LAMINATED WAVE TURBULENCE: GENERIC ALGORITHMS I

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 (...

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Bibliographic Details
Published inInternational journal of modern physics. C, Computational physics, physical computation Vol. 17; no. 11; pp. 1579 - 1596
Main Authors KARTASHOVA, ELENA, KARTASHOV, ALEXEY
Format Journal Article
LanguageEnglish
Published World Scientific Publishing Company 01.11.2006
Subjects
complexity of algorithm
Laminated wave turbulence
discrete wave systems
computations in integers
transcendental algebraic equations
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ISSN0129-1831
1793-6586
DOI10.1142/S0129183106010042

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Summary: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 1012 and more. In this paper we present a generic algorithm for polynomial dispersion functions and illustrate it by application to gravitational water waves and oceanic planetary waves.
ISSN:0129-1831
1793-6586
DOI:10.1142/S0129183106010042