A coupled-mode technique for the transformation of ship-generated waves over variable bathymetry regions

• Published in: Applied Ocean Research
• Main Author: Belibassakis, KA
• Format: Article in Journal/Newspaper
• Language: English
• Published: ELSEVIER SCI LTD 2003
• Subjects: Coupled-mode model; Ship-wave wash; Variable bathymetry; Engineering; Ocean; Oceanography; Coastal zones; Computational fluid dynamics; Diffraction; Frequency domain analysis; Numerical analysis; Refraction; Ships; Transfer functions; Water waves; Wave propagation; Near field waves; Ocean research; Ship-wave spectra; bathymetry; ship motion; wave diffraction; Arctic; Norway
• Online Access: http://dspace.lib.ntua.gr/handle/123456789/15054; https://doi.org/10.1016/j.apor.2004.05.002

In the present work, a coupled-mode technique is applied to the transformation of ship's waves over variable bathymetry regions, characterised by parallel depth-contours, without any mild-slope assumption. This method can be used, in conjunction with ship's near-field wave data in deep water or in constant-depth, as obtained by the application of modern (linearised or non-linear) ship computational fluid dynamic (CFD) codes, or experimental measurements, to support the study of wave wash generated by fast ships and its effects on the nearshore/coastal environment. Under the assumption that the ship's track is straight and parallel to the depth-contours, and relatively far from the bottom irregularity, the problem of propagation-refraction-diffraction of ship-generated waves in a coastal environment is efficiently treated in the frequency domain, by applying the consistent coupled-mode model developed by Athanassoulis and Belibassakis [J. Fluid Mech. 1999;389] to the calculation of the transfer function enabling the pointwise transformation of ship-wave spectra over the variable bathymetry region. Numerical results are presented for simplified ship-wave systems, obtained by the superposition of source-sink Havelock singularities simulating the basic features of the ship's wave pattern. The spatial evolution of the ship-wave system is examined over a smooth but steep shoal, resembling coastal environments, both in the subcritical and in the supercritical case. Since any ship free-wave system, either in deep water or in finite depth, can be adequately modelled by wavecut analysis and suitable distribution of Havelock singularities e.g. as presented by Scrags [21st Int. Conf. Offshore Mech. Arctic Eng., OMAE2002, Oslo, Norway, June 2002], the present method, in conjunction with ship CFD codes, supports the prediction of ship wash and its impact on coastal areas, including the effects of steep sloping-bed parts. (C) 2004 Elsevier Ltd. All rights reserved.