论文标题
Saffman-Taylor的手指在中间噪音
Saffman-Taylor Fingers at Intermediate Noise
论文作者
论文摘要
我们通过使用边界积分方法以及Kadanoff-Liang修饰扩散限制的聚合模型来研究中间噪声的Saffman-Taylor流量，该模型融合了表面张力和降低的噪声。几乎没有噪音，两种模型都会导致著名的萨夫曼 - 泰勒手指重现。我们比较了中间噪声区域中的两个模型，在中间噪声中，我们偶尔会出现小费分解事件，重点是集合平均水平。我们表明，随着系统中的噪声的增加，两个模型中的平均行为接近$ \ cos^2（πy/w）$横向密度曲线远远远远在领先前端。我们还研究了噪声尺度和影响两个模型的方式。
We study Saffman-Taylor flow in the presence of intermediate noise numerically by using both a boundary-integral approach as well as the Kadanoff-Liang modified Diffusion-Limited Aggregation model that incorporates surface tension and reduced noise. For little to no noise, both models result reproduce the well-known Saffman-Taylor finger. We compare both models in the region of intermediate noise where we get occasional tip-splitting events, focusing on the ensemble-average. We show that as the noise in the system is increased, the mean behavior in both models approaches the $\cos^2(πy/W)$ transverse density profile far behind the leading front. We also investigate how the noise scales and affects both models.
