Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Turbulence of Capillary Waves on Shallow Water

Version 1 : Received: 15 February 2021 / Approved: 17 February 2021 / Online: 17 February 2021 (09:59:01 CET)

A peer-reviewed article of this Preprint also exists.

Vladimirova, N.; Vointsev, I.; Skoba, A.; Falkovich, G. Turbulence of Capillary Waves on Shallow Water. Fluids 2021, 6, 185. Vladimirova, N.; Vointsev, I.; Skoba, A.; Falkovich, G. Turbulence of Capillary Waves on Shallow Water. Fluids 2021, 6, 185.

Journal reference: Fluids 2021, 6, 185
DOI: 10.3390/fluids6050185

Abstract

We consider the developed turbulence of capillary waves on shallow water. Analytic theory shows that an isotropic cascade spectrum is unstable with the 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.

Subject Areas

turbulence; capillary wave; spectrum; anisotropy

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