On waves due to rolling of a ship in water of finite depth
type: Item
instance of: scholarly article
title: On waves due to rolling of a ship in water of finite depth
zbMATH Open document ID: 0887.76012
DOI: 10.1007/BF00787137
author: D. P. Dolai
author: Sudeshna Banerjea
author: B. N. Mandal
published in: Archive of Applied Mechanics
publication date: 1998-06-01T00:00:00Z
review text: The problem of the generation of waves due to small rolling oscillations of a thin vertical plate partially immersed in uniform finite-depth water is investigated by utilizing two mathematical methods assuming the linearized theory of water waves. In the first method, the use of eigenfunction expansion of the velocity potentials on the two sides of the plate produces the amplitude of wave motion at infinity in terms of an integral involving the unknown horizontal velocity across the gap, and also in terms of another integral involving the unknown difference of the potentials across the plate. In the second method, the problem is formulated in terms of a hypersingular integral equation involving the difference of the potential functions across the plate. The hypersingular integral equation is solved numerically, and its numerical solution is used to compute the wave amplitude at infinity. The two methods produce almost the same numerical results.
Mathematics Subject Classification ID: 76B20
Mathematics Subject Classification ID: 76M25
zbMATH DE Number: 1066903
zbMATH Keywords: wave amplitude
zbMATH Keywords: eigenfunction expansion of velocity potentials
zbMATH Keywords: thin vertical plate
zbMATH Keywords: linearized theory
zbMATH Keywords: hypersingular integral equation
MaRDI profile type: Publication
cites work: ON THE WAVES DUE TO THE ROLLING OF A SHIP
cites work: A Note on the Waves Produced by the Small Oscillations of a Partially Immersed Vertical Plate
cites work: A Note on Waves Due to Rolling of a Partially Immersed Nearly Vertical Plate
cites work: On waves due to rolling of a vertical plate
cites work: Q5823067
full work available at URL: https://doi.org/10.1007/bf00787137
OpenAlex ID: W2041125620
description: scientific article; zbMATH DE number 1066903