Uncertainty Quantification of k-ω Turbulence Model for Hypersonic Flow

Yatian Zhao; Hongkang Liu; Chao Yan

doi:10.1109/ICMAE.2018.8467619

Uncertainty Quantification of k-ω Turbulence Model for Hypersonic Flow

Yatian Zhao
, Hongkang Liu
, Chao Yan

School of Aeronautic Science and Engineering

Beihang University

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

2 Scopus citations

Abstract

The formulation of turbulence models contains a considerable source of uncertainty. The goal of this work is to investigate the uncertainty and sensitivity of k-ω model due to uncertainty in the values of closure coefficients. Specifically, uncertainty analysis is performed for hypersonic flow over an all-body aircraft. In the current study, firstly a stochastic expansion based on point collocation Non-Intrusive Polynomial Chaos (NIPC) expansion is utilized to identify the uncertainties. Then Sobol indices are used to rank the relative contribution of each closure coefficient. The sensitivity analysis showed that σ contributes most in hypersonic flow both in heat flux and pressure in most areas, while near the expansion shock β∗ becomes the top contributor for uncertainty of pressure.

Original language	English
Title of host publication	Proceedings of 2018 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	526-530
Number of pages	5
ISBN (Electronic)	9781538672297
DOIs	https://doi.org/10.1109/ICMAE.2018.8467619
State	Published - 18 Sep 2018
Event	9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018 - Budapest, Hungary Duration: 10 Jul 2018 → 13 Jul 2018

Publication series

Name	Proceedings of 2018 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018

Conference

Conference	9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018
Country/Territory	Hungary
City	Budapest
Period	10/07/18 → 13/07/18

Keywords

hypersonic flow
k-ω turbulence model
sensitivity analysis
uncertainty analysis

Access to Document

10.1109/ICMAE.2018.8467619

Cite this

Zhao, Y., Liu, H., & Yan, C. (2018). Uncertainty Quantification of k-ω Turbulence Model for Hypersonic Flow. In Proceedings of 2018 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018 (pp. 526-530). Article 8467619 (Proceedings of 2018 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICMAE.2018.8467619

Zhao, Yatian ; Liu, Hongkang ; Yan, Chao. / Uncertainty Quantification of k-ω Turbulence Model for Hypersonic Flow. Proceedings of 2018 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 526-530 (Proceedings of 2018 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018).

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title = "Uncertainty Quantification of k-ω Turbulence Model for Hypersonic Flow",

abstract = "The formulation of turbulence models contains a considerable source of uncertainty. The goal of this work is to investigate the uncertainty and sensitivity of k-ω model due to uncertainty in the values of closure coefficients. Specifically, uncertainty analysis is performed for hypersonic flow over an all-body aircraft. In the current study, firstly a stochastic expansion based on point collocation Non-Intrusive Polynomial Chaos (NIPC) expansion is utilized to identify the uncertainties. Then Sobol indices are used to rank the relative contribution of each closure coefficient. The sensitivity analysis showed that σ contributes most in hypersonic flow both in heat flux and pressure in most areas, while near the expansion shock β∗ becomes the top contributor for uncertainty of pressure.",

keywords = "hypersonic flow, k-ω turbulence model, sensitivity analysis, uncertainty analysis",

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Zhao, Y, Liu, H & Yan, C 2018, Uncertainty Quantification of k-ω Turbulence Model for Hypersonic Flow. in Proceedings of 2018 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018., 8467619, Proceedings of 2018 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018, Institute of Electrical and Electronics Engineers Inc., pp. 526-530, 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018, Budapest, Hungary, 10/07/18. https://doi.org/10.1109/ICMAE.2018.8467619

Uncertainty Quantification of k-ω Turbulence Model for Hypersonic Flow. / Zhao, Yatian; Liu, Hongkang; Yan, Chao.
Proceedings of 2018 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 526-530 8467619 (Proceedings of 2018 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018).

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

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N2 - The formulation of turbulence models contains a considerable source of uncertainty. The goal of this work is to investigate the uncertainty and sensitivity of k-ω model due to uncertainty in the values of closure coefficients. Specifically, uncertainty analysis is performed for hypersonic flow over an all-body aircraft. In the current study, firstly a stochastic expansion based on point collocation Non-Intrusive Polynomial Chaos (NIPC) expansion is utilized to identify the uncertainties. Then Sobol indices are used to rank the relative contribution of each closure coefficient. The sensitivity analysis showed that σ contributes most in hypersonic flow both in heat flux and pressure in most areas, while near the expansion shock β∗ becomes the top contributor for uncertainty of pressure.

AB - The formulation of turbulence models contains a considerable source of uncertainty. The goal of this work is to investigate the uncertainty and sensitivity of k-ω model due to uncertainty in the values of closure coefficients. Specifically, uncertainty analysis is performed for hypersonic flow over an all-body aircraft. In the current study, firstly a stochastic expansion based on point collocation Non-Intrusive Polynomial Chaos (NIPC) expansion is utilized to identify the uncertainties. Then Sobol indices are used to rank the relative contribution of each closure coefficient. The sensitivity analysis showed that σ contributes most in hypersonic flow both in heat flux and pressure in most areas, while near the expansion shock β∗ becomes the top contributor for uncertainty of pressure.

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KW - k-ω turbulence model

KW - sensitivity analysis

KW - uncertainty analysis

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Zhao Y, Liu H, Yan C. Uncertainty Quantification of k-ω Turbulence Model for Hypersonic Flow. In Proceedings of 2018 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 526-530. 8467619. (Proceedings of 2018 9th International Conference on Mechanical and Aerospace Engineering, ICMAE 2018). doi: 10.1109/ICMAE.2018.8467619

Uncertainty Quantification of k-ω Turbulence Model for Hypersonic Flow

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