Scheda di dettaglio – i prodotti della ricerca
| Dato | Valore |
|---|---|
| Title | A mixed MoL-TMoL for the numerical solution of the 2D Richards' equation in layered soils |
| Abstract | Water infiltration into layered soils is studied, considering a two dimensional spatial domain. The focus is on the treatment of discontinuity at the intersection of non-overlapping soils. The novelty of this paper is based on a mixed MoL-TMoL, which merges desirable features of both Method of Lines (MoL) and Transversal Method of Lines (TMoL); such a numerical approach allows us the numerical treatment of the solution at the discontinuous interfaces by means of Filippov theory for dynamical systems. Numerical simulations, based on implicit and semi-implicit schemes of low accuracy, are provided for validating this approach. |
| Source | Computers & mathematics with applications (1987) 79 (7), pp. 1990–2001 |
| Keywords | Richards' equationLayered soilsDiscontinuous differential systemsTransversal method of lines |
| Journal | Computers & mathematics with applications (1987) |
| Editor | Pergamon Press., Oxford, Regno Unito |
| Year | 2020 |
| Type | Articolo in rivista |
| DOI | 10.1016/j.camwa.2019.07.026 |
| Authors | Marco Berardi, Fabio Difonzo, Luciano Lopez |
| Text | 417673 2020 10.1016/j.camwa.2019.07.026 Richards equation Layered soils Discontinuous differential systems Transversal method of lines A mixed MoL TMoL for the numerical solution of the 2D Richards equation in layered soils Marco Berardi, Fabio Difonzo, Luciano Lopez CNR IRSA Bari , Code Architects Automation, Universita degli Studi di Bari Aldo Moro CNR IRSA Water infiltration into layered soils is studied, considering a two dimensional spatial domain. The focus is on the treatment of discontinuity at the intersection of non overlapping soils. The novelty of this paper is based on a mixed MoL TMoL, which merges desirable features of both Method of Lines MoL and Transversal Method of Lines TMoL ; such a numerical approach allows us the numerical treatment of the solution at the discontinuous interfaces by means of Filippov theory for dynamical systems. Numerical simulations, based on implicit and semi implicit schemes of low accuracy, are provided for validating this approach. 79 Published version https //www.sciencedirect.com/science/article/pii/S0898122119303785 Articolo in rivista Pergamon Press. 0898 1221 Computers mathematics with applications 1987 Computers mathematics with applications 1987 Comput. math. appl. 1987 Computers mathematics with applications. 1987 LOPEZ LUCIANO marco.berardi BERARDI MARCO |