Technical Papers
Jan 14, 2023

Modeling Multidimensional Multivariate Turbulent Wind Fields Using a Correlated Turbulence Wave Number–Frequency Spectral Representation Method

Publication: Journal of Engineering Mechanics
Volume 149, Issue 4

Abstract

Accurate and efficient simulation of turbulent stochastic fields lays a solid foundation for dynamic response analysis and reliability evaluation of wind-sensitive structures. In this paper, a correlated-turbulence wave number–frequency spectral representation method (CT-WSRM) is proposed for simulating turbulent wind fields. Turbulent spectra that consider the correlation of turbulence are established using wind data measured during Typhoon Yanhua at the Ma’anshan Yangtze River (MYR) Bridge site in China. Using the established spectra, a customized turbulence wave number–frequency spectra density (WSD) matrix is defined and adopted in the proposed CT-WSRM. The proposed method can be utilized to simulate multidimensional multivariate two dimensional-three variate (2D-3V) spatial-temporal turbulent wind fields. In addition, a dimension-reduction model is introduced to describe turbulent wind fields in the probability density level within three random variables. The fast Fourier transform (FFT) algorithm is also embedded in the CT-WSRM to alleviate the computational burden. The stochastic turbulent wind fields for the MYR Bridge were simulated. Results demonstrated the effectiveness of the proposed method against the measured turbulent spectra. This method can be further utilized in the dynamic reliability analysis, providing structural reliability evaluation from the probabilistic view.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

All data and models generated or used during the study appear in the published article.

Acknowledgments

The authors would like to gratefully acknowledge the support from the National Natural Science Foundation of China (Grant Nos. 51978155, 52108274, and 52208481).

