Energy inequalities in compositional simulation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F16%3A00307408" target="_blank" >RIV/68407700:21340/16:00307408 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Energy inequalities in compositional simulation
Original language description
We investigate the single-phase flow of a mixture composed of n components in a porous medium under the influence of pressure gradients, viscosity, and gravity. For the case of the single-phase flow (i.e. assuming that under given conditions the phase splitting will not occur), we derive an energy inequality for the continuous problem. Then, we propose the fully implicit discretization of the transport problem which uses a combination of the mixed-hybrid finite element method for the velocity approximation and the finite volume method for the discretization of the transport equations. We prove that the proposed numerical scheme fulfills a discrete version of the energy inequality. A numerical experiment reveals exponential decay of the Helmholtz free energy when a system approaches the equilibrium state.
Czech name
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Czech description
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Project
<a href="/en/project/LH12064" target="_blank" >LH12064: Computational Methods in Thermodynamics of Multicomponent Mixtures</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoké Tatry - Podbanské, Slovakia, March 14 - 18, 2016. Proceedings of contributed papers and posters
ISBN
978-80-227-4544-4
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
224-233
Publisher name
Comenius University
Place of publication
Bratislava
Event location
Vysoké Tatry - Podbanské
Event date
Mar 14, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000391175600023

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