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力学与实践 ›› 2000, Vol. 22 ›› Issue (2): 0-0.doi: 10.6052/1000-0879-f2000-037

• 论文 •    

二维Rayleigh-Bénard对流问题稳定性的数值追踪

包燕刚 张彦   

  1. 北京大学力学与工程科学系
  • 收稿日期:2008-01-14 修回日期:1900-01-01 出版日期:2000-04-10 发布日期:2000-04-10

NUMERICAL COMPUTATION FOR THE STABILITY OF THE RAYLEIGH-BENARD THERMALLY DRIVEN FLOW

  • Received:2008-01-14 Revised:1900-01-01 Online:2000-04-10 Published:2000-04-10

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.

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.