References

Bendat, J. S., and A. G. Piersol. 2010. Random data: Analysis and measurement procedures. 4th ed. Hoboken, NJ: Wiley.
Benowitz, B. A., and G. Deodatis. 2015. “Simulation of wind speeds on long span structures: A novel stochastic wave based model.” J. Wind Eng. Ind. Aerodyn. 147 (Dec): 154–163. https://doi.org/10.1016/j.jweia.2015.10.004.
Chen, J. B., Y. W. Chen, Y. B. Peng, S. Y. Zhu, M. Beer, and L. Comerford. 2019. “Stochastic harmonic function based wind field simulation and wind-induced reliability of super high-rise buildings.” Mech. Syst. Sig. Process. 133 (Nov): 106264. https://doi.org/10.1016/j.ymssp.2019.106264.
Davenport, A. G. 1961. “The spectrum of horizontal gustiness near the ground in high winds.” Q. J. R. Meteorol. Soc. 87 (372): 194–211. https://doi.org/10.1002/qj.49708737208.
Deodatis, G. 1996a. “Non-stationary stochastic vector processes: Seismic ground motion applications.” Probab. Eng. Mech. 11 (3): 149–167. https://doi.org/10.1016/0266-8920(96)00007-0.
Deodatis, G. 1996b. “Simulation of ergodic multivariate stochastic processes.” J. Eng. Mech. 122 (8): 778–787. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:8(778).
Deodatis, G., and M. Shinozuka. 1989. “Simulation of seismic ground motion using stochastic waves.” J. Eng. Mech. 115 (12): 2723–2737. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:12(2723).
Di Paola, M. 1998. “Digital simulation of wind field speed.” J. Wind Eng. Ind. Aerodyn. 74–76 (Apr): 91–109. https://doi.org/10.1016/S0167-6105(98)00008-7.
Fenerci, A., and O. Oiseth. 2018. “Site-specific data-driven probabilistic wind field modeling for the wind-induced response prediction of cable-supported bridges.” J. Wind Eng. Ind. Aerodyn. 181 (Oct): 161–179. https://doi.org/10.1016/j.jweia.2018.09.002.
Hong, H. P., X. Z. Cui, and W. X. Zhou. 2021. “A model to simulate multidimensional nonstationary and non-Gaussian fields based on S-transform.” Mech. Syst. Sig. Process. 159 (Oct): 107789. https://doi.org/10.1016/j.ymssp.2021.107789.
Huang, G. Q. 2015. “Application of proper orthogonal decomposition in fast fourier transform-assisted multivariate nonstationary process simulation.” J. Eng. Mech. 141 (7): 04015015. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000923.
Huang, Z. F., Y. L. Xu, T. Y. Tao, and S. Zhan. 2020. “Time-varying power spectra and coherences of non-stationary typhoon winds.” J. Wind Eng. Ind. Aerodyn. 198 (Mar): 104115. https://doi.org/10.1016/j.jweia.2020.104115.
Kaimal, J. C., J. C. Wyngaard, Y. Izumi, and O. R. Cote. 1972. “Spectral characteristics of surface-layer turbulence.” Q. J. R. Meteorol. Soc. 98 (417): 563–589. https://doi.org/10.1002/qj.49709841707.
Kareem, A. 1985. “Wind-induced response analysis of tension leg platforms.” J. Struct. Eng. 111 (1): 37–55. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:1(37).
Kavrakov, I., A. Kareem, and G. Morgenthal. 2021. “Comparison metrics for time-histories: Application to bridge aerodynamics.” J. Eng. Mech. 146 (9): 04020093. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001811.
Li, Q. S., J. Y. Fu, Y. Q. Xiao, Z. N. Li, Z. H. Ni, Z. N. Xie, and M. Gu. 2006. “Wind tunnel and full-scale study of wind effects on China’s tallest building.” Eng. Struct. 28 (12): 1745–1758. https://doi.org/10.1016/j.engstruct.2006.02.017.
Li, Y. L., K. Togbenou, H. Y. Xiang, and N. Chen. 2017. “Simulation of non-stationary wind speed field on bridges based on Taylor series.” J. Wind Eng. Ind. Aerodyn. 169 (Oct): 117–127. https://doi.org/10.1016/j.jweia.2017.07.005.
Liu, Z. H., C. G. He, Z. J. Liu, and H. L. Lu. 2020. “Dimension reduction model for two-spatial dimensional stochastic wind field: Hybrid approach of spectral decomposition and wavenumber spectral representation.” Probab. Eng. Mech. 60 (Apr): 103052. https://doi.org/10.1016/j.probengmech.2020.103052.
Liu, Z. H., Z. J. Liu, C. G. He, and H. L. Lu. 2019. “Dimension-reduced probabilistic approach of 3-D wind field for wind-induced response analysis of transmission tower.” J. Wind Eng. Ind. Aerodyn. 190 (Jul): 309–321. https://doi.org/10.1016/j.jweia.2019.05.013.
Naito, G. 1978. “Direct measurements of momentum and sensible heat fluxes at the tower in the open sea.” J. Meteorol. Soc. Jpn. 56 (1): 25–34. https://doi.org/10.2151/jmsj1965.56.1_25.
Olesen, H. R., S. E. Larsen, and J. Hojstrup. 1984. “Modeling speed spectra in the lower part of the planetary boundary-layer.” J. Wind Eng. Ind. Aerodyn. 29 (3): 285–312. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:6(912).
Panofsky, H. A., and E. Mares. 1968. “Recent measurements of co-spectra for heat-flux and stress.” Q. J. R. Meteorol. Soc. 94 (402): 581–585. https://doi.org/10.1002/qj.49709440213.
Peng, L. L., G. Q. Huang, X. Z. Chen, and A. Kareem. 2017. “Simulation of multivariate nonstationary random processes: Hybrid stochastic wave and proper orthogonal decomposition approach.” J. Eng. Mech. 143 (9): 04017064. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001273.
Peng, L. L., G. Q. Huang, X. Z. Chen, and Q. S. Yang. 2018. “Evolutionary spectra-based time-varying coherence function and application in structural response analysis to downburst winds.” J. Struct. Eng. 144 (7): 04018078. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002066.
Simiu, E. 1974. “Wind spectra and dynamic alongwind response.” J. Struct. Div. 100 (9): 1897–1910. https://doi.org/10.1061/JSDEAG.0003880.
Solari, G., and G. Poccardo. 2001. “Probabilistic 3-D turbulence modeling for gust buffeting of structures.” Probab. Eng. Mech. 16 (1): 73–86. https://doi.org/10.1016/S0266-8920(00)00010-2.
Song, Y. P., J. B. Chen, Y. B. Peng, P. D. Spanos, and J. Li. 2018. “Simulation of nonhomogeneous fluctuating wind speed field in two-spatial dimensions via an evolutionary wavenumber-frequency joint power spectrum.” J. Wind Eng. Ind. Aerodyn. 179 (Aug): 205–259. https://doi.org/10.1016/j.jweia.2018.06.005.
Tao, T. Y., P. Shi, and H. Wang. 2020a. “Spectral modelling of typhoon winds considering nexus between longitudinal and lateral components.” Renewable Energy 162 (Dec): 2019–2030. https://doi.org/10.1016/j.renene.2020.09.130.
Tao, T. Y., H. Wang, and T. Wu. 2017. “Comparative study of the wind characteristics of a strong wind event based on stationary and nonstationary models.” J. Struct. Eng. 143 (5): 04016230. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001725.
Tao, T. Y., H. Wang, and K. Y. Zhao. 2021. “Efficient simulation of fully non-stationary random wind field based on reduced 2D hermite interpolation.” Mech. Syst. Sig. Process. 150 (Mar): 107265. https://doi.org/10.1016/j.ymssp.2020.107265.
Tao, T. Y., Y. L. Xu, Z. F. Huang, and H. Wang. 2020b. “Buffeting analysis of long-span bridges under typhoon winds with time-varying spectra and coherences.” J. Struct. Eng. 146 (12): 04020255. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002835.
Tubino, F., and G. Solari. 2002. “Double proper orthogonal decomposition for representing and simulating turbulence fields.” J. Eng. Mech. 131 (12): 1302–1312. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:12(1302).
Von Karman, T. 1978. “Progress in the statistical theory of turbulence.” PNAS 34 (11): 530. https://doi.org/10.1073/pnas.34.11.530.
Wang, H., Y. M. Zhang, and J. X. Mao. 2022. “Sparse Gaussian process regression for multi-step ahead forecasting of wind gusts combining numerical weather predictions and on-site measurements.” J. Wind Eng. Ind. Aerodyn. 220 (Jan): 104873. https://doi.org/10.1016/j.jweia.2021.104873.
Yang, J. N. 1972. “Simulation of random envelope processes.” J. Sound Vib. 21 (1): 73–85. https://doi.org/10.1016/0022-460X(72)90207-6.
Zhao, Z., Z. H. Lu, and Y. G. Zhao. 2022. “Simulating multivariate stationary non-Gaussian process based on wavenumber-frequency spectrum and unified Hermite polynomial model.” Probab. Eng. Mech. 69 (Jul): 103272. https://doi.org/10.1016/j.probengmech.2022.103272.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 149Issue 4April 2023

