Quasi-Wavelet Models for Atmospheric Turbulence

Abstract

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 wavelets(Farge 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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2002
Accession Number
ADA413962

Entities

People

  • D. K. Wilson
  • George H. Goedecke
  • Harry J. Auvermann
  • Vladimir E. Ostashev

Organizations

  • New Mexico State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Atmospheric Motion
  • Buildings And Structures
  • Electronic Mail
  • Equations
  • Integrals
  • Military Research
  • New Mexico
  • Scalar Functions
  • Simulations
  • Spectra
  • Stratified Fluids
  • Three Dimensional
  • Transitions
  • Turbulence

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  • Approximation Theory.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
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