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.
|Number of pages||28|
|Journal||International Journal for Numerical Methods in Engineering|
|Publication status||Published - 2021 Jan 15|
Bibliographical noteFunding Information:
Habeun Choi and Kyoungsoo Park acknowledge the supports from the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning (grant number: 2018R1A2B6007054), and from the Korea Institute of Energy Technology Evaluation and Planning (KETEP) funded by the Ministry of Trade, Industry & Energy (grant number: 20174030201480). Heng Chi and Glaucio H. Paulino acknowledge support from the Raymond Allen Jones Chair at the Georgia Institute of Technology.
Georgia Institute of Technology, Raymond Allen Jones Chair; Korea Institute of Energy Technology Evaluation and Planning, 20174030201480; National Research Foundation of Korea, 2018R1A2B6007054 Funding information
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Applied Mathematics