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Statistical Modeling in Wavelet Domain with Application in Turbulence

小波域统计建模及其在湍流中的应用

基本信息

批准号：
0004173
负责人：
Marianna Pensky
金额：
$ 6万
依托单位：
The University of Central Florida Board of Trustees
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2000
资助国家：
美国
起止时间：
2000-09-15 至 2004-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=0004173&HistoricalAwards=false
关键词：
Statistical Modeling Wavelet Domain Application

项目摘要

This collaborative proposal involves development of statistical concepts, theories and methods for multiresolution models and analyses of measurements and structures in atmospheric turbulence. It draws on recent developments in Bayesian multiscale modeling to understand the time-scale aspects of turbulence where the notions of scale and hierarchy are intrinsic. Multiresolution statistical modeling approaches are applied to vast geophysical measurements arising from air quality field experiments and simulations in order to identify key structural properties of atmospheric turbulence responsible for the transport of scalars, such as ozone. To achieve these objectives a team of researchers with expertise in statistical modeling and multiscale methods (M. Pensky and B. Vidakovic) and measurement and modeling of atmospheric turbulence (G. Katul) are jointly collaborating together.The aplicability of this project is improved fundamental understanding of atmospheric transport via novel statistical techniques. Atmospheric transport, key to describing air-quality, is a complex phenomena involving modeling of turbulence which is responsible for the dispersion of polutants. The applicability of the proposed methodology will be directly tested on high frequency velocity, temperature, and ozone concentration measurements collected at Duke Forest, Durham, North Carolina. Partial support for this award is provided by the Physical Meteorology Program in the Division of Atmospheric Sciences.

这项合作建议涉及发展多分辨率模型的统计概念、理论和方法，以及分析大气湍流的测量和结构。它利用贝叶斯多尺度建模的最新发展来理解湍流的时间尺度方面，其中尺度和层次结构的概念是固有的。多分辨率统计建模方法被应用到大量的地球物理测量所产生的空气质量现场实验和模拟，以确定大气湍流的标量，如臭氧的运输负责的关键结构特性。为了实现这些目标，一个在统计建模和多尺度方法（M。彭斯基和B。Vidakovic）和大气湍流的测量和模拟（G. Katul）共同合作。该项目的可应用性是通过新的统计技术提高对大气传输的基本理解。大气传输是描述空气质量的关键，是一个复杂的现象，涉及到湍流的模拟，负责污染物的扩散。所提出的方法的适用性将直接测试高频速度，温度和臭氧浓度测量收集在杜克森林，达勒姆，北卡罗来纳州。该奖项的部分支持由大气科学部的物理气象学计划提供。