Skip to main content

The Use of Contrast Structures Theory for the Mathematical Modelling of the Wind Field in Spatially Heterogeneous Vegetation Cover

  • Conference paper
  • First Online:
Numerical Analysis and Its Applications (NAA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10187))

Included in the following conference series:

  • 1726 Accesses

Abstract

In this work a three-dimensional model of turbulent exchange between the land surface and heterogeneous vegetation cover is presented. The model is based on so-called family of \(E-\varphi \) models. For the description of the air flow interaction with vegetation elements on the land surface the theory of dissipative contrast structures is used by analogy with the active environments considered in biophysics.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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. Garrat, J.: The Atmospheric Boundary Layer. Cambridge University Press, Cambridge (1992)

    Google Scholar 

  2. Sogachev, A., Panferov, O.: Modification of two-equation models to account for plant drag. Bound.-Layer Meteorol. 121, 229–266 (2006)

    Article  Google Scholar 

  3. Sogachev, A.: A note on two-equation closure modelling of canopy flow. Bound.-Layer Meteorol. 130, 423–436 (2009)

    Article  Google Scholar 

  4. Olchev, A., Radler, K., Sogachev, A., Panferov, O., Gravenhorst, G.: Application of a three-dimensional model for assessing effects of small clear-cuttings on radiation and soil temperature. Ecol. Model. 220, 3046–3056 (2009)

    Article  Google Scholar 

  5. Vasilev, V., Romanovskii, Y., Chernavskii, D., Yakhno, V.: Autowave Processes in Kinetic Systems. Spatial and Temporal Self-Organization in Physics, Chemistry, Biology and Medicine. VEB Deutscher Verlag der Wissenschaften, Berlin (1986)

    Google Scholar 

  6. Nefedov, N., Davydova, M.: Contrast structures in singularly perturbed quasilinear reaction-diffusion-advection equations. Differ. Equ. 49(6), 715–733 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  7. Cionco, R.: A mathematical model for air flow in a vegetative canopy. J. Appl. Meteorol. 4, 517–522 (1965)

    Article  Google Scholar 

  8. Raupach, M.: Simplified expressions for vegetation roughness length and zeroplane displacement as functions of canopy height and area index. Bound.-Layer Meteorol. 71, 211–216 (1994)

    Article  Google Scholar 

  9. Raupach, M., Antonia, R., Rajagopalan, S.: Rough wall turbulent boundary layers. Appl. Mech. Rev. 44, 1–25 (1991)

    Article  Google Scholar 

  10. Kalitkin, N.N., Koryakin, P.V.: Numerical Methods in 2 Books. Book 2: Methods of Mathematical Physics. Academia Publishing Centre, Moscow (2013)

    Google Scholar 

  11. Marchuk, G.I.: Mathematical Models in Environmental Problems. Elsevier Science, Amsterdam (1986)

    MATH  Google Scholar 

Download references

Acknowledgements

The study was supported by grant of Russian Science Foundation 14-14-00956.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Natalia Levashova .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Levashova, N., Muhartova, J., Davydova, M. (2017). The Use of Contrast Structures Theory for the Mathematical Modelling of the Wind Field in Spatially Heterogeneous Vegetation Cover. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_52

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-57099-0_52

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57098-3

  • Online ISBN: 978-3-319-57099-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics