In this section
@article{Gomes:2016:10.1002/fld.4275,
author = {Gomes, JLMA and Pavlidis, D and Salinas, P and Xie, Z and Percival, JR and Melnikova, Y and Pain, CC and Jackson, MD},
doi = {10.1002/fld.4275},
journal = {International Journal for Numerical Methods in Fluids},
pages = {431--445},
title = {A force-balanced control volume finite element method for multi-phase porous media flow modelling},
url = {http://dx.doi.org/10.1002/fld.4275},
volume = {83},
year = {2016}
}
TY - JOUR
AB - A novel method for simulating multi-phase flow in porous media is presented. The approach is based on acontrol volume finite element mixed formulation and new force-balanced finite element pairs. The novelty ofthe method lies in: (a) permitting both continuous and discontinuous description of pressure and saturationbetween elements; (b) the use of arbitrarily high-order polynomial representation for pressure and velocityand (c) the use of high-order flux-limited methods in space and to time avoid introducing non-physicaloscillations while achieving high-order accuracy where and when possible. The model is initially validatedfor two-phase flow. Results are in good agreement with analytically obtained solutions and experimentalresults. The potential of this method is demonstrated by simulating flow in a realistic geometry composed ofhighly permeable meandering channels.
AU - Gomes,JLMA
AU - Pavlidis,D
AU - Salinas,P
AU - Xie,Z
AU - Percival,JR
AU - Melnikova,Y
AU - Pain,CC
AU - Jackson,MD
DO - 10.1002/fld.4275
EP - 445
PY - 2016///
SN - 1097-0363
SP - 431
TI - A force-balanced control volume finite element method for multi-phase porous media flow modelling
T2 - International Journal for Numerical Methods in Fluids
UR - http://dx.doi.org/10.1002/fld.4275
UR - http://hdl.handle.net/10044/1/39806
VL - 83
ER -