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

Medientyp: E-Artikel
Titel: Analysis of a linearization scheme for an interior penalty discontinuous Galerkin method for two‐phase flow in porous media with dynamic capillarity effects
Beteiligte: Karpinski, Stefan; Pop, Iuliu Sorin; Radu, Florin Adrian
Erschienen: Wiley, 2017
Erschienen in: International Journal for Numerical Methods in Engineering
Sprache: Englisch
DOI: 10.1002/nme.5526
ISSN: 0029-5981; 1097-0207
Schlagwörter: Applied Mathematics ; General Engineering ; Numerical Analysis
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Beschreibung: <jats:title>Summary</jats:title><jats:p>We present a linearization scheme for an interior penalty discontinuous Galerkin method for two‐phase porous media flow model, which includes dynamic effects on the capillary pressure. The fluids are assumed immiscible and incompressible, and the solid matrix non‐deformable. 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 rigourously 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. Copyright © 2017 John Wiley & Sons, Ltd.</jats:p>

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