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Analysis of a semidiscrete discontinuous Galerkin scheme for compressible miscible displacement problem

✍ Scribed by Mingrong Cui

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
265 KB
Volume
214
Category
Article
ISSN
0377-0427

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✦ Synopsis

Numerical approximation of the coupled system of compressible miscible displacement problem in porous media is considered in this paper. A continuous in time discontinuous Galerkin scheme is developed. The symmetric interior penalty discontinuous Galerkin method is used to solve both the flow and transport equations. Upwind technique is used to treat the convection term in the transport equation. The hp-a priori error bounds are derived.

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A wavelet-Galerkin scheme tailored to address the numerical solution of large-scale boundary value problems defined on domains of simple geometry is presented. The variation of parameters, e.g. material properties, within the domain is arbitrary but the method is specifically designed to solve probl