About: Combined Mixed-Hybrid Finite Element-Finite Volume Scheme for Computation of Multicomponent Compressible Flow in Porous Media

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About: Combined Mixed-Hybrid Finite Element-Finite Volume Scheme for Computation of Multicomponent Compressible Flow in Porous Media Goto Sponge NotDistinct Permalink

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Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.springer.com/mathematics/computational+science+%26+engineering/book/978-3-642-33133-6
Description	The paper deals with the numerical modeling of compressible single-phase flow of a mixture composed of several components in a porous medium. The mathematical model is formulated by Darcy's law, components continuity equations, constitutive relations, and initial and boundary conditions. The problem is solved numerically using a combination of the mixed-hybrid finite element method for the total flux discretization and the finite volume method for the discretization of the transport equations. The time discretization is carried out by Euler’s method. The resulting large system of nonlinear algebraic equations is solved by the Newton-Raphson method. The dimensions of the obtained system of linear algebraic equations are significantly reduced so that they do not depend on the number of mixture components. The convergence of the numerical scheme is verified in the single-component case by comparing the numerical solution with an analytical solution. The paper deals with the numerical modeling of compressible single-phase flow of a mixture composed of several components in a porous medium. The mathematical model is formulated by Darcy's law, components continuity equations, constitutive relations, and initial and boundary conditions. The problem is solved numerically using a combination of the mixed-hybrid finite element method for the total flux discretization and the finite volume method for the discretization of the transport equations. The time discretization is carried out by Euler’s method. The resulting large system of nonlinear algebraic equations is solved by the Newton-Raphson method. The dimensions of the obtained system of linear algebraic equations are significantly reduced so that they do not depend on the number of mixture components. The convergence of the numerical scheme is verified in the single-component case by comparing the numerical solution with an analytical solution. (en)
Title	Combined Mixed-Hybrid Finite Element-Finite Volume Scheme for Computation of Multicomponent Compressible Flow in Porous Media Combined Mixed-Hybrid Finite Element-Finite Volume Scheme for Computation of Multicomponent Compressible Flow in Porous Media (en)
skos:prefLabel	Combined Mixed-Hybrid Finite Element-Finite Volume Scheme for Computation of Multicomponent Compressible Flow in Porous Media Combined Mixed-Hybrid Finite Element-Finite Volume Scheme for Computation of Multicomponent Compressible Flow in Porous Media (en)
skos:notation	RIV/68407700:21340/13:00203225!RIV14-MSM-21340___
http://linked.open...avai/predkladatel	Fakulta jaderná a fyzikálně inženýrská
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GAP105/11/1507), P(ME10009), Z(MSM6840770010)
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Mikyška, Jiří Polívka, Ondřej
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
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 jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	65976
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/13:00203225
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Mixed-hybrid finite element method; finite volume method; Newton-Raphson method; single-phase compressible multicomponent flow; miscible displacement (en)
http://linked.open.../riv/klicoveSlovo	Newton-Raphson method finite volume method Mixed-hybrid finite element method miscible displacement single-phase compressible multicomponent flow
http://linked.open...ontrolniKodProRIV	[80DE0CB2C178]
http://linked.open...v/mistoKonaniAkce	Leicester
http://linked.open...i/riv/mistoVydani	Heidelberg
http://linked.open...i/riv/nazevZdroje	Numerical Mathematics and Advanced Applications 2011
http://linked.open...in/vavai/riv/obor	BK
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Development of computer models of CO2 sequestration in the subsurface Multiphase Porous Media Flow and Transport Numerical Models for Subsurface Environmental Application
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Mikyška, Jiří Polívka, Ondřej
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2011-09-05 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Aplikovaná matematika v technických a fyzikálních vědách
number of pages	9 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-642-33133-6
http://localhost/t...ganizacniJednotka	21340

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