Some new gravity waves in water of finite depth
Abstract
In a recent paper Chen and Saffman showed that periodic gravity waves in water of infinite depth are not unique. They presented explicit computations for new families of waves which they termed irregular waves. In the present paper the authors give conclusive numerical evidence that periodic gravity waves in water of arbitrary uniform depth are not unique. Explicit computations of irregular waves in water of finite depth are presented. In addition, they show that Chen and Saffman's bifurcation point for an irregular wave of class 2 is not unique. Results suggest the existence of an infinite number of such bifurcation points.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- March 1983
- Bibcode:
- 1983STIN...8336408V
- Keywords:
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- Gravity Waves;
- Water Depth;
- Computation;
- Differential Equations;
- Independent Variables;
- Integral Equations;
- Numerical Analysis;
- Fluid Mechanics and Heat Transfer