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http://hdl.handle.net/1942/22553
Title: | Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillarity effects | Authors: | KARPINSKI, Stefan POP, Sorin |
Issue Date: | 2017 | Source: | NUMERISCHE MATHEMATIK, 136(1), p. 249-286 | Abstract: | We present an interior penalty discontinuous Galerkin scheme for a two-phase porous media flow model that incorporates dynamic effects in the capillary pressure. The approximation of the mass-conservation laws is performed in their original formulation, without introducing a global pressure. We prove the existence of a solution to the emerging fully discrete systems and the convergence of the scheme. Error-estimates are obtained for sufficiently smooth data. | Keywords: | porous media; two phase flow; dynamic capillarity; discontinuous Galerkin method; convergence; error estimates | Document URI: | http://hdl.handle.net/1942/22553 | ISSN: | 0029-599X | e-ISSN: | 0945-3245 | DOI: | 10.1007/s00211-016-0839-5 | ISI #: | 000399173300008 | Rights: | © Springer-Verlag Berlin Heidelberg 2016 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2018 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
manuscript.pdf | Peer-reviewed author version | 1.06 MB | Adobe PDF | View/Open |
art%3A10.1007%2Fs00211-016-0839-5.pdf Restricted Access | Published version | 1.17 MB | Adobe PDF | View/Open Request a copy |
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