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Title: Turbulence of Capillary Waves on Shallow Water
We consider the developed turbulence of capillary waves on shallow water. Analytic theory shows that an isotropic cascade spectrum is unstable with respect to small angular perturbations, in particular, to spontaneous breakdown of the reflection symmetry and generation of nonzero momentum. By computer modeling we show that indeed a random pumping, generating on average zero momentum, produces turbulence with a nonzero total momentum. A strongly anisotropic large-scale pumping produces turbulence whose degree of anisotropy decreases along a cascade. It tends to saturation in the inertial interval and then further decreases in the dissipation interval. Surprisingly, neither the direction of the total momentum nor the direction of the compensated spectrum anisotropy is locked by our square box preferred directions (side or diagonal) but fluctuate.  more » « less
Award ID(s):
1814619
PAR ID:
10288383
Author(s) / Creator(s):
; ; ;
Date Published:
Journal Name:
Fluids
Volume:
6
Issue:
5
ISSN:
2311-5521
Page Range / eLocation ID:
185
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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