Furukawa A, Meyer H, Onuki A
Department of Physics, Kyoto University, Kyoto 606-8502, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jun;71(6 Pt 2):067301. doi: 10.1103/PhysRevE.71.067301. Epub 2005 Jun 6.
Numerical simulation studies in 2D with the addition of noise are reported for the convection of a supercritical fluid, 3He , in a Rayleigh-Bénard cell. The noise addition is to accelerate the instability growth after starting the heat flow across the fluid, so as to bring simulations into better agreement with published experimental observations. Homogeneous temperature noise and spatial longitudinal periodic temperature variations in either top or bottom plates were programmed into the simulations. The second method was the most effective in speeding up the instability onset. For a small amplitude of the longitudinal perturbations, a semiquantitative agreement with the observations was obtained. The results are discussed in relation to predictions by El Khouri and Carlès.
报告了二维条件下添加噪声的数值模拟研究，该研究针对超临界流体3He在瑞利-贝纳德槽中的对流情况。添加噪声是为了在启动流体中的热流后加速不稳定性增长，以便使模拟结果与已发表的实验观测结果更好地吻合。模拟中编入了均匀温度噪声以及顶板或底板中的空间纵向周期性温度变化。第二种方法在加速不稳定性起始方面最为有效。对于纵向扰动的小振幅情况，得到了与观测结果的半定量吻合。结合埃尔胡里和卡尔ès的预测对结果进行了讨论。
