采用Power限制器的PNND和PWNND格式

计算物理 ›› 2007, Vol. 24 ›› Issue (6): 660-666.

采用Power限制器的PNND和PWNND格式

赵海洋, 刘伟, 杨小亮, 任兵

国防科技大学航天与材料工程学院, 湖南长沙 410073

收稿日期:2006-07-03 修回日期:2007-03-01 出版日期:2007-11-25 发布日期:2007-11-25
作者简介:赵海洋(1977-),男,山东烟台,博士生,从事计算流体力学方面的研究.

NND and Weighted NND Scheme with Power Limiter

ZHAO Haiyang, LIU Wei, YANG Xiaoliang, REN Bing

College of Aerospace and Material Technology, National University of Defense Technology, Changsha 410073, China

Received:2006-07-03 Revised:2007-03-01 Online:2007-11-25 Published:2007-11-25

摘要/Abstract

摘要： 为高精度捕捉激波等流场结构,引入一种Power限制器,对NND格式和WNND格式进行改进,分别得到二阶PNND(Power NND)格式和三阶PWNND(Power WNND)格式.该Power类型格式通过Power限制器对相邻待选模板上的一阶导数进行限制,改善了NND格式和WNND格式在间断附近的耗散效应.对各种格式的分析表明,在间断附近采用Power限制器的格式比原格式的表现要好,耗散小且捕捉间断精度高,其中PNND格式虽然只有二阶精度,但在所有算例中与三阶WNND格式的计算结果比较接近,在个别算例中甚至优于WNND格式.最后将PWNND格式应用到二维NACA0012翼型的强迫俯仰振动的数值模拟,计算结果与实验值、参考计算值吻合较好.

关键词: 高精度格式, NND格式, WNND格式, Power限制器

Abstract: To design a high-order accurate shock capturing method for hyperbolic conservation laws,we introduce a new power limiter to obtain a second-order power NND scheme and a third order power WNND scheme based on modification of NND scheme and WNND scheme.By applying the limiter to first-order differences of the candidate stencils,the power NND scheme and the power WNND scheme reduce the smearing near discontinuities.The power NND scheme and the power WNND scheme show less dissipation and less spurious oscillations,and catch the discontinuities more accurately than NND scheme and WNND scheme.The results of power NND scheme are similar to those of WNND scheme,and even better in some examples.The simulation of forced oscillation of the NACA0012 airfoil by power WNND scheme is in good agreement with experiments.

Key words: high order schemes, NND schemes, WNND schemes, power limiter

中图分类号:

V2ll

赵海洋, 刘伟, 杨小亮, 任兵. 采用Power限制器的PNND和PWNND格式[J]. 计算物理, 2007, 24(6): 660-666.

ZHAO Haiyang, LIU Wei, YANG Xiaoliang, REN Bing. NND and Weighted NND Scheme with Power Limiter[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 24(6): 660-666.

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