### ASA 126th Meeting Denver 1993 October 4-8

## 5aPA5. Connection between structural and statistical models of atmospheric
turbulence.

**George H. Goedecke
Paul M. Pellegrino
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*Dept. of Phys., NMSU, Las Cruces, NM 88003-0001
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**Harry J. Auvermann
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*Army Res. Lab., Battlefield Environment Directorate, WSMR, NM 88002-5501
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A structural model of isotropic homogeneous atmospheric turbulence is
presented, in which the turbulence is described as an ensemble of individual
localized quasistatic eddies or turbules. Turbules of different sizes a are
assumed self-similar with respect to their temperature and flow velocity
fields, and randomly positioned and oriented with no correlations. It is shown
that, in order to obtain agreement with the Kolmogorov acoustical scattering
spectrum, the usual relation between turbule flow speed v and size,
v(proportional to)a[sup 1/3], must be assumed, and, in addition, (i) turbule
number densities must be proportional to a[sup -3], and (ii) turbule sizes must
be in a geometric sequence, from the outer scale to the inner. It is also shown
that the Kolmogorov spectrum is insensitive to the turbule morphology, and that
the extent of the ``inertial range'' is influenced only weakly by the
morphology. Expressions for C[sub T][sup 2] and C[sub v][sup 2], and for the
boundaries of the inertial range, are derived in terms of the structural
parameters.