| 旋转的Rayleigh-Bénard问题的Lorenz模型及数值模拟 |
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| 引用本文： | 张银,许兰喜.旋转的Rayleigh-Bénard问题的Lorenz模型及数值模拟[J].北京化工大学学报(自然科学版),2010,37(3):140-143. |
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| 作者姓名： | 张银 许兰喜 |
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| 作者单位： | 北京化工大学 理学院， 北京 100029 |
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| 摘 要： | 利用截谱方法,将旋转的Rayleigh-Bénard问题转化为四维的Lorenz模型,估计出此Lorenz模型的参数取值范围为τ∈0,2],r∈(0,∞),b∈0,8/3]。比较了四维Lorenz方程与经典的三维的Lorenz方程(无旋转)的不同之处,在此基础上进行了数值模拟,结果表明旋转可以增加系统稳定性。
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| 关 键 词： | Lorenz方程 Rayleigh-Bénard问题 截谱方法 混沌 |
| 收稿时间： | 2009-11-30 |
Lorenz model for the rotating Rayleigh-Bénard problem and its numerical simulation |
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| ZHANG Yin,XU LanXi.Lorenz model for the rotating Rayleigh-Bénard problem and its numerical simulation[J].Journal of Beijing University of Chemical Technology,2010,37(3):140-143. |
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| Authors: | ZHANG Yin XU LanXi |
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| Institution: | School of Science, Beijing University of Chemical Technology, Beijing 100029, China |
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| Abstract: | The truncated spectral model is applied to transform the rotating Rayleigh-Bénard problem into a four-dimensional Lorenz model.The ranges of the parameter values are then estimated to be T∈0,√2],r∈(0,∞),b∈ 0,8/3].In addition,a comparison is made between the four-dimensional Lorenz model and the classical three-dimcnsional Lorenz model(without rotation).By a numerical simulation.it is shown that the rotation has a stabilizing effect on the system. |
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| Keywords: | Lorenz equations truncated spectral model chaos |
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