A mixed MoL–TMoL for the numerical solution of the 2D Richards’ equation in layered soils
| Autor: | Fabio Difonzo, Marco Berardi, Luciano Lopez |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Method of lines
010103 numerical & computational mathematics 01 natural sciences 010101 applied mathematics Computational Mathematics Discontinuity (linguistics) Computational Theory and Mathematics Intersection Modeling and Simulation Transversal (combinatorics) Soil water Applied mathematics Richards equation 0101 mathematics Spatial domain Focus (optics) Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 79:1990-2001 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2019.07.026 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect