Skip to main content

Improving Correlation Function Method to Generate Three-Dimensional Atmospheric Turbulence

  • Conference paper
  • First Online:
Advances in Intelligent Information Hiding and Multimedia Signal Processing

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 157))

  • 593 Accesses

Abstract

Atmospheric turbulence is a common form of wind field that causes turbulence for aircraft. A high-intensity turbulence field may negatively affect flight safety. With the development of simulation modeling and software engineering, the influence of the atmospheric turbulence on an aircraft has been widely studied using simulation experiments. Because the method for generating one-dimensional atmospheric turbulence is now mature, researchers have been confronted with a growing need to generate the three-dimensional atmospheric turbulence field that is required in the new simulation experiments. In the current study, we generate a three-dimensional atmospheric turbulence field based on an improved correlation function method. The main innovation is that we use the double random switching algorithm to adapt the Gaussian white noise sequence that is closer to the ideal condition when creating the one-dimensional atmospheric turbulence field. The two-dimensional and the final three-dimensional atmospheric turbulence field can be generated based on the one-dimensional one by iteration. There are experimental results to confirm that the three-dimensional atmospheric turbulence generated by this method provides improved transverse and longitudinal correlations as well as reduced error when compared with the theoretical values.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Real, T.R.: Digital simulation of atmospheric turbulence for Dryden and von Karman models. J. Guid. Control Dyn. 16(1), 132–138 (1993)

    Article  Google Scholar 

  2. Reeves, P.M.: A non-Gaussian turbulence simulation. Air Force Flight Dynamics Lab Technical Report AFFDL-TR-69-67, Wright-Patterson Air Force Base, OH, Nov 1969

    Google Scholar 

  3. Fichtl, G.H., Perlmutter, M.: Nonstationary atmospheric boundary-layer turbulence simulation. J. Aircr. 1(12), 639–647 (1975)

    Article  Google Scholar 

  4. Zhao, Z.Y., et al.: Dryden digital simulation on atmospheric turbulence. Acta Aeronaut. Astronaut. Sin. 10, 7(5), 433–443

    Google Scholar 

  5. Ma, D.L., et al.: An improved method for digital simulation of atmospheric turbulence. J. Beijing Univ. Aeronaut. Astronaut. 3, 57–63 (1990)

    Google Scholar 

  6. Djurovic, Z., Miskovic, L., Kovacevic, B.: Simulation of air turbulence signal and its application. In: The 10th Mediterranean Electrotechnical Conference, vol. 1(2), pp. 847–850 (2000)

    Google Scholar 

  7. Zhang, F., et al.: Simulation of three-dimensional atmospheric turbulence based on Von Karman model. Comput. Stimul. 24(1), 35–38 (2007)

    Google Scholar 

  8. Xiao, Y.L.: Digital generation method for two-dimensional turbulent flow field in flight simulation. Acta Aeronaut. Astronaut. Sin. 11(4), B124–B130 (1990)

    Google Scholar 

  9. Lu, Y.P., et al.: Digital generation of two-dimensional field of turbulence based on spatial correlation function. J. Nanjing Univ. Aeronaut. Astronaut. 31(2), 139–145 (1999)

    Google Scholar 

  10. Hong, G.X., et al.: Monte Carlo stimulation for 3D-field of atmospheric turbulence. Acta Aeronaut. Astronaut. Sin. 22(6), 542–545 (2001)

    Google Scholar 

  11. Gao, J., et al.: Theory and method of numerical simulation for 3D atmospheric turbulence field based on Von Karman model. J. Beijing Univ. Aeronaut. Astronaut. 38(6), 736–740 (2012)

    Google Scholar 

  12. Gao, Z.X., et al.: Generation and extension methods of 3D atmospheric turbulence field. J. Traffic Transp. Eng. 8(4), 25–29 (2008)

    Google Scholar 

  13. Wu, Y., Jiang, S., Lin, L., Wang, C.: Simulation method for three-dimensional atmospheric turbulence in virtual test. J. Comput. Inf. Syst. 7(4), 1021–1028 (2011). Proctor, F.H., Bowles, R.L.: Three-dimensional simulation of the Denver 11 July 1988 Microburst-producing storm. Meteorol. Atmos. Phys. 49, 108–127 (1992)

    Google Scholar 

  14. Hunter, I.W., Kearney, R.E.: Generation of random sequences with jointly specified probability density and autocorrelation functions. Biol. Cybern. 47, 141–146 (1983)

    Article  MATH  Google Scholar 

  15. Cai, K.B., et al.: A novel method for generating Gaussian stochastic sequences. J. Shanghai Jiaotong Univ. 38(12), 2052–2055 (2004)

    Google Scholar 

Download references

Acknowledgements

This work is supported by the National Science Foundation of China under Grant No. 61201305.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lianlei Lin .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Lin, L., Yan, K., Li, J. (2020). Improving Correlation Function Method to Generate Three-Dimensional Atmospheric Turbulence. In: Pan, JS., Li, J., Tsai, PW., Jain, L. (eds) Advances in Intelligent Information Hiding and Multimedia Signal Processing. Smart Innovation, Systems and Technologies, vol 157. Springer, Singapore. https://doi.org/10.1007/978-981-13-9710-3_13

Download citation

Publish with us

Policies and ethics