Journal
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS
Volume 76, Issue -, Pages 153-165Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.euromechflu.2019.02.008
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The sloshing motion of two inviscid, incompressible, immiscible, shallow-water 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. (C) 2019 Elsevier Masson SAS. All rights reserved.
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