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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A modal approach to second-order analysis of sloshing using boundary element method
TL;DR: In this article, a modal approach for the non-linear analysis of sloshing in an arbitrary-shape tank under both horizontal and vertical excitations was developed, where the perturbation technique was employed and the potential flow was adopted as the liquid slosing model.
Journal ArticleDOI
Hydrodynamics of a 2D vessel including internal sloshing flows
TL;DR: In this paper, a series of two-dimensional model tests have been carried out to study the hydrodynamic performance of a floating liquefied natural gas (FLNG) section including internal sloshing oscillations.
Journal ArticleDOI
Numerical simulation of two-layered liquid sloshing in tanks under horizontal excitations
TL;DR: In this article, a numerical model NEWTANK was developed to study two-layered liquid sloshing under horizontal external excitations, which solved spatially averaged NSEs on a non-inertial coordinate for external excitation.
Journal ArticleDOI
Natural sloshing frequencies in rigid truncated conical tanks
TL;DR: In this paper, the authors developed two efficient and accurate numerical analytical methods for engineering computation of natural sloshing frequencies and modes in the case of truncated circular conical tanks, based on a Ritz Treftz variational scheme with two distinct analytical harmonic functional bases.
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.
Journal ArticleDOI
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.