Scheda di dettaglio – i prodotti della ricerca
| Dato | Valore |
|---|---|
| Title | A transversal method of lines for the numerical modeling of vertical infiltration into the vadose zone |
| Abstract | Here some issues are studied, related to the numerical solution of Richards' equation in a one dimensional spatial domain by a technique based on the Transversal Method of Lines (TMoL). The core idea of TMoL approach is to semi-discretize the time derivative of Richards' equation: afterward a system of second order differential equations in the space variable is derived as an initial value problem. The computational framework of this method requires both Dirichlet and Neumann boundary conditions at the top of the column. The practical motivation for choosing such a condition is argued. We will show that, with the choice of the aforementioned initial conditions, our TMoL approach brings to solutions comparable with the ones obtained by the classical Methods of Lines (hereafter referred to as MoL) with corresponding standard boundary conditions: in particular, an appropriate norm is introduced for effectively comparing numerical tests obtained by MoL and TMoL approach and a sensitivity analysis between the two methods is performed by means of a mass balance point of view. A further algorithm is introduced for deducing in a self-sustaining way the gradient boundary condition on top in the TMoL context. |
| Source | Applied numerical mathematics 135, pp. 264–275 |
| Keywords | Richards' equationMethod of LinesTransversal Method of LinesMass balanceHydrological modeling |
| Journal | Applied numerical mathematics |
| Editor | North-Holland, Amsterdam, Paesi Bassi |
| Year | 2019 |
| Type | Articolo in rivista |
| DOI | 10.1016/j.apnum.2018.08.013 |
| Authors | Marco Berardi, Fabio Difonzo, Filippo Notarnicola, Michele Vurro |
| Text | 392218 2019 10.1016/j.apnum.2018.08.013 Scopus 2 s2.0 85052993179 ISI Web of Science WOS WOS 000448230200017 Richards equation Method of Lines Transversal Method of Lines Mass balance Hydrological modeling A transversal method of lines for the numerical modeling of vertical infiltration into the vadose zone Marco Berardi, Fabio Difonzo, Filippo Notarnicola, Michele Vurro Marco Berardi IRSA CNR; Fabio Difonzo Code Architects Automation, Santeramo BA ; Filippo Notarnicola IAC CNR; Michele Vurro IRSA CNR. Here some issues are studied, related to the numerical solution of Richards equation in a one dimensional spatial domain by a technique based on the Transversal Method of Lines TMoL . The core idea of TMoL approach is to semi discretize the time derivative of Richards equation afterward a system of second order differential equations in the space variable is derived as an initial value problem. The computational framework of this method requires both Dirichlet and Neumann boundary conditions at the top of the column. The practical motivation for choosing such a condition is argued. We will show that, with the choice of the aforementioned initial conditions, our TMoL approach brings to solutions comparable with the ones obtained by the classical Methods of Lines hereafter referred to as MoL with corresponding standard boundary conditions in particular, an appropriate norm is introduced for effectively comparing numerical tests obtained by MoL and TMoL approach and a sensitivity analysis between the two methods is performed by means of a mass balance point of view. A further algorithm is introduced for deducing in a self sustaining way the gradient boundary condition on top in the TMoL context. 135 Published version A transversal method of lines for the numerical modeling of vertical infiltration into the vadose zone file pdf of the published version 1 s2.0 S0168927418301892 main.pdf Articolo in rivista North Holland 0168 9274 Applied numerical mathematics Applied numerical mathematics Appl. numer. math. Applied numerical mathematics. filippo.notarnicola NOTARNICOLA FILIPPO marco.berardi BERARDI MARCO michele.vurro VURRO MICHELE DTA.AD002.295.002 SLIDERAIL |