| 高阶间断有限元法的并行计算研究 |
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| 引用本文： | 夏轶栋,伍贻兆,吕宏强,宋江勇.高阶间断有限元法的并行计算研究[J].空气动力学学报,2011,29(5). |
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| 作者姓名： | 夏轶栋 伍贻兆 吕宏强 宋江勇 |
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| 作者单位： | 1. 南京航空航天大学航空宇航学院,江苏南京,210016
2. 中国飞行试验研究院,陕西西安,710089 |
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| 基金项目： | 教育部博士点青年基金(20070287024) |
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| 摘 要： | 根据间断有限元法的数据结构特点,基于METIS网格分区技术,设计并行计算策略,在非结构网格上实现了并行高阶间断有限元法。控制方程的数值通量项使用Local Lax-Friedrichs(LLF)格式计算。设计了并行的牛顿-块高斯赛德尔法(Newton-Block GS)来加速收敛,提高迭代效率。并行性能分析表明,所设计的并行算法能够得到较好的加速比和并行效率,有效地节省计算时间,合理分配内存。这使得采用高阶间断有限元法计算更为复杂的问题成为可能。
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| 关 键 词： | 并行计算 METIS 高阶间断有限元 Euler方程 Newton-Block GS |
Parallel computation of a high-order discontinuous Galerkin method on unstructured grids |
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| XIA Yi-dong,WU Yi-zhao,LV Hong-qiang,SONG Jiang-yong.Parallel computation of a high-order discontinuous Galerkin method on unstructured grids[J].Acta Aerodynamica Sinica,2011,29(5). |
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| Authors: | XIA Yi-dong WU Yi-zhao LV Hong-qiang SONG Jiang-yong |
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| Institution: | XIA Yi-dong1,WU Yi-zhao1,LV Hong-qiang1,SONG Jiang-yong2 |
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| Abstract: | Based on the METIS mesh partition technique,a parallel high-order Discontinuous Galerkin(DG) method is developed for the solution of the 2D Euler equations on unstructured grids.The developed parallel method is used to compute the compressible flows for test problems of different scales.The numerical flux of Euler equations is calculated by using Local Lax-Friedrichs(LLF) scheme;and a parallel Newton-Block GS method is devised to accelerate convergence.The numerical results obtained show that it has rapid c... |
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| Keywords: | parallel computation METIS high-order discontinuous Galerkin Euler equations Newton-Block GS |
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