Open AccessHp-discontinuous Galerkin Finite Element Method for Incompressible Miscible Displacement in Porous Media
Author(s) -
Hashim A. Kashkool,
Jawad Jaaywel Saadoon
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1530/1/012001
Subject(s) - compressibility , finite element method , porous medium , discontinuous galerkin method , galerkin method , displacement (psychology) , norm (philosophy) , incompressible flow , mathematical analysis , mathematics , penalty method , energy method , mechanics , porosity , physics , materials science , mathematical optimization , thermodynamics , psychology , political science , law , composite material , psychotherapist
We used (hp-DGFEM) for solving the coupled system of incompressible miscible displacement problem in porous media. Flow and transport equations are solved by hp-symmetric interior penalty Discontinuous Galerkin (hp-SIPG) method. We prove the error analysis in the energy norm to the coupled system of incompressible one-phase flow problem.