Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillarity effects

S. Karpinski, I.S. Pop

Research output: Book/ReportReportAcademic

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Abstract

We present an interior penalty discontinuous Galerkin scheme for two-phase flow with dynamic capillary pressure effects. The mass-conservation laws are approximated directly, without the introduction of a global pressure. We prove existence and convergence of the scheme and obtain error-estimates for sufficiently smooth data.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages27
Publication statusPublished - 2015

Publication series

NameCASA-report
Volume1527
ISSN (Print)0926-4507

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