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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 means of Darcy's law, components continuity equations, constitutive relations, and appropriate initial and boundary conditions. The problem is solved numerically using a combination of the mixed-hybrid finite element method for Darcy's law discretization and the finite volume method for the discretization of the transport equations. This approach provides exact local mass balance. The time discretization is carried out by the Euler method. The resulting large system of nonlinear algebraic equations is solved by the Newton-Raphson method. The dimensions of obtained system of linear algebraic equations are significantly reduced independently of the number of mixture components. The convergence of the scheme is verified on a problem of methane injection into a homogeneous 2D reservoir filled with propane.
- 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 means of Darcy's law, components continuity equations, constitutive relations, and appropriate initial and boundary conditions. The problem is solved numerically using a combination of the mixed-hybrid finite element method for Darcy's law discretization and the finite volume method for the discretization of the transport equations. This approach provides exact local mass balance. The time discretization is carried out by the Euler method. The resulting large system of nonlinear algebraic equations is solved by the Newton-Raphson method. The dimensions of obtained system of linear algebraic equations are significantly reduced independently of the number of mixture components. The convergence of the scheme is verified on a problem of methane injection into a homogeneous 2D reservoir filled with propane. (en)
- 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 means of Darcy's law, components continuity equations, constitutive relations, and appropriate initial and boundary conditions. The problem is solved numerically using a combination of the mixed-hybrid finite element method for Darcy's law discretization and the finite volume method for the discretization of the transport equations. This approach provides exact local mass balance. The time discretization is carried out by the Euler method. The resulting large system of nonlinear algebraic equations is solved by the Newton-Raphson method. The dimensions of obtained system of linear algebraic equations are significantly reduced independently of the number of mixture components. The convergence of the scheme is verified on a problem of methane injection into a homogeneous 2D reservoir filled with propane. (cs)
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Title
| - Numerický model pro výpočet proudění směsi v porézním prostředí
- Numerický model pro výpočet proudění směsi v porézním prostředí (cs)
- Nimerical model for computation of multicomponent flow in porous medium (en)
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skos:prefLabel
| - Numerický model pro výpočet proudění směsi v porézním prostředí
- Numerický model pro výpočet proudění směsi v porézním prostředí (cs)
- Nimerical model for computation of multicomponent flow in porous medium (en)
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skos:notation
| - RIV/68407700:21340/11:00185712!RIV12-MSM-21340___
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http://linked.open...avai/predkladatel
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GP201/08/P567), P(ME10009), S
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/68407700:21340/11:00185712
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - mixed-hybrid finite element method; finite volume method; Newton-Raphson method; single-phase compressible multicomponent flow; miscible displacement (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...ontrolniKodProRIV
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http://linked.open...v/mistoKonaniAkce
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http://linked.open...i/riv/mistoVydani
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...iv/tvurceVysledku
| - Mikyška, Jiří
- Polívka, Ondřej
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http://linked.open...vavai/riv/typAkce
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http://linked.open.../riv/zahajeniAkce
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number of pages
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http://purl.org/ne...btex#hasPublisher
| - Česká technika - nakladatelství ČVUT
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https://schema.org/isbn
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http://localhost/t...ganizacniJednotka
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is http://linked.open...avai/riv/vysledek
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