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Fitting the Uniform Shear Model to real data

version 1.3 (256 KB) by E. Cheynet
The parameters of the Uniform Shear Model are estimated in the least-square sense

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Updated 28 Apr 2020

GitHub view license on GitHub

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] and simultaneously fit the three parameters of the uniform shear model.

The submission contains:
- the function fitMann.m
- An interactive example file Example.mlx
- a data file greatbeltData that contains digitalized spectral estimate from the Great belt experiment
- The function mannTurb.m introduced in [5]

This is the first version of the submission. Several changes may occur soon. 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

Cite As

E. Cheynet (2020). Fitting the Uniform Shear Model to real data (https://www.github.com/ECheynet/fitMann1994), GitHub. Retrieved .

E. Cheynet. ECheynet/fitMann1994 1.3. Zenodo, 2020, doi:10.5281/ZENODO.3774088.

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Updates

1.3

See release notes for this release on GitHub: https://github.com/ECheynet/fitMann1994/releases/tag/1.3

1.2

Added Github repository

1.1

The results of the hypergeom function are now more accurately calculated.

1.0.3

Correction of typographical mistakes

1.0.2

Example file updated

1.0.1

Image changed

MATLAB Release Compatibility
Created with R2019b
Compatible with R2018b to any release
Platform Compatibility
Windows macOS Linux
Categories
Acknowledgements

Inspired by: Uniform shear model (Mann, 1994)