Turbulence dynamics in the wavelet representation
Abstract
The phenomenon of smallscale intermittency is shown to motivate the decomposition of the velocity fields into modes that exhibit both localization in wavenumber and physical space. We review some basic properties of such a decomposition, called the wavelet transform. The wavelettransformed NavierStokes equations are derived, and we define a new quantity Pi(r, vectorx, t), which is the flux of kinetic energy to scales smaller than r at position vectorx (at time t). The main goals of this research are also summarized.
 Publication:

Annual Research Briefs, 1989
 Pub Date:
 February 1990
 Bibcode:
 1990arb..nasa..117M
 Keywords:

 Energy Transfer;
 Homogeneous Turbulence;
 Isotropic Turbulence;
 Kinetic Energy;
 NavierStokes Equation;
 Time Series Analysis;
 Turbulent Flow;
 Computational Fluid Dynamics;
 Energy Spectra;
 Intermittency;
 Velocity Distribution;
 Wave Propagation;
 Fluid Mechanics and Heat Transfer