Year: 2012
Author: K.-A. Lie, J. R. Natvig, H. M. Nilsen
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 3 : pp. 684–700
Abstract
We study the dynamics of two-phase flow with gravity and point out three different transport mechanisms: non-cyclic advection, solenoidal advection, and gravity segregation. Each term has specific mathematical properties that can be exploited by specialized numerical methods. We argue that to develop effective operator splitting methods, one needs to understand the interplay between these three mechanisms for the problem at hand.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-IJNAM-654
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 3 : pp. 684–700
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: operator splitting Helmholtz decomposition porous media flow.