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 - <p style="text-align: justify;">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.</p>