Abstract
SummaryWe 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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal for Numerical Methods in Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
