| 求解双曲守恒律方程的高分辨率熵稳定格式 |
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| 引用本文： | 罗力,封建湖,唐小娟,向量. 求解双曲守恒律方程的高分辨率熵稳定格式[J]. 计算物理, 2010, 27(5): 671-678 |
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| 作者姓名： | 罗力 封建湖 唐小娟 向量 |
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| 作者单位： | 1. 长安大学理学院, 陕西 西安 710064;2. 深圳先进技术研究院, 广东 深圳 518055 |
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| 摘 要： | 熵稳定格式从物理概念出发,保证总熵关于时间耗散,在计算过程中无需进行熵修正,有效避免如膨胀激波,负压力等非物理现象,显示出独特的优点.通过插入限制器和在单元交界面处进行高阶重构,得到一类高分辨率的熵稳定格式.算例结果表明,格式具有可靠性,高精度和基本无振荡性等特点.
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| 关 键 词： | 熵稳定格式 双曲守恒律 高分辨率 限制器 |
| 收稿时间： | 2009-08-24 |
| 修稿时间： | 2009-12-21 |
High Resolution Entropy Stable Schemes for Hyperbolic Conservation Laws |
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| LUO Li,FENG Jianhu,TANG Xiaojuan,XIANG Liang. High Resolution Entropy Stable Schemes for Hyperbolic Conservation Laws[J]. Chinese Journal of Computational Physics, 2010, 27(5): 671-678 |
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| Authors: | LUO Li FENG Jianhu TANG Xiaojuan XIANG Liang |
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| Affiliation: | 1. College of Science, Chang'an University, Xi'an 710064, China;2. Shenzhen Institutes of Advanced Technology, Shenzhen 518055, China |
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| Abstract: | Entropy stable schemes based on physical concepts guarantee the dissipation of total entropy.They are unnecessarily entropy-fixed and effectively avoid unphysical phenomena such as expansion shock and negative pressure.By inserting limiters and using high order reconstructions at cell interfaces,a high resolution entropy stable scheme is proposed.Several numerical experiments demonstrate that the scheme is robust,accurate and essentially non-oscillations. |
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| Keywords: | entropy stable schemes conservation laws high resolution limiter |
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