InterPore2021

Implementation of Higher-Order methods for Modeling of the Single-Phase Multicomponent Flow in Porous Media

2 Jun 2021, 10:00

1h

Poster (+) Presentation (MS7) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes Poster +

Speaker

Petr Gális (Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague)

Description

In this work we derive a higher-order numerical scheme for the single-phase multicomponent flow in porous media. The mathematical model consists of Darcy velocity, transport equations for components of a mixture, pressure equation and supplemental constitutive relations. The combination of higher-order discontinuous Galerkin method for the discretization of transport equations and higher-order mixed-hybrid finite element method for the discretization of Darcy velocity and pressure equation is used to obtain the discrete problem. The resulting non-linear system is solved with a new fully mass-conservative iterative IMPEC method. To validate the code and to confirm the expected order of convergence some numerical experiments of 2D flow have been carried out.