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The nonlinear evolution and approximate scaling of directionally spread wave groups on deep water

Abstract:

The evolution of steep waves in the open ocean is nonlinear. In narrow-banded but directionally spread seas, this nonlinearity does not produce significant extra elevation but does lead to a large change in the shape of the wave group, causing, relative to linear evolution, contraction in the mean wave direction and lateral expansion. We use the nonlinear Schrödinger equation (NLSE) to derive an approximate analytical relationship for these changes in group shape. This shows excellent agreeme...

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Publication status:
Published

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Publisher copy:
10.1098/rspa.2012.0029

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Institution:
University of Oxford
Department:
Oxford, MPLS, Engineering Science, Civil Engineering
Role:
Author
Journal:
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume:
468
Issue:
2145
Pages:
2704-2721
Publication date:
2012-09-08
DOI:
EISSN:
1471-2946
ISSN:
1364-5021
URN:
uuid:4ba77f0a-e1d5-4d02-b6f0-31e63e2afc58
Source identifiers:
350191
Local pid:
pubs:350191

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