This data set contains supplementary data for Klahn, Fuhrman & Zhai (2024).File PFL.zip contains a Matlab structural array (PFL) with the simulated surface elevations (five realizations) from the fully nonlinear Pseudospectral-Fourier-Legendre (PFL) model (Klahn et al. 2021) at time t = 50Tp, where Tp is the peak wave period.Once unzipped, data can be loaded into Matlab and viewed using e.g.:>> load PFL.mat; [X,Y] = meshgrid(PFL.x,PFL.y); pcolor(X,Y,PFL.eta{1}); shading interp; colormap jet; colorbarFor further details, please see the README file.FundingThis 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. ReferencesFuhrman, 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.2023.669Klahn, 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.4956Klahn, 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