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Statements

Subject Item
n2:RIV%2F68407700%3A21110%2F13%3A00215620%21RIV14-MSM-21110___
rdf:type
skos:Concept n13:Vysledek
rdfs:seeAlso
https://ojs.cvut.cz/ojs/index.php/ap/article/view/1829/1661
dcterms:description
This paper presents several algorithms that were implemented in DRUtES [1], a new open source project. DRUtES is a finite element solver for coupled nonlinear parabolic problems, namely the Richards equation with the dual porosity approach (modeling the flow of liquids in a porous medium). Mass balance consistency is crucial in any hydrological balance and contaminant transportation evaluations. An incorrect approximation of the mass term greatly depreciates the results that are obtained. An algorithm for automatic time step selection is presented, as the proper time step length is crucial for achieving accuracy of the Euler time integration method. Various problems arise with poor conditioning of the Richards equation: the computational domain is clustered into subregions separated by a wetting front, and the nonlinear constitutive functions cover a high range of values, while a very simple diagonal preconditioning method greatly improves the matrix properties. The results are presented here, together with an analysis. This paper presents several algorithms that were implemented in DRUtES [1], a new open source project. DRUtES is a finite element solver for coupled nonlinear parabolic problems, namely the Richards equation with the dual porosity approach (modeling the flow of liquids in a porous medium). Mass balance consistency is crucial in any hydrological balance and contaminant transportation evaluations. An incorrect approximation of the mass term greatly depreciates the results that are obtained. An algorithm for automatic time step selection is presented, as the proper time step length is crucial for achieving accuracy of the Euler time integration method. Various problems arise with poor conditioning of the Richards equation: the computational domain is clustered into subregions separated by a wetting front, and the nonlinear constitutive functions cover a high range of values, while a very simple diagonal preconditioning method greatly improves the matrix properties. The results are presented here, together with an analysis.
dcterms:title
ALGORITHMS FOR SOLVING DARCIAN FLOW IN STRUCTURED POROUS MEDIA ALGORITHMS FOR SOLVING DARCIAN FLOW IN STRUCTURED POROUS MEDIA
skos:prefLabel
ALGORITHMS FOR SOLVING DARCIAN FLOW IN STRUCTURED POROUS MEDIA ALGORITHMS FOR SOLVING DARCIAN FLOW IN STRUCTURED POROUS MEDIA
skos:notation
RIV/68407700:21110/13:00215620!RIV14-MSM-21110___
n13:predkladatel
n14:orjk%3A21110
n3:aktivita
n9:I n9:P
n3:aktivity
I, P(GP13-11977P)
n3:cisloPeriodika
4
n3:dodaniDat
n12:2014
n3:domaciTvurceVysledku
n6:6179029
n3:druhVysledku
n8:J
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
60073
n3:idVysledku
RIV/68407700:21110/13:00215620
n3:jazykVysledku
n7:eng
n3:klicovaSlova
Richards equation; time step adaptivity; distinct unsaturated hydraulic properties; problem conditioning; diagonal preconditioner
n3:klicoveSlovo
n4:Richards%20equation n4:diagonal%20preconditioner n4:time%20step%20adaptivity n4:problem%20conditioning n4:distinct%20unsaturated%20hydraulic%20properties
n3:kodStatuVydavatele
CZ - Česká republika
n3:kontrolniKodProRIV
[EF6AE94E8C34]
n3:nazevZdroje
Acta Polytechnica
n3:obor
n20:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n10:GP13-11977P
n3:rokUplatneniVysledku
n12:2013
n3:svazekPeriodika
53
n3:tvurceVysledku
Mayer, Petr Kuráž, M.
s:issn
1210-2709
s:numberOfPages
12
n19:organizacniJednotka
21110