About: An Adaptive Time Discretisation to the Numerical Solution of the Richards\' Equation

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	A flow in a variably saturated porous media when satisfying conditions of the Darcy\'s law is possible to describe by the Richards\' equation. The numerical solution of this problem suffers with various difficulties due to nonlinearities based on a nonlinear empirical hydropedological laws. Those are the constitutive laws describing a relation between a pore suction pressure and a water content, in our case described by the van Genuchten formula and the relation between an unsaturated hydraulic conductivity and a pore suction pressure described by the Mualem form. A time derivate term is usually approximated by a linear function due to the commonly used implicit Euler scheme approximations. Due to a various torsions of the van Genuchten law for different water content values this method brings mass balance errors as mentioned in. A method to control error of this approximation based on an adaptive time step is presented in this paper. A flow in a variably saturated porous media when satisfying conditions of the Darcy\'s law is possible to describe by the Richards\' equation. The numerical solution of this problem suffers with various difficulties due to nonlinearities based on a nonlinear empirical hydropedological laws. Those are the constitutive laws describing a relation between a pore suction pressure and a water content, in our case described by the van Genuchten formula and the relation between an unsaturated hydraulic conductivity and a pore suction pressure described by the Mualem form. A time derivate term is usually approximated by a linear function due to the commonly used implicit Euler scheme approximations. Due to a various torsions of the van Genuchten law for different water content values this method brings mass balance errors as mentioned in. A method to control error of this approximation based on an adaptive time step is presented in this paper. (en)
Title	An Adaptive Time Discretisation to the Numerical Solution of the Richards\' Equation An Adaptive Time Discretisation to the Numerical Solution of the Richards\' Equation (en)
skos:prefLabel	An Adaptive Time Discretisation to the Numerical Solution of the Richards\' Equation An Adaptive Time Discretisation to the Numerical Solution of the Richards\' Equation (en)
skos:notation	RIV/68407700:21110/09:00192141!RIV12-MSM-21110___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6840770006)
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Kuráž, Michal
http://linked.open.../riv/druhVysledku	O - Ostatní výsledky nezařaditelné do žádného z výše uvedených druhů výsledku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta stavební
http://linked.open...dnocenehoVysledku	302672
http://linked.open...ai/riv/idVysledku	RIV/68407700:21110/09:00192141
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	retention curve, quasilinearity, mass balance, finite element (en)
http://linked.open.../riv/klicoveSlovo	mass balance finite element retention curve quasilinearity
http://linked.open...ontrolniKodProRIV	[569B882D23A1]
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2009
http://linked.open...iv/tvurceVysledku	Kuráž, Michal
http://linked.open...n/vavai/riv/zamer	Management of the Sustainable Development of the Life Cycle of Buildings, Building Firms and Land. (Proposal for continuation of RP MSM 210000006
http://localhost/t...ganizacniJednotka	21110

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