. "\u010Cesk\u00E1 technika - nakladatelstv\u00ED \u010CVUT" . . . "216875" . "Numerick\u00FD model pro v\u00FDpo\u010Det proud\u011Bn\u00ED sm\u011Bsi v por\u00E9zn\u00EDm prost\u0159ed\u00ED" . "RIV/68407700:21340/11:00185712" . "Nimerical model for computation of multicomponent flow in porous medium"@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 . "Praha" . "Praha" . "2011-11-11+01:00"^^ . . . . "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 . . "10"^^ . "21340" . "Numerick\u00FD model pro v\u00FDpo\u010Det proud\u011Bn\u00ED sm\u011Bsi v por\u00E9zn\u00EDm prost\u0159ed\u00ED"@cs . . "RIV/68407700:21340/11:00185712!RIV12-MSM-21340___" . "978-80-01-04907-5" . . . "Numerick\u00FD model pro v\u00FDpo\u010Det proud\u011Bn\u00ED sm\u011Bsi v por\u00E9zn\u00EDm prost\u0159ed\u00ED" . . "Nimerical model for computation of multicomponent flow in porous medium"@en . "P(GP201/08/P567), P(ME10009), S" . "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." . "[C61CB6590690]" . . . "2"^^ . "Doktorandsk\u00E9 dny 2011" . "Pol\u00EDvka, Ond\u0159ej" . . . . "2"^^ . . . "mixed-hybrid finite element method; finite volume method; Newton-Raphson method; single-phase compressible multicomponent flow; miscible displacement"@en . . "Miky\u0161ka, Ji\u0159\u00ED" . . "Numerick\u00FD model pro v\u00FDpo\u010Det proud\u011Bn\u00ED sm\u011Bsi v por\u00E9zn\u00EDm prost\u0159ed\u00ED"@cs . .