The superharmonic normal mode instabilities of nonlinear deep-water capillary waves

S. J. Hogan*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

9 Citations (Scopus)

Abstract

We present results of the calculation of superharmonic normal mode perturbations to the exact nonlinear deep-water capillary wave solution of Crapper (1957). By using the method of Longuet-Higgins (1978a) we are able for the first time to consider all waveheights up to and including the maximum for two-dimensional perturbations. We find agreement with the recent asymptotic analysis of Hogan, Gruman & Stiassnie (1988). Superharmonic instabilities are found at various waveheights less than the maximum.

Original languageEnglish
Pages (from-to)165-177
Number of pages13
JournalJournal of Fluid Mechanics
Volume190
DOIs
Publication statusPublished - 1 Jan 1988

Fingerprint Dive into the research topics of 'The superharmonic normal mode instabilities of nonlinear deep-water capillary waves'. Together they form a unique fingerprint.

Cite this