@Article{CiCP-11-1,
author = {},
title = {Mixed Multiscale Finite Volume Methods for Elliptic Problems in Two-Phase Flow Simulations},
journal = {Communications in Computational Physics},
year = {2012},
volume = {11},
number = {1},
pages = {19--47},
abstract = {<p style="text-align: justify;">We develop a framework for constructing mixed multiscale finite volume
methods for elliptic equations with multiple scales arising from flows in porous media. Some of the methods developed using the framework are already known [20];
others are new. New insight is gained for the known methods and extra flexibility
is provided by the new methods. We give as an example a mixed MsFV on uniform
mesh in 2-D. This method uses novel multiscale velocity basis functions that are suited
for using global information, which is often needed to improve the accuracy of the
multiscale simulations in the case of continuum scales with strong non-local features.
The method efficiently captures the small effects on a coarse grid. We analyze the new
mixed MsFV and apply it to solve two-phase flow equations in heterogeneous porous
media. Numerical examples demonstrate the accuracy and efficiency of the proposed
method for modeling the flows in porous media with non-separable and separable
scales.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.170910.180311a},
url = {https://global-sci.com/article/80683/mixed-multiscale-finite-volume-methods-for-elliptic-problems-in-two-phase-flow-simulations}
}