Map-based stochastic simulation data of a transient Ekman boundary layer

Overview

A journal paper in Advances in Science and Research [1] details the numerical modeling approach used to create the data. Here, the model input files, the raw data, processed data, and plot scripts are provided that support the research.

The code used here [2,3] is an extended version of the one-dimensional turbulence (ODT) model [4,5]. The current model implementation utilizes an adaptive grid that further increases numerical efficiency [6.7]. A truncated version of the adaptive ODT code of this work is described in [8] and publicly available free of charge in [9].

The theoretical foundation and numerical as well as experimental evidence for this work is given in [10,11,12,13], and the main motivation in [14].

The bash script makePlot.sh is the top-level driver and contains all additional information about the cases. Some other Details are provided by low-level README files. Python-3.8 is required to run the scripts.

References

[1]  M. Klein, and H. Schmidt. Capturing features of turbulent Ekman–Stokes boundary layers
with a stochastic modeling approach. Adv. Sci. Res, 20, 55–64, https://doi.org/10.5194/asr-20-55-2023, 2023.

[2] M. Klein, and H. Schmidt. Exploring stratification effects in stable Ekman boundary layers using a stochastic one-dimensional turbulence model, Adv. Sci. Res., 19, 117–136, https://doi.org/10.5194/asr-19-117-2022, 2022.

[3] M. Klein, and H. Schmidt. A stochastic modeling strategy for intermittently unstable Ekman—Stokes boundary layers, Proc. Appl. Math. Mech., 20, e202000127, https://doi.org/10.1002/pamm.202000127, 2020.

[4] A. R. Kerstein. One-dimensional turbulence: Model formulation and application to homogeneous turbulence, shear flows, and buoyant stratified flows, J. Fluid Mech., 392, 277–334, https://doi.org/10.1017/S0022112099005376, 1999.

[5] A. R. Kerstein, and S. Wunsch. _Simulation of a stably stratified atmospheric boundary layer using one-dimensional turbulence, Boundary-Layer Meteorol., 118, 325–356, https://doi.org/10.1007/s10546-005-9004-x, 2006.

[6] D. O. Lignell, A. R. Kerstein, G. Sun, and E. T. Monson. Mesh adaption for efficient multiscale implementation of one-dimensional turbulence, Theor. Comput. Fluid Dyn., 27, 273–295, https://doi.org/10.1007/s00162-012-0267-9, 2013.

[7] D. O. Lignell V. B. Lansinger, J. Medina, M. Klein A. R. Kerstein, H. Schmmidt, M. Fistler, and M. Oevermann. One-dimensional turbulence modeling for cylindrical and spherical flows: model formulation and application, Theor. Comput. Fluid Dyn., 32, 495–520, https://doi.org/10.1007/s00162-018-0465-1, 2018.

[8] V. B. Stephens, and  D. O. Lignell. One-dimensional turbulence (ODT): Computationally efficient modeling and simulation of turbulent flows, Software X, 13, 100641, https://doi.org/10.1016/j.softx.2020.100641, 2021.

[9] BYU Ignite. Adaptive ODT source code, https://github.com/BYUignite/ODT.

[10] S. Salon, and V. Armenio. A numerical investigation of the turbulent Stokes–Ekman bottom boundary layer, J. Fluid Mech., 684, 316–352, https://doi.org/10.1017/jfm.2011.303, 2011.

[11] M. Klein, T. Seelig, M. V. Kurgansky, A. Ghasemi V., I. D. Borcia, A. Will, E. Schaller, C. Egbers, and U. Harlander. Inertial wave excitation and focusing in a liquid bounded by a frustum and a cylinder, J. Fluid Mech., 751, 255–297, https://doi.org/10.1017/jfm.2014.304, 2014.

[12] A. Ghasemi, M. Klein, A. Will, and U. Harlander. Mean flow generation by an intermittently unstable boundary layer over a sloping wall, J. Fluid Mech., 853, 111–149, https://doi.org/10.1017/jfm.2018.552, 2018.

[13] M. Vincze, N. Fenyvesi, M. Klein, J. Sommeria, S. Viboud, and Y. Ashkenazy. Evidence for wind-induced Ekman layer resonance based on rotating tank experiments, EPL, 125, 44001, https://doi.org/10.1209/0295-5075/125/44001, 2019.

[14] L. S. Freire. Large-eddy simulation of the atmospheric boundary layer with near-wall resolved turbulence, Boundary-Layer Meteorol., 184, 25–43, https://doi.org/https://doi.org/10.1007/s10546-022-00702-z, 2022.