Multiresolution Feature Analysis and Wavelet Decomposition of Atmospheric Flows. Phase 1
Abstract
This is the final technical report on application of fractal concepts to the analysis of atmospheric processes for the period from 4/1/89 through 9/30/91. The goal of the research was to improve understanding of atmospheric processes through the application of analytical approaches derived from the methods that have been associated with fractal and wavelet methods. This was the first phase of ongoing work that is now supported by a new grant for the period to 9/30/94. There were two major thrusts of this work to date. First, multiresolution feature analysis was applied to an atmospheric data set. In the process the analysis was extended to three-dimensional vector fields. To make the three-dimensional vector features imaginable, a variant of the Lorenz concept of empirical orthogonal function or EOF was adopted. These allow representation of empirically-defined patterns of small-scale atmospheric motions. Second, a strategy for the generalized wavelet analysis of homogeneous turbulence was developed. The strategy calls for decomposition of a collection of direct numerical simulation data sets for homogeneous turbulence in a stratified Boussinesq fluid subject to an imposed shear, in both two and three dimensions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1992
- Accession Number
- ADA259849
Entities
People
- Francis L. Ludwig
- James C. Cross Iii
- Robert Lynnwood Street
Organizations
- Stanford University