| 引用本文: | 侯中喜,易仕和,李桦.高精度高分辨率WENO格式分析与改进.[J].国防科技大学学报,2003,25(1):17-20.[点击复制] |
| HOU Zhongxi,YI Shihe,LI Hua.Analysis and Improvement of High Precision, High Resolution WENO Schemes[J].Journal of National University of Defense Technology,2003,25(1):17-20[点击复制] |
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| 高精度高分辨率WENO格式分析与改进 |
| 侯中喜, 易仕和, 李桦 |
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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: |
| 高精度、高分辨率计算格式对提高超声速复杂流场的计算水平有重要的意义。WENO格式是在ENO格式基础上发展起来的一类新型高精度、高分辨率格式，本文在格式加权算法理论和数值分析的基础，对加权算法进行了改进，通过模型问题应用可以看出：改进后格式权值的计算更为光滑，仍具有高精度、高分辨率的性质，并克服了随网格变化而出现的波动现象。 |
| 关键词: 高精度 高分辨率 WENO格式 加权因子 |
| DOI： |
| 投稿日期：2002-08-28 |
| 基金项目:国家部委资助项目(413130101)；校基础研究项目(JC01-01-002) |
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| Analysis and Improvement of High Precision, High Resolution WENO Schemes |
| HOU Zhongxi, YI Shihe, LI Hua |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| High precision,high resolution schemes have significant means in raising the level of the complex supersonic flowfield calculation. WENO schemes are new schemes recently developed which are based on the ENO schemes. The algorithm of weighted factors in WENO schemes was studied and analyzed by theoretic and numeric method. Then, the improvement of algorithm was given. Through applying the improved algorithm to two model problems, it shows that the weighted factor of improved schemes is more smooth. The improve schemes preserve high precision, high resolution characteristics and solve the problem of week oscillatory with varied mesh. |
| Keywords: high precision high resolution WENO scheme weighted factor |
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