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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v26.i3.50
pages 329-347

Numerical Simulation of Sloshing of a Liquid in a Moving Closed Rectangular Container

I. A. Lukovsky
National Academy of Sciences of Ukraine, Institute of Mathematics, Tereschenkivska 3, 01601 Kiev, Ukraine
G. F. Zolotenko
Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine


The problem of sloshing of a liquid, partially filling a covered moving rectangular container, which arises in dynamics of tankers is, investigated. A set of equations allowing numerical analysis of the dynamics of the fluid in the two-dimensional case at arbitrary translational and angular motions of the container is derived by applying the variational method to a model of an ideal, homogeneous, incompressible fluid. Numerical results on determining the frequencies of free sloshing of the liquid upon steep deviations of the ship from the horizontal, when the cavity can no longer by regarded as cylindrical are presented.

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