引用本文: | 赵海洋,刘伟,万国新.高精度差分格式WNND的构造及数值实验[J].国防科技大学学报,2002,24(6):11-14.[点击复制] |
ZHAO Haiyang,LIU Wei,WAN Guoxin.The Structure and Numerical Experiment of High Order WNND Schemes[J].Journal of National University of Defense Technology,2002,24(6):11-14[点击复制] |
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高精度差分格式WNND的构造及数值实验 |
赵海洋, 刘伟, 万国新 |
(国防科技大学 航天与材料工程学院,湖南 长沙 410073)
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摘要: |
基于二阶NND格式,通过引入Jiang和Shu的加权思想以及具TVD性质的三阶Runge-Kutta方法,构造了一种时间、空间均达到三阶精度的WNND格式。分别以波动方程、一维Euler方程和三维全Navier-Stokes方程为例,通过对WNND格式的数值结果分析表明,WNND格式引起的耗散和波动较小,并且能够高精度地分辨场间断。 |
关键词: WNND格式 数值模拟 Euler方程 Navier-Stokes方程 |
DOI: |
投稿日期:2002-06-26 |
基金项目:湖南省自然科学基金资助项目(01jjy2008);国家部委资助项目(413130101) |
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The Structure and Numerical Experiment of High Order WNND Schemes |
ZHAO Haiyang, LIU Wei, WAN Guoxin |
(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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Abstract: |
Based on the 2nd order NND scheme, a third order WNND scheme was constructed with Jiang and Shu's weighted idea and third order TVD Runge-Kutta method.It was applied in solving linear equation,1D Euler equations and 3D Navier-Stokes equations. The numerical results indicate that WNND scheme brings about less dissipation and spurious oscillations,and it can catch the discontinuities of the flow field. |
Keywords: WNND scheme numerical simulation Euler equations Navier-Stokes equations |
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