| 2类高阶格式数值测试和比较 |
| |
| 引用本文： | 杨水平,李寿佛,莫宏敏.2类高阶格式数值测试和比较[J].吉首大学学报(自然科学版),2007,28(4):30-34. |
| |
| 作者姓名： | 杨水平 李寿佛 莫宏敏 |
| |
| 作者单位： | （1.惠州学院数学系，广东 惠州 516007；2.湘潭大学数学与计算科学学院,湖南 湘潭 411105；3.吉首大学数学与计算机科学学院,湖南 吉首 416000） |
| |
| 基金项目： | 国家自然科学基金
,
国家高技术研究发展计划(863计划) |
| |
| 摘 要： | 通过求解二维Burgers方程初边值问题、二维周期漩涡问题、Richtmyer Meshkov(简称RM)不稳定性问题和Rayleigh-Taylor(简称RT)不稳定性问题，对五阶FD-WENO格式（简称WENO5）及二阶Godunov格式MUSCL进行了数值测试和比较.所得结果对于求解气体动力学问题及辐射流体力学问题时，怎样恰当地选择数值方法具有一定参考作用.
|
| 关 键 词： | WENO格式 Godunov格式 Euler方程 |
| 文章编号： | 1007-2985（2007）04-0030-05 |
| 收稿时间： | 2007-05-16 |
| 修稿时间： | 2007年5月16日 |
Numerical Study of Two High-Order Schemes for Compressible Euler Equation |
| |
| YANG Shui-ping,LI Shou-fo,MO Hong-min.Numerical Study of Two High-Order Schemes for Compressible Euler Equation[J].Journal of Jishou University(Natural Science Edition),2007,28(4):30-34. |
| |
| Authors: | YANG Shui-ping LI Shou-fo MO Hong-min |
| |
| Institution: | (1.Mathematics Department,Huizhou University,Huizhou 516007,Guangdong China;2.College of Mathematics and Computation Science,Xiangtan University,Xiangtan 411105,Hunan China;3.College of Mathematics and Computer Science,Jishou University,Jishou 416000,Hunan China) |
| |
| Abstract: | A numerical study is undertaken to compare the fifth-order finite difference weighted essentially non-oscillatory scheme (FD-WENO5) to the second-order Godunov scheme MUSCL (monotonic upstream-centered scheme for conservation laws).For quantitative comparison purpose,these methods are tested on a series of problems whose true solutions are known or can be computed with high accuracy,such as the two-dimensional Burgers initial problems,the two-dimensional periodic vortex problem,Richtmyer-Meshkov instability problems and Rayleigh-Taylor instability problems.The results can be referred to as to how to choose the numerical method when solving the problems of gas dynamics and radiation hydrodynamics. |
| |
| Keywords: | weighted essentially non-oscillatory scheme Godunov scheme Euler equation |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉首大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《吉首大学学报(自然科学版)》下载免费的PDF全文 |
