A density control based adaptive hexahedralmesh generation algorithm

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Authors:

Xiangwei Zhang, School of Management, Shandong University, Jinan, Shandong, China

Lili Huang, Institute of Engineering Mechanics, Shandong Jianzhu University, Jinan, Shandong, China

Guoqun Zhao, Engineering Research Center for Mould & Die Technologies, Shandong University, Jinan, Shandong, China

Abstract:

Purpose. The quality of the finite element mesh is one of the important factors which determine the precision and accuracy of finite element analysis. A density control based adaptive hexahedral mesh generation algorithm for three dimensional models is presented in this paper.

Methodology. The main idea of the adaptive grid-based mesh generation algorithm is similar to those of other conventional grid-based methods, but the initial grid structure is generated adaptively based on the geometric features of the solid model.

Findings. The density control based hexahedral mesh generation algorithm can accurately capture the geometric features of the solid model with the least number of elements and can generate high quality of hexahedral element meshes.

Originality. A spatial refinement field is constructed in this paper to control the mesh size and density distribution based on the geometric factors of the solid model.

Practical value. Conformal hexahedral element meshes which can capture all the geometry characters of the solid models and meet finite element analysis are generated. The effectiveness of the algorithm and quality of the mesh generation are demonstrated by using a mechanical model.

References / Список літератури

1. Hu, K. and Zhang, Y. J., 2016. Centroidal voronoi tessellation based polycube construction for adaptive all-hexahedral mesh generation. Computer Methods in Applied Mechanics & Engineering, Vol. 305, pp. 405–421.

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6. Kawamura, Y., Islam, M. S. and Sumi, Y., 2008, A strategy of automatic hexahedral mesh generation by using an improved whisker-weaving method with a surface mesh modification procedure. Engineering with Computers, Vol. 24, No. 3, pp. 215229.

7. Bols, J., Taelman, L., De, S. G., Degroote, J., Verhegghe, B., Segers, P. and Vierendeels, J., 2016. Unstructured hexahedral mesh generation of complex vascular trees using a multi-block grid-based approach. Computer Methods in Biomechanics & Biomedical Engineering, Vol. 19, No. 6, pp. 663–672.

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9. Knupp, P. M., 2000. Achieving finite element mesh quality via optimization of the jacobian matrix norm and associated quantities. Part I – A framework for surface mesh optimization. International Journal for Numerical Methods in Engineering, Vol. 48, No. 3, pp. 401–420.

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ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

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