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 language | English |
|---|---|
| Pages (from-to) | 165-177 |
| Number of pages | 13 |
| Journal | Journal of Fluid Mechanics |
| Volume | 190 |
| DOIs | |
| Publication status | Published - 1 Jan 1988 |
Research Groups and Themes
- Engineering Mathematics Research Group
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