TY - JOUR
T1 - Some Multiscale Results Using Limited Global Information for Two-Phase Flow Simulations
AU - Jiang , L.
AU - Aarnes , J. E.
AU - Efendiev , Y.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 115
EP - 131
PY - 2012
DA - 2012/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/615.html
KW - Galerkin multiscale finite element method, mixed multiscale finite element method, global information, two-phase flows.
AB - <p style="text-align: justify;">In this paper, we present the analysis of recently introduced multiscale
finite element methods that employ limited global information. In particular,
these methods use single-phase flow information for the construction
of more accurate solution for two-phase immiscible flow dynamics in heterogeneous
porous media. We consider the analysis of Galerkin multiscale finite
element method as well as mixed multiscale finite element method. Our analysis
assumes that the fine-scale features of two-phase flow dynamics strongly
depend on single-phase flow. Under this assumption, we present the analysis
of multiscale finite element methods that use single-phase flow information.
Numerical results are presented which demonstrate that MsFEM using limited
global information is more accurate and converges as the coarse mesh size
decreases.</p>