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Volume 9, Issue 3
Discussion of Dynamics and Operator Splitting Techniques for Two-Phase Flow with Gravity

K.-A. Lie, J. R. Natvig & H. M. Nilsen

Int. J. Numer. Anal. Mod., 9 (2012), pp. 684-700.

Published online: 2012-09

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  • 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.

  • Keywords

operator splitting, Helmholtz decomposition, porous media flow.

  • AMS Subject Headings

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-9-684, author = {Lie , K.-A.Natvig , J. R. and Nilsen , H. M.}, title = {Discussion of Dynamics and Operator Splitting Techniques for Two-Phase Flow with Gravity}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {3}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/654.html} }
TY - JOUR T1 - Discussion of Dynamics and Operator Splitting Techniques for Two-Phase Flow with Gravity AU - Lie , K.-A. AU - Natvig , J. R. AU - Nilsen , H. M. JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 684 EP - 700 PY - 2012 DA - 2012/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/654.html KW - operator splitting, Helmholtz decomposition, porous media flow. AB -

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.

Lie , K.-A.Natvig , J. R. and Nilsen , H. M.. (2012). Discussion of Dynamics and Operator Splitting Techniques for Two-Phase Flow with Gravity. International Journal of Numerical Analysis and Modeling. 9 (3). 684-700. doi:
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