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改进的无结构网格区域分裂的MMET数学模型及其算法设计

Improved MMET Model and Algorithm for Unstructured Grids Domain Decomposition

中文摘要英文摘要

在考虑到实际计算区域更多种网格单元的情况下,建立了以最小化最大执行时间为目标函数的区域分裂数学模型,并且推导出了邻接矩阵在发生行列交换前后模型中“特征量”新旧值的关系表达式,将之应用到模型的求解中去,使得求解该模型的计算量大大减少。以无结构三角网格为例,得出了比较好的并行加速比和并行效率,表明了该区域分裂数学模型的可行性和有效性。

ccording to the case of more kinds of grid units in the actural numerical domains, a mathematical model has been built, which minimizing the maximum executing time of sub-domains was made as objective function. Then, the relationship expressions of the value of “characteristic quantities” between old and new were induced when the two ranks or columns of the adjacent matrix changed location each other. At the same time, a noted array was adapted to solve this model. Compared with the old method, the quantities of computing decreased many in this way. Finally, taking triangular unstructured grids as an example, according to the new theoretical calculating , the speedup and efficiency are given. The feasibility and efficacy of the model are showed.

王锦、孙建树、王如云

计算技术、计算机技术

无结构网格,并行计算,区域分裂,并行效率

unstructured gridsparallel computingdomain decompositionefficiency

王锦,孙建树,王如云.改进的无结构网格区域分裂的MMET数学模型及其算法设计[EB/OL].(2008-03-25)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/200803-717.点此复制

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