Three-Dimensional Instability of Finite-Amplitude Water Waves

Creators: McLean, J. W.; Ma, Y. C.; Martin, D. U.; Saffman, P. G.; Yuen, H. C.

Abstract

Computations based on the full water-wave equations reveal that there are two distinct types of instabilities for gravity waves of finite amplitude on deep water. One is predominantly two dimensional and is related to all the known results for special cases. The other is predominantly three dimensional and becomes dominant when the wave steepness is sufficiently large.

Additional Information

©1981 The American Physical Society. Received 26 September 1980. We wish to thank Dr. A. Minzoni for helpful discussions on parametric instability in wave systems. This work was partly supported by the U.S. Office of Naval Research.

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