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Re-study on Recurrence Period of Stokes Wave Train with High Order Spectral Method

http://hdl.handle.net/20.500.12678/0000007091
843733cd-4f8f-428f-9449-ae0df86c72d2
8780a5ce-88a8-4e57-a037-e6c5410cf59d
Publication type
Journal article
Upload type
Publication
Title
Title Re-study on Recurrence Period of Stokes Wave Train with High Order Spectral Method
Language en
Publication date 2011-09-08
Authors
Mee Mee Soe
Description
Owing to the Benjamin-Feir instability, the Stokes wave train experiences a modulation-demodulation process, and presents a recurrence characteristics. Stiassnie and Shemer researched the unstable evolution process and provided a theoretical formulation for the recurrence period in 1985 on the basis of the nonlinear cubic Schrödinger equation (NLS). However, NLS has limitations on the narrow band and the weak nonlinearity. The recurrence period is re-investigated in this paper by using a highly efficient High Order Spectral (HOS) method, which can be applied for the direct phase-resolved simulation of the nonlinear wave train evolution. It is found that the Stiassnie and Shemer’s formula should be modified in the cases with most unstable initial conditions, which is important for such topics as the generation mechanisms of freak waves. A new recurrence period formula is presented and some new evolution characteristics of the Stokes wave train are also discussed in details.
Keywords
Benjamin-Feir instability, High Order Spectral (HOS) method, recurrence period, nonlinear wave-wave interaction
Identifier DOI 10.1007/s13344-011-0054-1, ISSN 0890-5487
Journal articles
© 2011 Chinese Ocean Engineering Society and Springer-Verlag Berlin Heidelberg
Re-study on Recurrence Period of Stokes Wave Train with High Order Spectral Method
pp. 679 − 686
Vol. 25, No. 4
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