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Alharbi, A and Naire, S (2019) An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension. Journal of Computational and Applied Mathematics, 356. pp. 219-230. ISSN 0377-0427
CAM-D-17-01442R1.pdf - Accepted Version
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Abstract
In this paper, we extend our previous work [A. Alharbi and S. Naire, An adaptive moving mesh method for thin film flow equations with surface tension, J. Computational and Applied Mathematics, 319 (2017), pp. 365-384.] on a one-dimensional r-adaptive moving mesh technique based on a mesh density function and moving mesh partial differential equations (MMPDEs) to two dimensions. As a test problem, we consider the gravitydriven thin film flow down an inclined and pre-wetted plane including surface tension and a moving contact line. This technique accurately captures and resolves the moving contact line and associated fingering instability. Moreover, the computational effort is hugely reduced in comparison to a fixed uniform mesh.
Item Type: | Article |
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Additional Information: | This is the accepted author manuscript (AAM). The final published version (version of record) will be available online via Elsevier at https://doi.org/10.1016/j.cam.2019.02.010 - please refer to any applicable terms of use of the publisher. |
Uncontrolled Keywords: | Thin film flows, Surface tension, Fingering instability, Adaptive moving mesh, r-adaptive method, Moving Mesh PDEs (MMPDEs), applied mathematics, numerical and computational mathematics, electrical and electronic engineering |
Subjects: | Q Science > QA Mathematics T Technology > TK Electrical engineering. Electronics Nuclear engineering |
Divisions: | Faculty of Natural Sciences > School of Computing and Mathematics |
Depositing User: | Symplectic |
Date Deposited: | 12 Feb 2019 15:39 |
Last Modified: | 22 Feb 2020 01:30 |
URI: | https://eprints.keele.ac.uk/id/eprint/5817 |