Fast spherical centroidal Voronoi mesh generation: A Lloyd-preconditioned LBFGS method in parallel

JOURNAL OF COMPUTATIONAL PHYSICS

卷:367

Article

Yang, Huanhuan¹  Gunzburger, Max²  Ju, Lili³ 

[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

[2] Florida State Univ, Dept Sci Comp, Tallahassee, FL 32306 USA

[3] Univ South Carolina, Dept Math, Columbia, SC 29208 USA

关键词: Centroidal Voronoi tessellation;    Lloyd-preconditioned LBFGS;    Mesh generation;    Climate modeling;    Domain decomposition;   

DOI  :  10.1016/j.jcp.2018.04.034

来源: Elsevier

【 摘 要 】

Centroidal Voronoi tessellation (CVT)-based mesh generation is a very effective technique for creating high-quality Voronoi meshes and their dual Delaunay triangulations that often play a crucial role in applications, including ocean and atmospheric simulations using finite volume schemes. In the next generation climate models, the spacing scales change dramatically across the whole sphere and require ultra-high resolution and smooth transitions from coarse to fine grid regions. Thus fast and robust spherical CVT (SCVT) meshing algorithms become highly desirable. In this paper, we first propose a Lloydpreconditioned limited-memory BFGS method for constructing SCVTs that is also applicable to the construction of CVTs of general domains. This method is then parallelized based on overlapping domain decomposition, enabling excellent scalability on distributed systems. Results of several computational experiments show that the new method could incur computational time costs one order of magnitude smaller compared with some existing methods for generating large-scale highly variable-resolution meshes, while also providing significant improvements in mesh quality. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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