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Employing Sensitivity Derivatives to Estimate Uncertainty Propagation in CFDTwo methods that exploit the availability of sensitivity derivatives are successfully employed to predict uncertainty propagation through Computational Fluid Dynamics (CFD) code for an inviscid airfoil problem. An approximate statistical second-moment method and a Sensitivity Derivative Enhanced Monte Carlo (SDEMC) method are successfully demonstrated on a two-dimensional problem. First- and second-order sensitivity derivatives of code output with respect to code input are obtained through an efficient incremental iterative approach. Given uncertainties in statistically independent, random, normally distributed flow parameters (input variables); these sensitivity derivatives enable one to formulate first- and second-order Taylor Series approximations for the mean and variance of CFD output quantities. Additionally, incorporation of the first-order sensitivity derivatives into the data reduction phase of a conventional Monte Carlo (MC) simulation allows for improved accuracy in determining the first moment of the CFD output. Both methods are compared to results generated using a conventional MC method. The methods that exploit the availability of sensitivity derivatives are found to be valid when considering small deviations from input mean values.
Document ID
20040085508
Acquisition Source
Langley Research Center
Document Type
Preprint (Draft being sent to journal)
Authors
Putko, Michele M.
(Military Academy West Point, NY, United States)
Newman, Perry A.
(NASA Langley Research Center Hampton, VA, United States)
Taylor, Arthur C., III
(Old Dominion Univ. Norfolk, VA, United States)
Date Acquired
August 21, 2013
Publication Date
January 1, 2004
Subject Category
Statistics And Probability
Meeting Information
Meeting: 9th ASCE EMD/SEI/GU/AD Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability
Location: Albuquerque, NM
Country: United States
Start Date: July 26, 2004
End Date: July 28, 2004
Sponsors: American Society of Civil Engineers
Funding Number(s)
OTHER: 23-762-45-G1
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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