Combined Mixed-Hybrid Finite Element-Finite Volume Scheme for Computation of Multicomponent Compressible Flow in Porous Media
The result's identifiers
Result code in 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>
Result on the web
<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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Alternative languages
Result language
angličtina
Original language name
Combined Mixed-Hybrid Finite Element-Finite Volume Scheme for Computation of Multicomponent Compressible Flow in Porous Media
Original language 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 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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BK - Liquid mechanics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Numerical Mathematics and Advanced Applications 2011
ISBN
978-3-642-33133-6
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
559-567
Publisher name
Springer
Place of publication
Heidelberg
Event location
Leicester
Event date
Sep 5, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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