Scheda di dettaglio – i prodotti della ricerca
| Dato | Valore |
|---|---|
| Title | The 1D Richards' equation in two layered soils: A Filippov approach to treat discontinuities |
| Abstract | The infiltration process into the soil is generally modeled by the Richards' partial differential equation (PDE). In this paper a new approach for modeling the infiltration process through the interface of two different soils is proposed, where the interface is seen as a discontinuity surface defined by suitable state variables. Thus, the original 1D Richards' PDE, enriched by a particular choice of the boundary conditions, is first approximated by means of a time semidiscretization, that is by means of the transversal method of lines (TMOL). In such a way a sequence of discontinuous initial value problems, described by a sequence of second order differential systems in the space variable, is derived. Then, Filippov theory on discontinuous dynamical systems may be applied in order to study the relevant dynamics of the problem. The numerical integration of the semidiscretized differ- ential system will be performed by using a one-step method, which employs an event driven procedure to locate the discontinuity surface and to adequately change the vector field. |
| Source | Advances in water resources 115, pp. 264–272 |
| Keywords | Richards' equationEvent-driven numerical methodsLayered soilsFilippov theory |
| Journal | Advances in water resources |
| Editor | C.M.L. Publications,, Southampton, Regno Unito |
| Year | 2018 |
| Type | Articolo in rivista |
| DOI | 10.1016/j.advwatres.2017.09.027 |
| Authors | Marco Berardi, Fabio Difonzo, Michele Vurro, Luciano Lopez |
| Text | 379324 2018 10.1016/j.advwatres.2017.09.027 Scopus 2 s2.0 85044976806 ISI Web of Science WOS WOS 000432554300020 Richards equation Event driven numerical methods Layered soils Filippov theory The 1D Richards equation in two layered soils A Filippov approach to treat discontinuities Marco Berardi, Fabio Difonzo, Michele Vurro, Luciano Lopez Istituto di Ricerca Sulle Acque Sede Secondaria di Bari Code Architects Automation, Istituto di Ricerca Sulle Acque Sede Secondaria di Bari Dipartimento di Matematica Universita degli studi di Bari e Istituto di Ricerca Sulle Acque Sede Secondaria di Bari The infiltration process into the soil is generally modeled by the Richards partial differential equation PDE . In this paper a new approach for modeling the infiltration process through the interface of two different soils is proposed, where the interface is seen as a discontinuity surface defined by suitable state variables. Thus, the original 1D Richards PDE, enriched by a particular choice of the boundary conditions, is first approximated by means of a time semidiscretization, that is by means of the transversal method of lines TMOL . In such a way a sequence of discontinuous initial value problems, described by a sequence of second order differential systems in the space variable, is derived. Then, Filippov theory on discontinuous dynamical systems may be applied in order to study the relevant dynamics of the problem. The numerical integration of the semidiscretized differ ential system will be performed by using a one step method, which employs an event driven procedure to locate the discontinuity surface and to adequately change the vector field. 115 Published version http //dx.doi.org/10.1016/j.advwatres.2017.09.027 The 1D Richards equation in two layered soils A Filippov approach to treat discontinuities Berardi_et_al_ADWR_2018.pdf Articolo in rivista C.M.L. Publications, 0309 1708 Advances in water resources Advances in water resources Adv. water resour. Advances in water resources. marco.berardi BERARDI MARCO LOPEZ LUCIANO michele.vurro VURRO MICHELE |