History

Received: Jul 8, 2022
Accepted: Nov 5, 2022
Published online: Jan 14, 2023
Published in print: Apr 1, 2023
Discussion open until: Jun 14, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Yun Liu
Ph.D. Candidate, Key Laboratory of Concrete & Prestressed Concrete Structures of Ministry of Education, Southeast Univ., Nanjing 211189, China.
Professor, Key Laboratory of Concrete & Prestressed Concrete Structures of Ministry of Education, Southeast Univ., Nanjing 211189, China (corresponding author). ORCID: https://orcid.org/0000-0002-1187-0824. Email: [email protected]
Zidong Xu
Postdoctoral, Key Laboratory of Concrete & Prestressed Concrete Structures of Ministry of Education, Southeast Univ., Nanjing 211189, China.
Francis M. Thomas Chair’s Council Associate Professor, Dept. of Civil, Environmental, and Architectural Engineering, Univ. of Kansas, Lawrence, KS 66045. ORCID: https://orcid.org/0000-0003-3439-7539
Tong Wu
Postgraduate, Key Laboratory of Concrete & Prestressed Concrete Structures of Ministry of Education, Southeast Univ., Nanjing 211189, China.
Jianxiao Mao
Associate Professor, Key Laboratory of Concrete & Prestressed Concrete Structures of Ministry of Education, Southeast Univ., Nanjing 211189, China.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share