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The parameters of the Uniform Shear Model are estimated in the least-square sense

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Fitting the Uniform Shear Model to real data

The parameters of the Uniform Shear Model [1] are estimated in the least-square sense

View Fitting the Uniform Shear Model to real data on File Exchange DOI Donation

Summary

The function "fitMann" is used to estimate the parameters of the uniform shear model [1] in the least-square sense. As an example, the fitting algorithm is applied to the Great Belt dataset used by Mann [1] and the Kaimal spectral model [2,3]. The present Matlab implementation was applied for offshore wind data [4].

Content

The submission contains:

  • the function fitMann.m
  • An interactive example file Example.mlx
  • An example where fitMann is applied on incomplete data.
  • a data file greatbeltData that contains digitalized spectral estimate from the Great belt experiment
  • The function mannTurb.m introduced in [5]

Any comment, suggestion or question is welcomed.

References

[1] Mann, J. (1994). The spatial structure of neutral atmospheric surface-layer turbulence. Journal of fluid mechanics, 273, 141-168.

[2] Kaimal, J. C., Wyngaard, J. C. J., Izumi, Y., & Coté, O. R. (1972). Spectral characteristics of surface‐layer turbulence. Quarterly Journal of the Royal Meteorological Society, 98(417), 563-589.

[3] Mann, J. (1998). Wind field simulation. Probabilistic engineering mechanics, 13(4), 269-282.

[4] Cheynet, E. (2019). Influence of the Measurement Height on the Vertical Coherence of Natural Wind. In Conference of the Italian Association for Wind Engineering (pp. 207-221). Springer, Cham.

[5] https://se.mathworks.com/matlabcentral/fileexchange/67055-uniform-shear-model-mann-1994