Quasi-Wavelet Models for Atmospheric Turbulence
NEW MEXICO STATE UNIV LAS CRUCES
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Turbulence is generally conceived as a collection of eddies of many different sizes Hinze, 1975 Batchelor, 1953. The quasi-wavelet QW model discussed in this paper is an attempt to develop a mathematical representation for the turbulence that more closely resembles this physical picture than Fourier modes or customary wavelets. Like customary waveletsFarge 1992 Meneveau 1994 the QW representation is based on self-similar localized functions. However the orientations and positions of the quasi-wavelets are random and the QW basis functions are not required to be orthonormal or to form a mathematically complete set. Some other important features of quasi-wavelets are They naturally have ensemble statistics close to that of real turbulence as a consequence of the realistic basis functions. They can simultaneously provide information about scales of motion and spatial intermittency. They potentially allow simplified models of anisotropy and inhomogeneity. They can readily be used to generate synthetic turbulence fields.
- Fluid Mechanics