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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 8, Pages 1402–1427
DOI: https://doi.org/10.31857/S0044466922080105
(Mi zvmmf11443)
 

10th International Conference "Numerical Geometry, Meshing and High Performance Computing (NUMGRID 2020/Delaunay 130)"
Mathematical physics

Boundary layer mesh generation with fast collision detection

J. Caoab, Zh. Guanab, Yu Feiab, S. H. Loc, X. Yangab, J. Zhangd

a Liaoning Province Ubiquitous Networking and Service Software Key Laboratory
b Dalian University of Technology, Department of Mechanical Engineering
c University of Hong Kong
d Shanghai Fangling Computer Software Co., Ltd.
Abstract: Normal computation and front intersection detection for boundary layer mesh generation are the most time-consuming parts in implementing a robust hybrid meshing tool for viscous flow simulations. This paper presents a generalized boundary layer meshing method with a fast collision detecting algorithm. The main works are as followings. Firstly, a novel continuous medial-surface representation method is proposed by splitting a constrained Delaunay triangulation (CDT) of boundary points in a linear complexity. Secondly, we enhance a Jump-and-Walk method for mesh intersection detecting by improving its robustness with a medial-surface wall introduced between marching fronts, which only relies on CDT and is simple to implement as no extra data structures are required. Finally, a concise domain partitioning and advancing method is used to significantly reduce the times of the normal computation and intersection detection operations at an extremely low price by sharing the CDT. The capability of the proposed algorithm is demonstrated by generating quality hybrid mesh for several models with complex configurations. The results show that it may be able considerably reduce the effort to implement a robust hybrid meshing program with a speed of about 4 times faster than a popular commercial software Pointwise for researchers.
Key words: boundary layer mesh, collision detection, constrained Delaunay triangulation, medial surface, domain partitioning.
Funding agency Grant number
National Natural Science Foundation of China 11272074
This work was funded by the National Natural Science Foundation of China (11272074).
Received: 10.10.2021
Revised: 03.03.2022
Accepted: 11.04.2022
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 8, Pages 1372–1396
DOI: https://doi.org/10.1134/S0965542522080103
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: J. Cao, Zh. Guan, Yu Fei, S. H. Lo, X. Yang, J. Zhang, “Boundary layer mesh generation with fast collision detection”, Zh. Vychisl. Mat. Mat. Fiz., 62:8 (2022), 1402–1427; Comput. Math. Math. Phys., 62:8 (2022), 1372–1396
Citation in format AMSBIB
\Bibitem{CaoGuaYu22}
\by J.~Cao, Zh.~Guan, Yu~Fei, S.~H.~Lo, X.~Yang, J.~Zhang
\paper Boundary layer mesh generation with fast collision detection
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 8
\pages 1402--1427
\mathnet{http://mi.mathnet.ru/zvmmf11443}
\crossref{https://doi.org/10.31857/S0044466922080105}
\elib{https://elibrary.ru/item.asp?id=49273513}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 8
\pages 1372--1396
\crossref{https://doi.org/10.1134/S0965542522080103}
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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