Variable eddy viscosity Ekman layer in the ABL (1D)

Ekman's equations in the atmospheric boundary layer are solved for a horizontally homogeneous flow and a height-dependant eddy viscosity
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Updated 14 Apr 2023

Ekman1D

Variable eddy viscosity Ekman layer in the ABL (1D)

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Summary

Matlab implementation of the solution of the Ekman equations in the atmospheric boundary layer. The flow is assumed to be horizontal and homogeneous, but a height dependent turbulent viscosity can be modelled. The solutions are provided in one dimension.

Contents

The submission contains

  • The function EkmanAnalytic, which provides an analytical solution to Ekman's equations for a constant eddy viscosity in the atmospheric boundary layer.
  • The solveEkman function, which numerically solves Ekman's equations using an explicit finite difference scheme and allows the use of height-dependent eddy viscosity. The numerical implementation is partly inspired by [1].
  • The function solveEkman_bcp4v.m, which uses the Matlab function bcp4v to solve Ekman's equations.
  • The function scm_bcp4v.m, which is used for more advanced single column models.
  • An example file Example0.mlx which reproduces some of the figures shown in ref [2].
  • An example file documentation_part2.mlx.mlx which uses the scm_bcp4v function.

Any questions, suggestions or comments are welcome.

References:

[1] Berger, B. W., & Grisogono, B. (1998). The baroclinic, variable eddy viscosity Ekman layer. Boundary-layer meteorology, 87(3), 363-380.

[2] https://www.whoi.edu/science/PO/people/jprice/website/education_scripts.html

Cite As

E. Cheynet (2024). Variable eddy viscosity Ekman layer in the ABL (1D) (https://github.com/ECheynet/Ekman1D/releases/tag/v1.4.1), GitHub. Retrieved .

E. Cheynet. ECheynet/Ekman1D: Variable Eddy Viscosity Ekman Layer in the ABL (1D). Zenodo, 2020, doi:10.5281/ZENODO.3829394.

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MATLAB Release Compatibility
Created with R2020b
Compatible with any release
Platform Compatibility
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Version Published Release Notes
1.4.1

See release notes for this release on GitHub: https://github.com/ECheynet/Ekman1D/releases/tag/v1.4.1

1.4

See release notes for this release on GitHub: https://github.com/ECheynet/Ekman1D/releases/tag/v1.4

1.3

See release notes for this release on GitHub: https://github.com/ECheynet/Ekman1D/releases/tag/v1.3

1.2

See release notes for this release on GitHub: https://github.com/ECheynet/Ekman1D/releases/tag/v1.2

1.1

See release notes for this release on GitHub: https://github.com/ECheynet/Ekman1D/releases/tag/v1.1

1.0.2

typo

1.0.1

Typos in one figure and the illustration

1.0.0

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.