期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 122, 期 1, 页码 25-52出版社
WILEY
DOI: 10.1002/nme.6519
关键词
adaptive mesh coarsening; error estimation; polygonal elements; unstructured mesh; virtual element method
资金
- Georgia Institute of Technology
- Korea Institute of Energy Technology Evaluation and Planning [20174030201480]
- National Research Foundation of Korea [2018R1A2B6007054]
- National Research Foundation of Korea [2018R1A2B6007054] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
An adaptive mesh morphogenesis method is proposed for coarsening arbitrary unstructured meshes, utilizing a posteriori error estimation and an edge straightening scheme. The method can be recursively conducted, regardless of element type and mesh generation counting. Employing a topology-based data structure to handle mesh modification events, it effectively handles mesh coarsening for arbitrarily shaped elements while capturing problematic regions with sharp gradients or singularity.
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.
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