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Eulerian Mapping Closure Approach for Probability Density Function of Concentration in Shear FlowsThe Eulerian mapping closure approach is developed for uncertainty propagation in computational fluid mechanics. The approach is used to study the Probability Density Function (PDF) for the concentration of species advected by a random shear flow. An analytical argument shows that fluctuation of the concentration field at one point in space is non-Gaussian and exhibits stretched exponential form. An Eulerian mapping approach provides an appropriate approximation to both convection and diffusion terms and leads to a closed mapping equation. The results obtained describe the evolution of the initial Gaussian field, which is in agreement with direct numerical simulations.
Document ID
20020052438
Acquisition Source
Langley Research Center
Document Type
Contractor Report (CR)
Authors
He, Guowei (Institute for Computer Applications in Science and Engineering Hampton, VA United States)
Bushnell, Dennis M.
Date Acquired
September 7, 2013
Publication Date
May 1, 2002
Subject Category
Fluid Mechanics And Thermodynamics
Report/Patent Number
ICASE-2002-9
NAS 1.26:211627
NASA/CR-2002-211627
Funding Number(s)
CONTRACT_GRANT: NAS1-97046
PROJECT: RTOP 505-90-52-01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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