-dicretization in the space; after such semi-discretization, these equilibrium points are computed exactly as the solutions of a linear system of algebraic equations: the case in which the equilibrium lies on the threshold for the uptake term is of particular interest, since the system considerably simplifies. In this framework, the problem of minimizing the water waste below the root level is investigated. Numerical simulations are provided for representing the obtained results. |
| Source | Transport in porous media |
| Keywords | Richards' equationRoots water uptakeSteady-state solutionsFilippov theoryOptimization of boundary conditions |
| Journal | Transport in porous media |
| Editor | Reidel, Dordrecht ;, Paesi Bassi |
| Year | 2022 |
| Type | Articolo in rivista |
| DOI | 10.1007/s11242-021-01730-y |
| Authors | Berardi, Marco; D'Abbicco, Marcello; Girardi, Giovanni; Vurro, Michele |
| Text | 463070 2022 10.1007/s11242 021 01730 y ISI Web of Science WOS 000737729600001 Richards equation Roots water uptake Steady state solutions Filippov theory Optimization of boundary conditions Optimizing Water Consumption in Richards Equation Framework with Step Wise Root Water Uptake A Simplified Model Berardi, Marco; D Abbicco, Marcello; Girardi, Giovanni; Vurro, Michele CNR; Univ Bari Aldo Moro This work arises from the need of exploring new features for modeling and optimizing water consumption in irrigation processes. In particular, we focus on water flow model in unsaturated soils, accounting also for a root water uptake term, which is assumed to be discontinuos in the state variable. We investigate the possibility of accomplishing such optimization by computing the steady solutions of a theta based Richards equation revised as equilibrium points of the ODEs system resulting from a numerical semi dicretization in the space; after such semi discretization, these equilibrium points are computed exactly as the solutions of a linear system of algebraic equations the case in which the equilibrium lies on the threshold for the uptake term is of particular interest, since the system considerably simplifies. In this framework, the problem of minimizing the water waste below the root level is investigated. Numerical simulations are provided for representing the obtained results. Article Highlights Published version https //link.springer.com/article/10.1007/s11242 021 01730 y Articolo in rivista Reidel 0169 3913 Transport in porous media Transport in porous media Transp. porous media michele.vurro VURRO MICHELE GIRARDI GIOVANNI marco.berardi BERARDI MARCO |