@prefix prodottidellaricerca: . @prefix istituto: . @prefix prodotto: . istituto:CDS050 prodottidellaricerca:prodotto prodotto:ID31134 . @prefix pubblicazioni: . @prefix unitaDiPersonaleInterno: . unitaDiPersonaleInterno:MATRICOLA5182 pubblicazioni:autoreCNRDi prodotto:ID31134 . @prefix modulo: . modulo:ID3960 prodottidellaricerca:prodotto prodotto:ID31134 . @prefix rdf: . prodotto:ID31134 rdf:type prodotto:TIPO1101 . @prefix retescientifica: . prodotto:ID31134 rdf:type retescientifica:ProdottoDellaRicerca . @prefix rdfs: . prodotto:ID31134 rdfs:label "Mass-conservative finite volume methods on 2-D unstructured grids for the Richards' equation (Articolo in rivista)"@en . @prefix xsd: . prodotto:ID31134 pubblicazioni:anno "2004-01-01T00:00:00+01:00"^^xsd:gYear . @prefix skos: . prodotto:ID31134 skos:altLabel "
Manzini G., Ferraris S. (2004)
Mass-conservative finite volume methods on 2-D unstructured grids for the Richards' equation
in Advances in water resources
"^^rdf:HTML ; pubblicazioni:autori "Manzini G., Ferraris S."^^xsd:string ; pubblicazioni:paginaInizio "1199"^^xsd:string ; pubblicazioni:paginaFine "1215"^^xsd:string ; pubblicazioni:numeroVolume "27"^^xsd:string . @prefix ns11: . prodotto:ID31134 pubblicazioni:rivista ns11:ID340070 ; pubblicazioni:numeroFascicolo "12"^^xsd:string ; skos:note "ISI Web of Science (WOS)"^^xsd:string ; pubblicazioni:affiliazioni "IMATI-CNR\nUniversita di Torino"^^xsd:string ; pubblicazioni:titolo "Mass-conservative finite volume methods on 2-D unstructured grids for the Richards' equation"^^xsd:string ; prodottidellaricerca:abstract "The solution to the 2-D time-dependent unsaturated flow equation is numerically approximated by a second-order accurate cell-centered finite-volume discretization on unstructured grids. The approximation method is based on a vertex-centered Least Squares linear reconstruction of the solution gradients at mesh edges. A Taylor series development in time of the water content dependent variable in a finite-difference framework guarantees that the proposed finite volume method is mass conservative. A Picard iterative scheme solves at each time step the resulting non-linear algebraic problem. The performance of the method is assessed on five different test cases and implementing four distinct soil constitutive relationships. The first test case deals with a column infiltration problem. It shows the capability of providing a mass-conservative behavior. The second test case verifies the numerical approximation by comparison with an analytical mixed saturated-unsaturated solution. In this case, the water drains from a fully saturated portion of a 1-D column. The third and fourth test cases illustrate the performance of the approximation scheme on sharp soil heterogeneities on 1-D and 2-D multi-layered infiltration problems. The 2-D case shows the passage of an abrupt infiltration front across a curved interface between two layers. Finally, the fifth test case compares the numerical results with an analytical solution that is developed for a 2-D heterogeneous soil with a source term representing plant roots. This last test case illustrates the formal second-order accuracy of the method in the numerical approximation of the pressure head."@en ; prodottidellaricerca:prodottoDi modulo:ID3960 , istituto:CDS050 ; pubblicazioni:autoreCNR unitaDiPersonaleInterno:MATRICOLA5182 . ns11:ID340070 pubblicazioni:rivistaDi prodotto:ID31134 .