DOI: https://doi.org/10.26089/NumMet.v23r207

Algorithm of numerical modelling of the surface diffusion flow for periodic triangulated surfaces

Authors

  • Yury D. Efremenko

Keywords:

numerical methods
surface diffusion
triangulation
topology changes
retriangulation algorithms,
mean curvature

Abstract

The algorithm of numerical modelling of the surface diffusion flow for periodic triangulated initial surface is proposed in the paper. To process the singularities that appear during computations the algorithms of retriangulation were developed. The cases of singularity inside of the cube containing the surface, on it’s face, edge and corner were considered. The work of the algorithm is illustrated with several examples.

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Published

2022-05-31

Issue

Vol. 23 (2022): Issue 2.

Section

Methods and algorithms of computational mathematics and their applications

Author Biography

Yury D. Efremenko

Novosibirsk State University
• Research Engineer

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