Computational Morphogenesis: Morphologic constructions using polygonal discretizations

Habeun Choi, Heng Chi, Kyoungsoo Park, Glaucio H. Paulino

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

To consistently coarsen arbitrary unstructured meshes, a computational morphogenesis process is built in conjunction with a numerical method of choice, such as the virtual element method with adaptive meshing. The morphogenesis procedure is performed by clustering elements based on a posteriori error estimation. Additionally, an edge straightening scheme is introduced to reduce the number of nodes and improve accuracy of solutions. The adaptive morphogenesis can be recursively conducted regardless of element type and mesh generation counting. To handle mesh modification events during the morphogenesis, a topology-based data structure is employed, which provides adjacent information on unstructured meshes. Numerical results demonstrate that the adaptive mesh morphogenesis effectively handles mesh coarsening for arbitrarily shaped elements while capturing problematic regions such as those with sharp gradients or singularity.

Original languageEnglish (US)
Pages (from-to)25-52
Number of pages28
JournalInternational Journal for Numerical Methods in Engineering
Volume122
Issue number1
DOIs
StatePublished - Jan 15 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Keywords

  • adaptive mesh coarsening
  • error estimation
  • polygonal elements
  • unstructured mesh
  • virtual element method

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