Premium
Generalized EVI‐space‐time Galerkin method for dynamical modeling in porous media
Author(s) -
Chen Z.,
Steeb H.,
Diebels S.
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810491
Subject(s) - discretization , galerkin method , discontinuous galerkin method , porous medium , displacement (psychology) , space (punctuation) , finite element method , space time , mathematics , mathematical analysis , physics , computer science , porosity , materials science , engineering , composite material , psychotherapist , thermodynamics , operating system , psychology , chemical engineering
We investigate a generalized space–time discontinuous Galerkin formulation for modeling dynamical phenomena in porous media. The finite element approximation is based on a coupled space–time discretization. An advanced Embedded Velocity Integration (EVI) technique is applied to circumvent the direction solution of the displacement fields but to solve the rate term of the unknowns. Moverover, a stabilization factor α is introduced to modify the integration scheme of the velocities, which further contributes to the numerical stabilization of the overall solution. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)