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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F13%3A00203225" target="_blank" >RIV/68407700:21340/13:00203225 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.springer.com/mathematics/computational+science+%26+engineering/book/978-3-642-33133-6" target="_blank" >http://www.springer.com/mathematics/computational+science+%26+engineering/book/978-3-642-33133-6</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 timediscretization 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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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 timediscretization 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.

Druh

D - Stať ve sborníku

CEP obor

BK - Mechanika tekutin

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Numerical Mathematics and Advanced Applications 2011

ISBN

978-3-642-33133-6

ISSN

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e-ISSN

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Počet stran výsledku

9

Strana od-do

559-567

Název nakladatele

Springer

Místo vydání

Heidelberg

Místo konání akce

Leicester

Datum konání akce

5. 9. 2011

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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