| 二维欧拉方程高分辨正性保持差分格式 |
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| 引用本文： | 赵宁,张虎.二维欧拉方程高分辨正性保持差分格式[J].南京航空航天大学学报(英文版),2000,17(2). |
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| 作者姓名： | 赵宁 张虎 |
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| 作者单位： | 1. 南京航空航天大学空气动力学系南京,210016
2. 香港科技大学数学系,香港九龙 |
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| 摘 要： | 针对二维欧拉方程研究了一类高分辨正性保持波尔兹曼型差分格式,首先分析了波尔兹曼方程和欧拉方程之间的关系;然后,利用一种特殊的插值技术构造了一类高分辨波尔兹曼型差分格式.最后通过数值实验验证了格式的实用性和有效性.
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| 关 键 词： | 欧拉方程 波尔兹曼方程 有限差分格式 正性保持 |
HIGH RESOLUTION POSITIVITY-PRESERVING DIFFERENCE SCHEMES FOR TWO DIMENSIONAL EULER EQUATIONS |
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| Zhao Ning,Zhang Hu.HIGH RESOLUTION POSITIVITY-PRESERVING DIFFERENCE SCHEMES FOR TWO DIMENSIONAL EULER EQUATIONS[J].Transactions of Nanjing University of Aeronautics & Astronautics,2000,17(2). |
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| Authors: | Zhao Ning Zhang Hu |
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| Abstract: | A class of high resolution positivity-preserving Boltzmann type difference schemes for one and two imensional Euler equations is studied. First, the relation between Boltzmann and Euler equations is analyzed. By using a kind of special interpolation, the high resolution Boltzmann type difference scheme is constructed. inally, numerical tests show that the schemes are effective and useful. |
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| Keywords: | Euler equation Boltzmann equation finite difference scheme positivity-preserving |
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