Mathematical modeling of the multicomponent flow in porous media using higher-order methods

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00374145" target="_blank" >RIV/68407700:21340/23:00374145 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jcp.2023.112468" target="_blank" >https://doi.org/10.1016/j.jcp.2023.112468</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jcp.2023.112468" target="_blank" >10.1016/j.jcp.2023.112468</a>

Result language
angličtina
Original language name
Mathematical modeling of the multicomponent flow in porous media using higher-order methods
Original language description
In this paper, we present a detailed numerical scheme for a single-phase compressible flow without diffusion of a multi-component mixture in porous media with the higher-order approximation in both space and time. The mathematical model consists of Darcy velocity, transport equations for each component of a mixture, pressure equation and associated relations for physical quantities such as viscosity or equation of state. The discrete problem is obtained using a combination of the discontinuous Galerkin method for the transport equations and the mixed-hybrid finite element method for the Darcy velocity and the pressure equation. In both methods the higher-order approximation is used. The resulting nonlinear problem for concentrations is solved with the fully mass-conservative iterative IMPEC method. Experimental order of convergence analysis (EOC) and some numerical experiments of a 2D flow are carried out.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

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)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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