Year: 2012
Author: G. M. Coclite, K. H. Karlsen, S. Mishra, N. H. Risebro
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 3 : pp. 562–583
Abstract
We consider the flow of two-phases in a porous medium and propose a modified version of the fractional flow model for incompressible, two-phase flow based on a Helmholtz regularization of the Darcy phase velocities. We show the existence of global-in-time entropy solutions for this model with suitable assumptions on the boundary conditions. Numerical experiments demonstrating the approximation of the classical two-phase flow equations with the new model are presented.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-IJNAM-647
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 3 : pp. 562–583
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Porous media flow conservation law elliptic equation weak solution existence.