A second-order treatment to the wet-dry interface of shallow water

Liu, H. and Zhang, J. and Shafiai, S.H. (2016) A second-order treatment to the wet-dry interface of shallow water. Journal of Hydrology, 536. pp. 514-523. ISSN 00221694

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Abstract

The paper presents a second-order lattice Boltzmann method (LBM) for treating the wet-dry interface of shallow water flows. This approach is improved according to the Chapman-Enskog analysis and the Taylor expansion, which are used to set up the relation of the dry cell and its adjacent wet cell. The external forces, such as bed friction and wind stress, are directly included in the wetting and drying boundary treatment. However, the viscous effect cannot be absolutely removed, as the single relaxation time, � > 0.5, should be retained for the reason of stability. In order to verify the scheme, two one-dimensional (1D) and one two-dimensional (2D) numerical cases are carried out. The results indicate that the approach is superior to the first-order scheme, comparing with the other numerical solutions and the experimental data. It can be concluded that the proposed scheme is more accurate and effective in simulating shallow water fronts. © 2016 Elsevier B.V.

Item Type: Article
Additional Information: cited By 6
Uncontrolled Keywords: Friction; Kinetic theory; Wakes; Wind stress, Bed friction; Boundary treatment; Lattice Boltzmann method; Lattice boltzmann methods (LBM); Second orders; Single relaxation time; Two Dimensional (2 D); Wet dries, Computational fluid dynamics, friction; hydrological modeling; interface; numerical method; numerical model; shallow water; water flow; wetting; wind stress
Depositing User: Mr Ahmad Suhairi UTP
Date Deposited: 09 Nov 2023 16:18
Last Modified: 09 Nov 2023 16:18
URI: https://khub.utp.edu.my/scholars/id/eprint/7066

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