Atmospheric energetics in the wavelet domain. Part I: Governing equations and interpretation for idealized flows

Journal of the Atmospheric Sciences

Volumn 59, Issue 7, 2002, Pages 1182-1197

  Fournier, Aimé ^a  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BACKSCATTERING; METHOD OF MOMENTS; VORTEX FLOW; WAVELET TRANSFORMS;

MOMENTUM EQUATIONS;

ATMOSPHERIC MOVEMENTS;

ENERGETICS; FOURIER TRANSFORM; KINETIC ENERGY; WAVELET;

EID: 0036540011     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(2002)059<1182:AEITWD>2.0.CO;2     Document Type: Article

References (44)

1. A dynamically adaptive wavelet method for solving partial differential equations
2. On factored FIR approximation of IIR filters
3. On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases
4. A mathematical model illustrating the theory of turbulence
5. Wavelet representation of lower atmospheric long nonlinear wave dynamics, governed by the Benjamin-Davis-Ono-Burgers equation
6. Wavelet analysis of observed geopotential and wind: Blocking and local energy coupling across scales
7. Transfers and fluxes of wind kinetic energy between orthogonal wavelet components during atmospheric blocking
8. An introduction to orthonormal wavelet analysis with shift invariance: Application to observed atmospheric blocking spatial structure
9. Spectrum and energy transfer in steady Burgers turbulence
10. Budgets of lineal and nonlineal turbulent kinetic energy under strong shear conditions
11. Scale-dependent properties of optimal perturbations on a zonally varying barotropic flow
12. Wavelet analysis of the energy transfer caused by convective terms: Application to the Burgers shock
13. Removal of the phase oscillation observed in wavelet analysis in terms of spatial filtering
14. On scale interactions in the tropics during northern summer
15. Local or nonlocal? Orthonormal divergence-free wavelet analysis of non-linear interactions in turbulence
16. Downstream amplification: A possible precursor to major freeze events over southeastern Brazil
17. Wavelet algorithms for numerical resolution of partial differential equations
18. Dual spectra and mixed energy cascade of turbulence in the wavelet representation
19. Observational aspects of the low-frequency intraseasonal variability of the atmosphere in middle latitudes
20. An exact integral of complete spectral equations for unsteady one-dimensional flow
21. Equations governing the energetics of the larger scales of atmospheric turbulence in the domain of wave number
22. Large-scale atmospheric energetics in the wave-number domain
23. Finite amplitude density variations in a self-gravitating isothermal gas layer
24. Symmetries, conservation laws, and Hamiltonian structure in geophysical fluid dynamics
25. On nonlinear cascades in large-scale atmospheric flow
26. On finite amplitude oscillations in laminar mixing layers
27. A multilevel wavelet collocation method for solving partial differential equations in a finite domain
28. The phase-corrected undecimated discrete wavelet packet transform and its application to interpreting the timing of events
29. Inertial transfers in the helical decomposition
30. Wavelets, period doubling, and time-frequency localization with application to organization of convection over the tropical western Pacific
31. Empirical orthogonal function analysis of the weakly convective atmospheric boundary layer. Part II: Eddy energetics
32. Scale disparity and spectral transfer in anisotropic numerical turbulence