Laminated Wave Turbulence: Generic Algorithms I

Abstract

The model of laminated wave turbulence presented recently unites both types of turbulent wave systems - statistical wave turbulence (introduced by Kolmogorov and brought to the present form by numerous works of Zakharov and his scientific school since nineteen sixties) and discrete wave turbulence (developed in the works of Kartashova in nineteen nineties). The main new feature described by this model is the following: discrete effects do appear not only in the long-wave part of the spectral domain (corresponding to small wave numbers) but all through the spectra thus putting forth a novel problem - construction of fast algorithms for computations in integers of order $10^{12}$ and more. In this paper we present a generic algorithm for polynomial dispersion functions and illustrate it by application to gravity and planetary waves.

30 pages, 12 figures, submitted to J. Comp. Phys

References in corpus (1)

• Discreteness and its effect on the water-wave turbulence

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• Cluster Dynamics of Planetary Waves
• Laminated Wave Turbulence: Generic Algorithms III
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• Time scales and structures of wave interaction
• Discrete resonant Rossby/drift wave triads: an explicit parameterisation and a fast direct numerical search algorithm
• Resonance enhancement by suitably chosen frequency detuning