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Non-Intrusive Polynomial Chaos for the Stochastic CFD Study of a Supersonic Pressure Probe

Hosder, Serhat and Maddalena, Luca (2012) Non-Intrusive Polynomial Chaos for the Stochastic CFD Study of a Supersonic Pressure Probe. In: 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition. American Institute of Aeronautics and Astronautics , Reston, VA, Art. No. 2009-1129. ISBN 978-1-60086-973-0. https://resolver.caltech.edu/CaltechAUTHORS:20200103-135336419

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Abstract

The Point-Collocation Non-Intrusive Polynomial Chaos (NIPC) method utilizing Euler CFD simulations has been applied to the stochastic analysis of a pressure probe designed for Mach number measurements in three-dimensional supersonic flows with moderate swirl. The supersonic pressure probe is in the shape of a truncated cone with a flat nose opening for total pressure measurement and includes four holes on the cone surface for static pressure measurements. The objective of the present stochastic CFD study is to quantify the uncertainty in the pressure measurements and the Mach number due to the uncertainty in the cone angle, the nose diameter, and the location of the static pressure port on the cone surface. Each uncertain parameter was modeled as a uniform random variable with a specified range and mean value based on the tolerances supplied by the manufacturer. The uncertainty information for various output variables obtained with a second order polynomial chaos expansion fell within the confidence interval of the Latin Hypercube Monte Carlo statistics. The second order NIPC required only 20 CFD solutions to obtain the uncertainty inforu1ation, whereas the Monte Carlo simulations were performed with 1000 samples (CFD solutions), indicating the computational efficiency of the polynomial chaos approach. The relative variation in the Mach number due to the specified geometric uncertainty was found to be less than 1%. The sensitivity analysis obtained from the polynomial chaos expansions revealed that the Mach number is an order of magnitude more sensitive to the variation in the cone angle than the uncertainty in the other geometric variables.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.2514/6.2009-1129DOIArticle
Additional Information:© 2009 by Hosder and Maddalena. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. Published Online: 15 Jun 2012.
Group:GALCIT
Other Numbering System:
Other Numbering System NameOther Numbering System ID
AIAA Paper2009-1129
DOI:10.2514/6.2009-1129
Record Number:CaltechAUTHORS:20200103-135336419
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200103-135336419
Official Citation:Non-Intrusive Polynomial Chaos for the Stochastic CFD Study of a Supersonic Pressure Probe. Serhat Hosder and Luca Maddalena. 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition. January 2009. doi: 10.2514/6.2009-1129
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100510
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Jan 2020 03:47
Last Modified:16 Nov 2021 17:54

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