NDLI: Nonlinear Sloshing in Fixed and Vertically Excited Containers

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Jannette, B. Frandsen Alistair, G. L. Borthwick
Copyright Year	2002
Abstract	Nonlinear effects of standing wave motions in fixed and vertically excited tanks are numerically investigated. The present fully nonlinear model analyses two-dimensional waves in stable and unstable regions of the free-surface flow. Numerical solutions of the governing nonlinear potential flow equations are obtained using a finite-difference time-stepping scheme on adaptively mapped grids. A σ-transformation in the vertical direction that stretches directly between the free-surface and bed boundary is applied to map the moving free surface physical domain onto a fixed computational domain. A horizontal linear mapping is also applied, so that the resulting computational domain is rectangular, and consists of unit square cells. The small-amplitude free-surface predictions in the fixed and vertically excited tanks compare well with 2nd order small perturbation theory. For stable steep waves in the vertically excited tank, the free-surface exhibits nonlinear behaviour. Parametric resonance is evident in the instability zones, as the amplitudes grow exponentially, even for small forcing amplitudes. For steep initial amplitudes the predictions differ considerably from the small perturbation theory solution, demonstrating the importance of nonlinear effects. The present numerical model provides a simple way of simulating steep non-breaking waves. It is computationally quick and accurate, and there is no need for free surface smoothing because of the σ-transformation.
Sponsorship	Applied Mechanics Division
Starting Page	1375
Ending Page	1386
Page Count	12
File Format	PDF
ISBN	0791836592
DOI	10.1115/IMECE2002-32948
Volume Number	5th International Symposium on Fluid Structure Interaction, Aeroelasticity, and Flow Induced Vibration and Noise
Conference Proceedings	ASME 2002 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2002-11-17
Publisher Place	New Orleans, Louisiana, USA
Access Restriction	Subscribed
Subject Keyword	Perturbation theory Standing waves Computer simulation Sloshing Containers Resonance Flow (dynamics) Waves
Content Type	Text
Resource Type	Article

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