Numerical and analytical study shows resonant processes lead capillary-wave turbulence to the Zakharov-Filonenko spectrum whose range in finite systems is limited by grid discreteness, with derived scaling on steepness and size.
Influence of the condensate and inverse cascade on the direct cascade in wave turbulence
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abstract
During direct numerical simulation of the isotropic turbulence of surface gravity waves in the framework of Hamiltonian equations formation of the long wave background or condensate was observed. Exponents of the direct cascade spectra at the different levels of an artificial condensate suppression show a tendency to become closer to the prediction of the wave turbulence theory at lower levels of condensate. A simple qualitative explanation of the mechanism of this phenomenon is proposed.
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physics.flu-dyn 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Weakly nonlinear interaction of capillary waves in a finite system: leading interaction process and scales' range of direct energy cascade
Numerical and analytical study shows resonant processes lead capillary-wave turbulence to the Zakharov-Filonenko spectrum whose range in finite systems is limited by grid discreteness, with derived scaling on steepness and size.