Surrogate-based robust design optimization of airfoil using inexpensive Monte Carlo method

Muhammad Shahbaz; Zhong Hua Han; W. P. Song; M. Nadeem Aizud

doi:10.1109/IBCAST.2016.7429924

Surrogate-based robust design optimization of airfoil using inexpensive Monte Carlo method

Muhammad Shahbaz, Zhong Hua Han, W. P. Song, M. Nadeem Aizud

School of Aeronautics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

8 Scopus citations

Abstract

This paper presents an efficient robust design optimization under the uncertainty quantification (UQ) of aleatory flight conditions using inexpensive Monte Carlo (IMC) method. Robust design optimization (RDO) technique is used to reduce the statistical moments of drag coefficient of an airfoil subject to some aerodynamic and geometric constraints. IMC approach with kriging surrogate model has been utilized to evaluate the robustness of a candidate design for prediction of statistical parameters and probability density functions of output response quantities. CFD calculations of RAE2822 airfoil have been evaluated using in-house code, PMNS2D. Combination of CFD input flight parameters such as free stream Mach number and angle of attack are varied and the propagation of their corresponding aleatory uncertainties on output properties of interest is studied. The reduction in objective function (C_d) is about 37.48% and 39.19% for combination of Mach and alpha uncertainties under Gaussian and LHS distributions respectively. Probability density function (PDF) of an output uncertainty is also compared with real PDF and found in good agreement with each other.

Original language	English
Title of host publication	Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016
Editors	Muhammad Zafar-uz-Zaman
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	497-504
Number of pages	8
ISBN (Electronic)	9781467391276
DOIs	https://doi.org/10.1109/IBCAST.2016.7429924
State	Published - 9 Mar 2016
Event	13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016 - Islamabad, Pakistan Duration: 12 Jan 2016 → 16 Jan 2016

Publication series

Name	Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016

Conference

Conference	13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016
Country/Territory	Pakistan
City	Islamabad
Period	12/01/16 → 16/01/16

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10.1109/IBCAST.2016.7429924

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Shahbaz, M., Han, Z. H., Song, W. P., & Aizud, M. N. (2016). Surrogate-based robust design optimization of airfoil using inexpensive Monte Carlo method. In M. Zafar-uz-Zaman (Ed.), Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016 (pp. 497-504). Article 7429924 (Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IBCAST.2016.7429924

Shahbaz, Muhammad ; Han, Zhong Hua ; Song, W. P. et al. / Surrogate-based robust design optimization of airfoil using inexpensive Monte Carlo method. Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016. editor / Muhammad Zafar-uz-Zaman. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 497-504 (Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016).

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title = "Surrogate-based robust design optimization of airfoil using inexpensive Monte Carlo method",

abstract = "This paper presents an efficient robust design optimization under the uncertainty quantification (UQ) of aleatory flight conditions using inexpensive Monte Carlo (IMC) method. Robust design optimization (RDO) technique is used to reduce the statistical moments of drag coefficient of an airfoil subject to some aerodynamic and geometric constraints. IMC approach with kriging surrogate model has been utilized to evaluate the robustness of a candidate design for prediction of statistical parameters and probability density functions of output response quantities. CFD calculations of RAE2822 airfoil have been evaluated using in-house code, PMNS2D. Combination of CFD input flight parameters such as free stream Mach number and angle of attack are varied and the propagation of their corresponding aleatory uncertainties on output properties of interest is studied. The reduction in objective function (Cd) is about 37.48% and 39.19% for combination of Mach and alpha uncertainties under Gaussian and LHS distributions respectively. Probability density function (PDF) of an output uncertainty is also compared with real PDF and found in good agreement with each other.",

author = "Muhammad Shahbaz and Han, {Zhong Hua} and Song, {W. P.} and Aizud, {M. Nadeem}",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016 ; Conference date: 12-01-2016 Through 16-01-2016",

year = "2016",

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doi = "10.1109/IBCAST.2016.7429924",

language = "英语",

series = "Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016",

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Shahbaz, M, Han, ZH , Song, WP & Aizud, MN 2016, Surrogate-based robust design optimization of airfoil using inexpensive Monte Carlo method. in M Zafar-uz-Zaman (ed.), Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016., 7429924, Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016, Institute of Electrical and Electronics Engineers Inc., pp. 497-504, 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016, Islamabad, Pakistan, 12/01/16. https://doi.org/10.1109/IBCAST.2016.7429924

Surrogate-based robust design optimization of airfoil using inexpensive Monte Carlo method. / Shahbaz, Muhammad; Han, Zhong Hua ; Song, W. P. et al.
Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016. ed. / Muhammad Zafar-uz-Zaman. Institute of Electrical and Electronics Engineers Inc., 2016. p. 497-504 7429924 (Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - This paper presents an efficient robust design optimization under the uncertainty quantification (UQ) of aleatory flight conditions using inexpensive Monte Carlo (IMC) method. Robust design optimization (RDO) technique is used to reduce the statistical moments of drag coefficient of an airfoil subject to some aerodynamic and geometric constraints. IMC approach with kriging surrogate model has been utilized to evaluate the robustness of a candidate design for prediction of statistical parameters and probability density functions of output response quantities. CFD calculations of RAE2822 airfoil have been evaluated using in-house code, PMNS2D. Combination of CFD input flight parameters such as free stream Mach number and angle of attack are varied and the propagation of their corresponding aleatory uncertainties on output properties of interest is studied. The reduction in objective function (Cd) is about 37.48% and 39.19% for combination of Mach and alpha uncertainties under Gaussian and LHS distributions respectively. Probability density function (PDF) of an output uncertainty is also compared with real PDF and found in good agreement with each other.

AB - This paper presents an efficient robust design optimization under the uncertainty quantification (UQ) of aleatory flight conditions using inexpensive Monte Carlo (IMC) method. Robust design optimization (RDO) technique is used to reduce the statistical moments of drag coefficient of an airfoil subject to some aerodynamic and geometric constraints. IMC approach with kriging surrogate model has been utilized to evaluate the robustness of a candidate design for prediction of statistical parameters and probability density functions of output response quantities. CFD calculations of RAE2822 airfoil have been evaluated using in-house code, PMNS2D. Combination of CFD input flight parameters such as free stream Mach number and angle of attack are varied and the propagation of their corresponding aleatory uncertainties on output properties of interest is studied. The reduction in objective function (Cd) is about 37.48% and 39.19% for combination of Mach and alpha uncertainties under Gaussian and LHS distributions respectively. Probability density function (PDF) of an output uncertainty is also compared with real PDF and found in good agreement with each other.

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Shahbaz M, Han ZH , Song WP, Aizud MN. Surrogate-based robust design optimization of airfoil using inexpensive Monte Carlo method. In Zafar-uz-Zaman M, editor, Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 497-504. 7429924. (Proceedings of 2016 13th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2016). doi: 10.1109/IBCAST.2016.7429924

Surrogate-based robust design optimization of airfoil using inexpensive Monte Carlo method

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