• Corpus ID: 211010936

Surface roughness in finite element meshes

@article{Loth2020SurfaceRI,
  title={Surface roughness in finite element meshes},
  author={Fabian Loth and Thomas Kiel and Kurt Busch and Philip Tr{\o}st Kristensen},
  journal={arXiv: Computational Physics},
  year={2020}
}

• Fabian Loth, T. Kiel, +1 author P. Kristensen
• Published 3 February 2020
• Computer Science
• arXiv: Computational Physics

We present a practical approach for constructing meshes of general rough surfaces with given autocorrelation functions based on the unstructured meshes of nominally smooth surfaces. The approach builds on a well-known method to construct correlated random numbers from white noise using a decomposition of the autocorrelation matrix. We discuss important details arising in practical applications to the physicalmodeling of surface roughness and provide a software implementation to enable use of the approach with a broad range of numerical methods in various fields of science and engineering.