Scheel J D, Paul M R, Cross M C, Fischer P F
Department of Physics, California Institute of Technology 114-36, Pasadena, California 91125, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6 Pt 2):066216. doi: 10.1103/PhysRevE.68.066216. Epub 2003 Dec 31.
Numerical simulations of the Boussinesq equations with rotation for realistic no-slip boundary conditions and a finite annular domain are presented. These simulations reproduce traveling waves observed experimentally. Traveling waves are studied near threshold by using the complex Ginzburg-Landau equation (CGLE): a mode analysis enables the CGLE coefficients to be determined. The CGLE coefficients are compared with previous experimental and theoretical results. Mean flows are also computed and found to be more significant as the Prandtl number decreases (from sigma=6.4 to sigma=1). In addition, the mean flow around the outer radius of the annulus appears to be correlated with the mean flow around the inner radius.
本文给出了在实际无滑移边界条件和有限环形区域下，含旋转项的布辛涅斯克方程的数值模拟结果。这些模拟重现了实验中观测到的行波。通过使用复金兹堡 - 朗道方程（CGLE）对接近阈值的行波进行研究：模态分析能够确定CGLE系数。将这些CGLE系数与先前的实验和理论结果进行了比较。还计算了平均流，发现随着普朗特数减小（从σ = 6.4到σ = 1），平均流变得更加显著。此外，环形区域外半径周围的平均流似乎与内半径周围的平均流相关。
