| 五阶FD-WENO格式和二阶Godunov格式MUSCL的数值测试与定量比较 |
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| 引用本文： | 杨水平,李寿佛,屈小妹,张瑗,刘玉珍.五阶FD-WENO格式和二阶Godunov格式MUSCL的数值测试与定量比较[J].湘潭大学自然科学学报,2006,28(2):8-12. |
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| 作者姓名： | 杨水平 李寿佛 屈小妹 张瑗 刘玉珍 |
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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863高技术惯性约束聚变主题资助项目，国家自然科学基金资助项目(10271100) |
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| 摘 要： | 研制了用5阶FD-WENO格式(WENO5)及2阶Godunov格式(MUSCL)求解双曲守恒律组的应用软件.通过求解若干Riemann问题及较复杂的一维激波相互碰撞问题对这些软件进行测试和定量比较,发现对于Sod Riemann问题,两种格式都易于算出具有较高精度和较高分辨率的数值结果.
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| 关 键 词： | WENO格式 Godunov格式 双曲守恒律组 |
| 文章编号： | 1000-5900（2006）02-0008-05 |
| 收稿时间： | 2005-11-24 |
| 修稿时间： | 2005-11-24 |
Numerical Comparison of Fifth-order WENO Schemes and Second-order Godunov Schemes |
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| YANG Shui-ping,LI Shou-fo,QU Xiao-mei,ZHANG Yuan,LIU Yu-Zhen.Numerical Comparison of Fifth-order WENO Schemes and Second-order Godunov Schemes[J].Natural Science Journal of Xiangtan University,2006,28(2):8-12. |
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| Authors: | YANG Shui-ping LI Shou-fo QU Xiao-mei ZHANG Yuan LIU Yu-Zhen |
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| Institution: | College of Mathematics and Computer Science,Xiangtan University, Xiangtan 411105 China |
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| Abstract: | The software for solving the hyperbolic conservation laws with fifth-order FD WENO schemes(WENO5) and second-order Godunov schemes(MUSCL) are developed.To test and compare the softwares,computations on some Riemann problems and one-dimensional complex interacting blast wave problem are carried out.Numerical results show that for the Sod Riemann problem,high accuracy and high resolution results are easily achieved by both schemes,WENO5 has small viscosity,MUSCL has some small local oscillation obviously.But for the Woodward-Colella interacting blast wave problem and Peak Riemann problem and WENO5 is obviously better than MUSCL around the shock and the rarefaction,and WENO5 not only has a higher resolution but also smaller error. |
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| Keywords: | WENO schemes Godunov schemes Hyperbolic conservation laws |
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