| 二维Rayleigh-Bénard对流问题稳定性的数值追踪 |
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| 引用本文： | 包燕刚,张彦,武际可. 二维Rayleigh-Bénard对流问题稳定性的数值追踪[J]. 力学与实践, 2000, 22(2) |
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| 作者姓名： | 包燕刚 张彦 武际可 |
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| 作者单位： | 北京大学力学与工程科学系,北京,100871 |
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| 基金项目： | 国家自然科学基金!（19990510） |
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| 摘 要： | 用分解算子法和延续算法对二维Ｒａｙｌｅｉｇｈ－Ｂｅｎａｒｄ对流问题的稳定性进行了数值追踪研究．画出了 Ｐｒ＝ １０时不同 Ｒａ所对应的流线，等涡线和等温线图；并求出了对于不同Ｐｒ数所对应的临界Ｒａ数，其值大约为２７４０，计算结果与物理分析相一致，与三维实验结果比较也合理．
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| 关 键 词： | 分解算子法 延续算法 Rayleigh-Bénard对流问题 临界Ra数 |
NUMERICAL COMPUTATION FOR THE STABILITY OF THE RAYLEIGH-B''ENARD THERMALLY DRIVEN FLOW |
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| BAO Yangang,ZHANG Yan,WU Jike. NUMERICAL COMPUTATION FOR THE STABILITY OF THE RAYLEIGH-B''ENARD THERMALLY DRIVEN FLOW[J]. Mechanics and Engineering, 2000, 22(2) |
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| Authors: | BAO Yangang ZHANG Yan WU Jike |
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| Abstract: | The stability of the Rayleigh-Benard thermally driven flow is numerically computed with an operator transformation and the continuation method. The contours of stream function, vorticity and temperature are drawn for different values of Ra when Pr = 1.0; and the critical Ra number at several Pr numbers is about 2740. The result agrees with the physics analysis, and is also reasonable as compared with three-dimensional experiment. |
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| Keywords: | operator decomposition method continuation method Rayleigh-Benard thermally driven flow critical Ra number |
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