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高阶加权紧致非线性格式(WCNS)在二维流动计算中的加速收敛研究 被引量：2

Investigation of convergence acceleration for high-order scheme (WCNS) in 2D supersonic flows
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摘要 以二维圆柱超声速无粘和粘性绕流的数值模拟为例,空间项采用高阶精度格式WCNS离散,对比研究了LU-SGS、高斯-赛德尔点松弛、线松弛以及GMRES等隐式求解方法的收敛性,并对右端项中的无粘通矢量、GMRES方法中的预处理和子迭代等影响作了对比计算。结果表明,右端项采用Steger-Warming无粘通矢量的收敛性优于其他通失量方法,采用了准确的解析雅克比矩阵的点、线松弛的收敛速度优于LU-SGS,以线松弛为预处理的GMRES算法具有良好的收敛特性。 In this paper, a number of different implicit methods are compared for 2D inviscid and viscous supersonic flows in which the high-order scheme WCNS is used for space diseretization. The methods include LU-SGS, Gauss-Seidel point-relaxation,line-relaxation and GMRES preconditioned with each of the three others. The results indicate that： the inviscid flux-vector of Steger-Warming isbetter than the others, both the point and line relaxations with analytical Jacobian matrix converge ere faster than LU-SGS, and GMRES can obtain a higher convergence rate especially when combined with linerelaxation.
作者 张毅锋 邓小刚 毛枚良 陈坚强
机构地区 中国空气动力研究与发展中心
出处 《空气动力学学报》 CSCD 北大核心 2008年第3期349-355,共7页 Acta Aerodynamica Sinica
基金 创新研究群体科学基金(10321002) 国家杰出青年科学基金(10225208)
关键词 高阶精度格式 点松弛 线松弛 GMRES算法 收敛性 high-order scheme point relaxation line relaxation GMRES convergence rate
分类号 V211.3 [航空宇航科学与技术—航空宇航推进理论与工程]
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参考文献12

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共引文献21

同被引文献18

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二级引证文献17

空气动力学学报
2008年 第3期

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