HR: 1340h
AN: SA53A-1150 [Abstracts]
TI: Spectral properites and scale dependent transport in simplified stratified
systems subject to sporadic threshold adjustment
AU: * Liu, H
EM: liuh@ucar.edu
AF: National Center for Atmospheric Research, High Altitude Observatory, P.O.Box 3000, Boulder, CO
80307-3000
United States
AB:
A stratified atmosphere can be essentially characterized by systems subject
to stochastic forcing and threshold adjustment due to convective and shear
instability, and the vertical transport can be approximated by eddy
diffusion/viscosity. In the linear limit, the equations can be solved
explicitly, and the spectra could be determined and are shown to follow
power-law distributions, and the eddy transport coefficients are scale
independent. The nonlinear equations are also shown to support
scale invariance under rather general conditions, and the power-law indices
of the spectra are derived from the analysis. These indices, as well as those
in the linear limit, are confirmed by numerical simulations. The power-law
indices of the ``universal'' spectra of temperature and horizontal wind
versus vertical wavenumber and frequency from previous observations are shown
to fall in the range determined by the linear and nonlinear limit. This theory,
therefore, provides a possible explanation to the universal vertical wavenumber
and frequency spectra and their variability. By relating the universal spectra
with the sporadic threshold adjustment due to convective or shear instability,
which is ubiquitous in stratified fluid systems, the difficulty of previous
theories to associate the time and location independent spectral feature with
the highly time and location dependent gravity waves is avoided. The analysis
also suggests that the vertical eddy transport coefficients are scale dependent,
and the implication of this scale dependence will be explored.
DE: 0341 Middle atmosphere: constituent transport and chemistry (3334)
DE: 3265 Stochastic processes (3235, 4468, 4475, 7857)
DE: 3379 Turbulence (4490)
DE: 3384 Acoustic-gravity waves
SC: SPA-Aeronomy [SA]
MN: Fall Meeting 2005