Inverse cascade of gravity waves in the presence of condensate: numerical simulation

Abstract

During the set of direct numerical simulations of the forced isotropic turbulence of surface gravity waves in the framework of primordial dynamical equations, the universal inverse cascade spectrum was observed. The slope of the spectrum is the same (in the margin of error) for different levels of pumping and nonlinearity as well as dissipation present in the system. In all simulation runs formation of the inverse cascade spectrum was accompanied by appearance of strong long wave background (condensate). The observed slope of the spectrum $\sim k^{-3.07}$ is different from the constant wave action flux solution predicted by the Theory of Wave Turbulence $\sim k^{-23/6}$.

9 pages, 2 figures, 1 table

References in corpus (9)

• Growing condensate in two-dimensional turbulence
• Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions
• Gravity surface wave turbulence in a laboratory flume
• Weak Turbulent Kolmogorov Spectrum for Surface Gravity Waves
• Experiments in Surface Gravity-Capillary Wave Turbulence
• Energy spectrum of two-dimensional acoustic turbulence
• Testing wave turbulence theory for Gross-Pitaevskii system
• Saturation of the inverse cascade in surface gravity wave turbulence
• Direct verification of the kinetic description of wave turbulence for finite-size systems dominated by interactions among groups of 6 waves

Cited by in corpus (3)

• Nonlocal gravity wave turbulence in presence of condensate
• Simulation of the Wave Turbulence of a Liquid Surface Using the Dynamic Conformal Transformation Method
• Role of triad interactions in spectral evolution of surface gravity waves in deep water