Supplementary codes for: Klahn, M., Zhai, Y. & Fuhrman (2024) Heavy tails and probability density functions to any nonlinear order for the surface elevation in irregular seas. J. Fluid Mech. 985, A35.

Version 2 2024-10-07, 09:15

Version 1 2024-05-01, 12:45

software

posted on 2024-10-07, 09:15 authored by Mathias Klahn, Yanyan ZhaiYanyan Zhai, David R. FuhrmanDavid R. Fuhrman

This data set contains supplementary codes for Klahn, Fuhrman & Zhai (2024).

The data set includes two files:

File pdf15_Matlab.zip contains Matlab implementations for computing the probability density function for the surface elevation in an irregular sea, for nonlinear order 1 through 5. Order 1 is linear theory (Gaussian distribution), order 2 is the FKZ (Fuhrman, Klahn & Zhai 2023) distribution, whereas order 3-5 are computed numerically as described in the main paper.

File pdf15_Python.zip contains similar Python implementations.

For further details, please see the additional README files within the zipped folders.

This research has been financially supported by the Independent Research Fund Denmark project STORM: STatistics and fOrces on stRuctures from extreMe water waves in finite depth (grant ID: 10.46540/2035-00064B). This support is greatly appreciated.

References

Fuhrman, D.R., Klahn, M. & Zhai, Y. (2023) A new probability density function for the surface elevation in irregular seas. J. Fluid Mech. 970, A38. DOI: https://doi.org/10.1017/jfm.2023.669

Klahn, M., Madsen, P.A. & Fuhrman, D.R. (2021) Simulation of three-dimensional nonlinear water waves using a pseudospectral volumetric method with an artificial boundary condition. Int. J. Numer. Meth. Fluids 93, 1843-1870. DOI: https://doi.org/10.1002/fld.4956

Klahn, M., Zhai, Y. & Fuhrman, D.R. (2024) Heavy tails and probability density functions to any nonlinear order for the surface elevation in irregular seas. J. Fluid Mech. 985, A35. https://doi:10.1017/jfm.2024.304