This paper proposes the criteria to adjust the polynomial order and the number of sample points employed in the nonintrusive polynomial chaos expansion method for effective uncertainty quantification. These criteria are calculated based on the total variations in approximated responses between different polynomial orders and different numbers of sample points to avoid Runge’s phenomena. The polynomial chaos expansion method adjusted by the proposed criteria is tested in analytic functions and then applied to the sonic boom propagation analysis considering the uncertainty in atmospheric temperature, humidity, and wind velocity. It is confirmed that the polynomial chaos expansion method with the proposed adjustment strategy can estimate the statistics of the sonic boom signature with sufficient accuracy and only 0.35% of the computational cost compared with the Monte–Carlo method.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Uncertainty Quantification by the Nonintrusive Polynomial Chaos Expansion with an Adjustment Strategy


    Contributors:

    Published in:

    AIAA Journal ; 54 , 10 ; 3107-3116


    Publication date :

    2016-06-13


    Size :

    10 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English






    Aircraft Robust Trajectory Optimization Using Nonintrusive Polynomial Chaos

    Li, Xiang / Nair, Prasanth B. / Zhang, ZhiGang et al. | AIAA | 2014


    Uncertainty Quantification for Ignition Delay Times Using Polynomial Chaos Expansion

    Clark, Ryan J. / Hageman, Mitchell D. / Knadler, Michael S. et al. | TIBKAT | 2023


    Uncertainty Quantification for Ignition Delay Times using Polynomial Chaos Expansion

    Clark, Ryan J. / Hageman, Mitchell D. / Knadler, Michael S. et al. | AIAA | 2023