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A force-balanced control volume finite element method for multi-phase porous media flow modelling

Gomes, J. L. M. A., Pavlidis, D., Salinas, P., Xie, Zhihua, Percival, J. R., Melnikova, Y., Pain, C. C. and Jackson, M. D. 2017. A force-balanced control volume finite element method for multi-phase porous media flow modelling. International Journal for Numerical Methods in Fluids 83 (5) , pp. 431-445. 10.1002/fld.4275

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Abstract

A novel method for simulating multi-phase flow in porous media is presented. The approach is based on a control volume finite element mixed formulation and new force-balanced finite element pairs. The novelty of the method lies in (i) permitting both continuous and discontinuous description of pressure and saturation between elements; (ii) the use of arbitrarily high-order polynomial representation for pressure and velocity and (iii) the use of high-order flux-limited methods in space and time to avoid introducing non-physical oscillations while achieving high-order accuracy where and when possible. The model is initially validated for two-phase flow. Results are in good agreement with analytically obtained solutions and experimental results. The potential of this method is demonstrated by simulating flow in a realistic geometry composed of highly permeable meandering channels.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TC Hydraulic engineering. Ocean engineering
Publisher: John Wiley & Sons
ISSN: 0271-2091
Funders: Engineering and Physical Sciences Research Council (EPSRC)
Date of First Compliant Deposit: 2 February 2017
Date of Acceptance: 18 June 2016
Last Modified: 04 Jun 2017 09:37
URI: http://orca.cf.ac.uk/id/eprint/97688

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