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Computational Morphogenesis: Morphologic constructions using polygonal discretizations
Author(s) -
Choi Habeun,
Chi Heng,
Park Kyoungsoo,
Paulino Glaucio H.
Publication year - 2020
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6519
Subject(s) - polygon mesh , mesh generation , a priori and a posteriori , computer science , morphogenesis , finite element method , process (computing) , algorithm , cluster analysis , topology (electrical circuits) , mathematics , artificial intelligence , engineering , computer graphics (images) , structural engineering , philosophy , biochemistry , chemistry , epistemology , combinatorics , gene , operating system
Summary 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.