Lee, Anzy (2019): Matlab code to generate Artificial fractal riverbeds. Version 1. 4TU.ResearchData. dataset. https://doi.org/10.4121/uuid:6f1e985e-b445-4e1d-bbca-c00ab14a6cb6

Dataset

• Civil Engineering
• Environmental Engineering

fractal, hydraulic engineering, Riverbeds

CC0

RefWorks, BibTeX, Reference Manager, Endnote, DataCite, NLM, DC, CFF

by Anzy Lee

The self-similarity of fractals is indicated by the power-law relationship between their power spectral density and wave number, e.g. |X(k)|=Ck^(-b) where X(k) is the Fourier transform of surface elevation at wave number k and C and b are positive constants. b is often expressed as a Hurst exponent, H: b = 2H+1. 1) fractal_riverbed_4TU.m A Matlab script code to generate artificial fractal riverbeds with specified variables (e.g. Hurst Exponent, domain length, number of points, mininum wavenumber, roll-off wavenumber, ...) 2) artificial_surf1d_phaseC_4TU.m A Matlab function code to generate a power spectrum density and phase shift of a fractal riverbed. Input variables are Cq0 (maximum spectral density), H (Hurst Exponent), Lx (domain length), q0 (minimum wavenumber), qr (roll-off wavenumber1), qS (roll-off wavenumber2), qC (maximum wavenumber). 3) PSD_4TU.mat Power spectra of measured data (Martin, R. L., and D. J. Jerolmack (2013), Origin of hysteresis in bed form response to unsteady flows, Water Resour. Res., 49, 1314–1333, doi:10.1002/wrcr.20093.): qx (wavelength, 1/m), Cq (spectral density, m^3), phase

• 2019-10-21 first online, published, posted

4TU.Centre for Research Data

media types: application/x-matlab-data, application/zip, text/markdown, text/x-matlab

Purdue University, Lyles School of Civil Engineering