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Wetting and drying of two-layer shallow-water flow in a moving vessel via semi-Lagrangian simulation

Turner, Matthew and Bridges, Tom (2019) Wetting and drying of two-layer shallow-water flow in a moving vessel via semi-Lagrangian simulation European Journal of Mechanics B - Fluids, 76. pp. 153-165.

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Abstract

The sloshing motion of two inviscid, incompressible, immiscible, shallowwater fluid layers in a rectangular vessel with a rigid lid is considered. The vessel is forced to oscillate in a horizontal rectilinear motion, at the lowest resonant frequency of the system, such that the lower fluid hits the rigid lid causing a wetting-drying scenario. The two-layer shallow-water equations are solved using a conservative quasi-monotone semi-Lagrangian scheme which conserves the mass of the system. Two examples are considered: a low-fill example where the lower fluid does not interact with the upper-rigid lid, in order to validate the code against an existing Lagrangian particle path scheme, and a high-fill example where there is wetting and drying of the upper rigid lid. In both examples, results of the semi-Lagrangian simulations are compared to existing experimental data and good agreement is obtained.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Turner, MatthewM.Turner@surrey.ac.uk
Bridges, TomT.Bridges@surrey.ac.uk
Date : July 2019
DOI : 10.1016/j.euromechflu.2019.02.008
Copyright Disclaimer : © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Depositing User : Diane Maxfield
Date Deposited : 25 Feb 2019 16:05
Last Modified : 23 Feb 2020 02:08
URI: http://epubs.surrey.ac.uk/id/eprint/850568

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