Fitting the Uniform Shear Model to real data

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

Fitting the Uniform Shear Model to real data

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

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