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A posteriori error of a discontinuous Galerkin scheme for compressible miscible displacement problems with molecular diffusion and dispersion
Author(s) -
Yang Jiming
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2208
Subject(s) - mathematics , discontinuous galerkin method , diffusion , a priori and a posteriori , porous medium , dispersion (optics) , displacement (psychology) , galerkin method , flow (mathematics) , mathematical analysis , finite element method , physics , materials science , geometry , porosity , thermodynamics , psychology , philosophy , epistemology , optics , composite material , psychotherapist
A kind of compressible miscible displacement problems including molecular diffusion and dispersion in porous media is studied. A symmetric interior penalty discontinuous Galerkin method is applied to the coupled system of flow and transport. Explicit a posteriori error estimates are obtained based on the duality argument, approximation properties and residual notations. The resulting error bound is shown to be reliable and worthwhile for guiding dynamic mesh adaptivity. Copyright © 2009 John Wiley & Sons, Ltd.