Tetrahedral mesh refinement in distributed environments

Tetrahedral mesh refinement in distributed environments
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分布式环境中的四面体网格细化

DOI:
10.1109/icppw.2006.72
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发表时间:
2006
期刊:
2006 International Conference on Parallel Processing Workshops (ICPPW'06)
影响因子:
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通讯作者:
Mehmet Balman
Mehmet Balman
中科院分区:
--
文献类型:
--
作者:
Mehmet Balman

文献摘要

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自适应网格加密是求解偏微分方程的主要技术之一。由于3维结构更加复杂,因此很少有细化方法,特别是对于并行环境。另一方面,已经提出了许多算法用于二维结构。分析了里瓦拉的最长边二分算法,研究了该问题的并行化技术,提出了一种非均匀四面体网格加密的并行方法。本研究的主要目标是提出一个实际的细化框架,为现实生活中的应用。我们描述了一个可用的数据结构的分布式环境,并提出了一个实用程序,能够分布处理器之间的网格数据,以解决大型网格结构
The adaptive mesh refinement is one of the main techniques used for the solution of partial differential equations. Since 3-dimensional structures are more complex, there are few refinement methods especially for parallel environments. On the other hand, many algorithms have been proposed for 2-dimensional structures. We analyzed the Rivara's longest-edge bisection algorithm, studied parallelization techniques for the problem, and presented a parallel methodology for the refinement of non-uniform tetrahedral meshes. The main goal of this research is to propose a practical refinement framework for real-life applications. We describe a usable data structure for distributed environments and present a utility capable of distributing the mesh data among processors to solve large mesh structures