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Journal ArticleDOI

The flow due to a slender ship moving over a wavy wall in shallow water

TLDR
In this article, the vertical force and pitching moment coefficients are calculated as functions of the reduced frequency and Froude number with a view towards possible application to ship safety considerations, and the method of matched asymptotic expansions is used to take advantage of the simplified governing equations in the near and far fields.
Abstract
The problem under investigation is the unsteady subcritical potential flow generated by a slender ship translating over a wavy wall in shallow water. The method of matched asymptotic expansions is used to take advantage of the simplified governing equations in the near and far fields. The vertical force and pitching moment coefficients are calculated as functions of the reduced frequency and Froude number with a view towards possible application to ship safety considerations.

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Citations
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Journal ArticleDOI

Wave diffraction by elliptical breakwaters in shallow water

TL;DR: In this paper, the scattering of waves by both floating and submerged stationary elliptical breakwaters is investigated by means of linearised shallow water wave theory, which leads to solutions for the fluid velocity potential in terms of Mathieu functions of real argument.
Journal ArticleDOI

Ship squat in water of varying depth

TL;DR: In this article, two theories are described which predict ship squat in water of varying depth, and a numerical method is developed and used to find the squat of a ship passing a step depth change.
Dissertation

Modelling of ship-bank interaction and ship squat for ship-handling simulation

TL;DR: In this paper, a quasi-steady approach was adopted, where the prediction at each time step is based on steady-state heave force and pitch moment in uniform water depth.
Journal Article

Dynamic draught of container ships in shallow water

TL;DR: In this article, measurements were made of the vertical elevation of three points on each ship, using real-time kinematic GPS receivers measuring at 1 second intervals, by comparing the dynamic readings to stationary readings taken at the berth, the change in vertical position of the ship when under way (relative to the static position) could be determined.
Journal ArticleDOI

Modelling the hydrodynamic effect of abrupt water depth changes on a ship travelling in restricted waters using CFD

TL;DR: In practice, the underwater cross-sectional area and shape of the waterway can be estimated using a single, constant underwater canal cross-section at a time as mentioned in this paper, which is not the case in this paper.
References
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Journal ArticleDOI

Gaussian Quadrature Formulas

Journal ArticleDOI

Shallow water flows past slender bodies

TL;DR: In this article, the problem of disturbance to a stream of shallow water due to an immersed slender body, with special application to the steady motion of ships in shallow water, is solved, and the wave resistance and vertical forces at both sub- and supercritical speeds are used to predict sinkage and trim of ships.

A rational strip theory of ship motions: part i.

TL;DR: In this paper, the exact ideal-fluid boundary-value problem is formulated for a ship forced to heave and pitch sinusoidally in otherwise calm water, which is then simplified by applying three restrictions: 1) the body must be slender; 2) the motions must be small in amplitude compared with ship beam or draft; 3) the frequency of oscillation, based on the slenderness parameter.
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