Generator of a periodic random self-affine field

Information

• Author: Vladislav A. Yastrebov
• Affiliation: MINES Paris, Centre des Materiaux, CNRS
• Date: 2015-2023
• Licence: BSD 3-Clause

Description

It is a C++ implementation of the method proposed in Y.Z. Hu and K. Tonder, "Simulation of 3-D random rough surface by 2-D digital filter in fourier space", Int. J. Mach. Tools Manufact. 32:83-90 (1992): DOI One could also check our paper where this method was used to generate rough surfaces for contact analysis between rough surfaces: V.A. Yastrebov, G. Anciaux, J.F. Molinari. "The role of the roughness spectral breadth in elastic contact of rough surfaces", Journal of the Mechanics and Physics of Solids, 107:469-493 (2017): DOI, arXiv

Input: it requires 8 arguments:

• [1] lower cutoff wavenumber k1 (int)
• [2] upper cutoff wavenumber k2 (int)
• [3] Hurst exponent, H (double) // 0 < H < 1
• [4] number of points per size, L (int) // powers of 2, i.e. 128, 256, 512, etc
• [5] seed for the random number generator, s (int)
• [6] standard deviation of heights, rms (double)
• [7] number of bins in pdf data, Npdf (int)
• [8] if the power spectral density has a plateau up to k1? (0 - non, 1 -yes)

Short help:

• to compile src/*
$ make
• the executable SURFACE_GENERATOR is put in bin/ to execute run
  $./SURFACE_GENERATOR
  if you do not provide arguments, it will print the arguments it needs.

Python implementation

Python implementation is available under CC0 license, you can find it in python/RandomField.py.