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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/25329

Title: Analysis of a linearization scheme for an interior penalty discontinuous Galerkin method for two phase flow in porous media with dynamic capillarity effects
Authors: Karpinski, Stefan
Pop, Sorin
Radu, Florin Adrian
Issue Date: 2017
Citation: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 112(6), p. 553-577
Abstract: We present a linearization scheme for an interior penalty discontinuous Galerkin method for two phase porous media flow model which includes dynamic effects in the capillary pressure. The fluids are assumed immiscible and incompressible, and the solid matrix nondeformable. The physical laws are approximated in their original form, without using the global or complementary pressures. The linearization scheme does not require any regularization step. Furthermore, in contrast with Newton or Picard methods, there is no computation of derivatives involved. We prove rigorously that the scheme is robust and linearly convergent. We make an extensive parameter study to compare the behaviour of the L-scheme with the Newton method.
Notes: Karpinski, S (reprint author), ESPRiT Engn GmbH, Munich, Germany. stefan.karpinski@esprit-engineering.de
URI: http://hdl.handle.net/1942/25329
Link to publication: http://onlinelibrary.wiley.com/doi/10.1002/nme.5526/full
http://www.uhasselt.be/Documents/CMAT/Preprints/2016/preprint1605.pdf
DOI: 10.1002/nme.5526
ISI #: 000412535300003
ISSN: 0029-5981
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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