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arXiv · 2002.00894

Surface roughness in finite element meshes

Fabian Loth·Thomas Kiel·Kurt Busch·Philip T. Kristensen
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Abstract

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.

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Fabian Loth, Thomas Kiel, Kurt Busch, Philip T. Kristensen. 2020-02-03. Surface roughness in finite element meshes. https://arxiv.org/abs/2002.00894

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