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DOI 10.1007/s10665-009-9303-1 Waves due to an oscillating and translating disturbance
 

Summary: J Eng Math
DOI 10.1007/s10665-009-9303-1
Waves due to an oscillating and translating disturbance
in a two-layer density-stratified fluid
Mohammad-Reza Alam Yuming Liu
Dick K. P. Yue
Received: 30 April 2008 / Accepted: 5 June 2009
Springer Science+Business Media B.V. 2009
Abstract Wave generation due to the steady translational motion of an oscillatory disturbance in a two-layer
density-stratified fluid is studied. In the context of linearized two- and three-dimensional potential flow, explicit
expressions for the Green functions are derived and limiting cases discussed. Of special interest are the waves in
the far field. The number and amplitudes of these waves depend on the characteristics of the disturbance (location,
speed and oscillation frequency) and the ocean (stratified layer density and depth ratios). These dependencies are
elucidated in concrete examples. An interesting finding, for example, is that, for constant frequency, there are crit-
ical speeds (as functions of density and depth ratios) at which the specific amplitudes attain maxima. For the more
general problem and as an independent validation, an efficient numerical scheme for the problem based on a spectral
method is developed. Direct simulation results compare well with analytical predictions in the near- and far-fields
and offer a powerful tool for practical problems with general time-dependent motions of one or more bodies.
Keywords Green function Moving and oscillating disturbance Spectral method Two-layer fluid
1 Introduction

  

Source: Alam, Mohammad-Reza - Department of Mechanical Engineering, Massachusetts Institute of Technology (MIT)

 

Collections: Engineering