Gomes, J. L. M. A., Pavlidis, D., Salinas, P., Xie, Zhihua  ORCID: https://orcid.org/0000-0002-5180-8427, 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 |
| Additional Information: | This is an open access article under the terms of the Creative Commons Attribution License |
| 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: | 06 May 2023 00:00 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/97688 |
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