Accession Number:

ADA459373

Title:

Quasi-Wavelet Models of Turbulent Temperature Fluctuations Boundary-Layer Meteorology

Descriptive Note:

Journal article

Corporate Author:

NEW MEXICO STATE UNIV LAS CRUCES DEPT OF PHYSICS

Report Date:

2006-07-07

Pagination or Media Count:

24.0

Abstract:

Here, we contribute to the continuing development of the quasi-wavelet QW model of turbulence that is currently being used in simulations of sound propagation and scattering in the turbulent atmosphere. We show that a QW model of temperature fluctuations exists for any physically reasonable temperature spectrum of isotropic homogeneous turbulence, including the widely used von Karman spectrum. We derive a simple formula for the QW shape that reproduces a given spectrum exactly in the energy, transition, and inertial subranges. We also show that simple QW shapes can be normalized to yield an analytic expression for a temperature spectrum that is fairly close to any given spectrum. As an example, we match the Gaussian QW model to the von Karman spectrum as closely as possible, and nd remarkably good agreement in all subranges including the dissipation subrange. We also derive formulae for the variance and kurtosis associated with the QW model, and show how the latter depends on the QW packing fraction and size distribution. We also illustrate how the visual appearance of several QW-simulated temperature fluctuation fields depends on the QW packing fraction, size distribution, and kurtosis.

Subject Categories:

  • Atmospheric Physics
  • Computer Programming and Software
  • Acoustics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE