Abstract

The infiltration process into the soil is generally modeled by the Richards' partial differential equation (PDE). Inthis paper a new approach for modeling the infiltration process through the interface of two different soils isproposed, where the interface is seen as a discontinuity surface defined by suitable state variables. Thus, theoriginal 1D Richards' PDE, enriched by a particular choice of the boundary conditions, is first approximated bymeans of a time semidiscretization, that is by means of the transversal method of lines (TMOL). In such a way asequence of discontinuous initial value problems, described by a sequence of second order differential systems inthe space variable, is derived. Then, Filippov theory on discontinuous dynamical systems may be applied inorder 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 locatethe discontinuity surface and to adequately change the vector field.

Autore Pugliese

• Berardi Marco , Vurro Michele

Tutti gli autori

• M. Berardi; F. Difonzo; M. Vurro; L. Lopez

Titolo volume/Rivista

Advances in water resources

Anno di pubblicazione

2017

ISSN

0309-1708

ISBN

Non Disponibile

Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

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Numero di citazioni Scopus

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Ultimo Aggiornamento Citazioni

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Settori ERC

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Codici ASJC

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