| 两类激波捕捉格式的性能分析 |
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| 引用本文： | 于剑,阎超.两类激波捕捉格式的性能分析[J].北京航空航天大学学报,2010,36(1):10-13. |
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| 作者姓名： | 于剑 阎超 |
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| 作者单位： | 北京航空航天大学航空科学与工程学院,北京,100191;北京航空航天大学航空科学与工程学院,北京,100191 |
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| 基金项目： | 国家973计划资助项目(2009CB724104) |
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| 摘 要： | 考虑了两类典型的激波捕捉格式:特征形式的MUSCL(Monotone Upstream-centred Schemes for Conservation Laws)格式和WENO(Weighted Essentially Non-Oscillatory)格式.MUSCL格式在作特征变换时使用了局部线性化的思想,并且针对波系的性质施加相应的限制器;通过逐维重构实现有限体积法的WENO格式.针对一维、二维和三维Euler系统进行数值实验.在一维和二维的情况下,特征形式的MUSCL格式在接触间断的捕捉上具有较明显的优势,而对于激波的捕捉则差别不大.对于三维问题则是WENO格式对流场的分辨更精细.最后对上述结果给出解释,并且提出了可能的改进方法.
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| 关 键 词： | 计算流体力学 有限体积法 特征变量 加权本质无振荡格式 |
| 收稿时间： | 2008-12-30 |
On the performance of two shock-capturing schemes |
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| Yu Jian,Yan Chao.On the performance of two shock-capturing schemes[J].Journal of Beijing University of Aeronautics and Astronautics,2010,36(1):10-13. |
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| Authors: | Yu Jian Yan Chao |
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| Institution: | School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China |
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| Abstract: | Two shock-capturing schemes were considered: characteristic-based MUSCL(monotone upstream-centred schemes for conservation laws) scheme and WENO(weighted essentially non-oscillatory) scheme.Local linearization was employed when performing characteristic transformation,and limiters were applied according to the characteristics of waves;A dimension by dimension reconstruction was used to obtain truly accurate finite volume WENO scheme.Numerical experiments were carried out on one-,two-and three-dimensional Eu... |
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| Keywords: | computational fluid dynamics finite volume scheme characteristic variables weighted essentially non-oscillatory scheme |
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