| 高阶FD-WENO格式用于Richtmyer-Meshkov不稳定性数值模拟 |
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| 引用本文： | 张瑗,李寿佛,刘玉珍,屈小妹,杨水平. 高阶FD-WENO格式用于Richtmyer-Meshkov不稳定性数值模拟[J]. 系统仿真学报, 2007, 19(18): 4122-4125 |
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| 作者姓名： | 张瑗 李寿佛 刘玉珍 屈小妹 杨水平 |
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| 作者单位： | 湘潭大学数学与计算科学学院,湖南,湘潭,411105 |
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| 基金项目： | 国家高技术研究发展计划(863计划);国家自然科学基金委员会-中国工程物理研究院联合基金(NSAF)资助项目;国家重点基础研究发展计划(973计划) |
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| 摘 要： | 用双曲守恒律组的高阶加权本质上无振荡有限差分格式(FD-WENO)求解在众多领域有着重要应用的高马赫数二维流体界面Richtmyer-Meshkov不稳定性问题及激波与气泡相互作用问题,获得了较为理想的数值结果。表明高阶FD-WENO格式的确特别适合于求解这类既具有激波有具有复杂流动结构的流体动力学问题,它比通常的二阶Godunov格式(如PPM等)更为优越。
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| 关 键 词： | 高阶FD-WENO格式 流体动力学Euler方程 Richtmyer-Meshkov不稳定性 数值模拟 |
| 文章编号： | 1004-731X（2007）18-4122-04 |
| 收稿时间： | 2006-08-26 |
| 修稿时间： | 2007-03-26 |
High Order FD-WENO Schemes for Richtmyer-Meshkov Instability |
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| ZHANG Yuan,LI Shou-fu,LIU Yu-zhen,QU Xiao-mei,YANG Shui-ping. High Order FD-WENO Schemes for Richtmyer-Meshkov Instability[J]. Journal of System Simulation, 2007, 19(18): 4122-4125 |
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| Authors: | ZHANG Yuan LI Shou-fu LIU Yu-zhen QU Xiao-mei YANG Shui-ping |
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| Affiliation: | School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China |
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| Abstract: | Using high order FD-WENO schemes to solve the Richtmyer-Meshkov instability problems of two dimensional fluid interface with high March number and the shock-bubble interaction problems,which have important application in many fields,the ideal numerical result were obtained. The results show that high order FD-WENO schemes are especially suitable for these kinds of problems which contain both shocks and complicated smooth flow structure,and that for these kinds of problems,high order FD-WENO schemes are indeed superior to second order Godunov schemes,such as PPM. |
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| Keywords: | high order FD-WENO schemes fluid dynamics Euler equations Richtmyer-Meshkov instability numerical simulation |
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