Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1994-11-15
Nonlinear Sciences
Chaotic Dynamics
Plain tex source code; file in ascii format; 24 pages 6 figures and 1 table (not included); table and figures available direct
Scientific paper
10.1063/1.868546
A simplified Lagrangean closure for the Navier-Stokes equation is used to study the production of intermittency in the inertial range of three dimensional turbulence. This is done using localized wavepackets following the fluid rather than a standard Fourier basis. In this formulation, the equation for the energy transfer acquires a noise term coming from the fluctuations in the energy content of the different wavepackets. Assuming smallness of the intermittency correction to scaling allows the adoption of a quasi-gaussian approximation for the velocity field, provided a cutoff on small scales is imposed and a finite region of space is considered. In this approximations, the amplitude of the local energy transfer fluctuations, can be calculated self consistently in the model. Definite predictions are obtained on the scaling of the wavepacket energy moments.
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