| 基于新光滑因子的WENO5格式 |
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| 引用本文： | 武从海,赵宁.基于新光滑因子的WENO5格式[J].计算数学,2011,33(3):257-268. |
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| 作者姓名： | 武从海 赵宁 |
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| 作者单位： | 南京航空航天大学航空宇航学院, 南京 210016 |
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| 基金项目： | 国家自然科学基金资助项目(10728206,50830201) |
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| 摘 要： | 针对WENO格式的构造,本文给出了一个WENO为5阶的充分条件,降低了Henrick等人提出的充分条件对于权因子的精度要求.另外,对于Jiang和Shu提出的WENO5中的光滑因子中两项的系数做出了调整,并结合Borges等人的方法得到了新的WENO权因子计算方法.从数值试验的结果可以看出,新的WENO格式对于连续波形...
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| 关 键 词： | WENO格式 光滑因子 高精度格式 |
| 收稿时间： | 2010-04-15; |
WENO5 SCHEME BASED ON A NEW SMOOTHNESS INDICATOR |
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| Wu Conghai,Zhao Ning.WENO5 SCHEME BASED ON A NEW SMOOTHNESS INDICATOR[J].Mathematica Numerica Sinica,2011,33(3):257-268. |
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| Authors: | Wu Conghai Zhao Ning |
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| Institution: | College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | In this paper,we give a sufficient condition on the weights of WENO5 for fifth-order convergence,which has a lower order requirement on the weights than condition previously proposed by Henrick et al.And we adjust the coefficients of the smoothness indicator of WENO5 introduced by Jiang and Shu.Combined with the method of Borges et al,we get a new way to compute the weights of WENO5 scheme.From the results of numerical experiments,we find that in smooth region WENO5 scheme based on this new smooth indicator... |
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| Keywords: | WENO scheme smoothness indicator high order scheme |
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