| 高精度差分格式WNND的构造及数值实验 |
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| 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 |
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| 作者姓名： | 赵海洋 刘伟 万国新 |
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| 作者单位： | 国防科技大学航天与材料工程学院,湖南,长沙,410073 |
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| 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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| 摘 要： | 基于二阶NND格式,通过引入Jiang和Shu的加权思想以及具有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。
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| 关 键 词： | WNND格式 数值模拟 Euler方程 Navier-Stokes方程 |
| 文章编号： | 1001-2486(2002)06-0011-04 |
| 收稿时间： | 2002-06-26 |
| 修稿时间： | 2002-06-26 |
The Structure and Numerical Experiment of High Order WNND Schemes |
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| ZHAO Haiyang,LIU Wei and 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 |
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| Authors: | ZHAO Haiyang LIU Wei WAN Guoxin |
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| Affiliation: | College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China;College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China;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. |
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| Keywords: | WNND scheme numerical simulation Euler equations Navier-Stokes equations |
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