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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2022 Volume 62, Number 8, Pages 1402–1427 (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.

UDC: 519.63

Received: 10.10.2021
Revised: 03.03.2022
Accepted: 11.04.2022

DOI: 10.31857/S0044466922080105


 English version:
Computational Mathematics and Mathematical Physics, 2022, 62:8, 1372–1396

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© Steklov Math. Inst. of RAS, 2024