Journal ArticleDOI
Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth
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In this paper, a multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth is presented, where the modality is modelled as a set of modalities.Abstract:
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Proper Orthogonal Decomposition of Pressure Field in Sloshing Impact
Yi Zhang,Solomon C. Yim +1 more
TL;DR: In this article, the authors evaluated the predictive capability of the proper orthogonal decomposition (POD) in approximating dynamics of wave impact, and found that the number of POD modes necessary for accurate impact pressure prediction varies from ∼101 to ∼102, depending on the fill level, sloshing period, and amplitude.
Journal ArticleDOI
Fluid-structure interaction analysis of sloshing in an annular - sectored water pool subject to surge motion
TL;DR: In this article, the authors investigated the sloshing behavior in a baffled and unbaffled three dimensional annular-sectored water pool (i.e., tank) which is located at the dome region of the primary containment.
Journal ArticleDOI
A numerical study of non-linear dynamics in a tank for aerospace applications
TL;DR: In this paper, a two-dimensional rectangular open tank, filled with an inviscid incompressible fluid, is forced to oscillate harmonically along the horizontal direction by means of a numerical code based on the Laplace equation, coupled with non-linear boundary conditions.
Journal ArticleDOI
Performance assessment of porous baffle on liquid sloshing dynamics in a barge carrying liquid tank
TL;DR: In this article, the authors investigated sloshing dynamics in a partially liquid-filled baffled tank, equipped with a floating barge and an aspect ratio(hs /l, liquid depth, hs to leng
Journal ArticleDOI
An Investigation into the Liquid Sloshing Characteristics of Ground Anchored Tanks during Lateral Vibration
TL;DR: In this paper, the authors presented an experimental cum analytical investigation on lateral sloshing behavior under simulated vibrating conditions on a fixed base rectangular container with water, which was designed to suit experimental requirements and the walls were made of Perspex sheets in order to view the slohing phenomena and for image capturing purposes.
References
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Journal ArticleDOI
A variational principle for a fluid with a free surface
TL;DR: In this paper, the full set of equations of motion for the classical water wave problem in Eulerian co-ordinates is obtained from a Lagrangian function which equals the pressure.
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Partial Differential Equations of Mathematical Physics
TL;DR: Bateman as mentioned in this paper argued that the main work of mathematical physicists is to represent the sequence of phenomena in time and space by means of differential equations, and to solve these equations. But the discovery of wave mechanics restored the status quo ante, and today differential equations are more important than ever before.
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A Nonlinear Theory of Sloshing in Rectangular Tanks
TL;DR: In this paper, a nonlinear, inviscid boundary-value problem of potential flow is formulated and the steady-state solution is found as a power series in epsilon to the one-third correctly to the order Epsilon.
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Nonlinear surface waves in closed basins
TL;DR: The Lagrangian and Hamiltonian for nonlinear gravity waves in a cylindrical basin are constructed in terms of the generalized co-ordinates of the free-surface displacement, {qn(t)} ≡ q, thereby reducing the continuum-mechanics problem to one in classical mechanics as discussed by the authors.