论文标题
弱可压缩的二维湍流的保形不变性
Conformal invariance of weakly compressible two-dimensional turbulence
论文作者
论文摘要
我们研究低马赫数下弱压缩的二维湍流中涡度簇的保形不变性。根据非常高的分辨率直接数值模拟，我们证明了逆级联反向级数的缩放不变性，比例接近Kolmogorov预测。在这一系列范围内，发现零涡度分离线的统计量与临界渗透的量度兼容，从而概括了在不可压缩的Navier-Stokes湍流中获得的结果。
We study conformal invariance of vorticity clusters in weakly compressible two-dimensional turbulence at low Mach numbers. On the basis of very high resolution direct numerical simulation we demonstrate the scaling invariance of the inverse cascade with scaling close to Kolmogorov prediction. In this range of scales, the statistics of zero-vorticity isolines are found to be compatible with those of critical percolation, thus generalizing the results obtained in incompressible Navier-Stokes turbulence.
