| 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 |
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(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 |
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(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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