衰减turbulence和混沌吸引子的发展
Decaying turbulence and developing chaotic attractors
摘要：
在自由衰减湍流中，研究了分布混沌的两个主要吸引子之间的竞争，一个与平移对称性（均匀性）有关，另一个与旋转对称性（各向同性）有关。结果表明，与统计稳定的均匀各向同性湍流的情况下，与旋转对称性（和Loitsyanskii积分控制）的吸引子可以主导湍流局部动力学在衰减的中间阶段，因为与平移对称性（和Birkhoff-Saffman积分控制）的吸引子仍然没有得到足够的发展。DNS数据被用来支持这一结论。
英文摘要：
Competition between two main attractors of the distributed chaos, one associated with translational symmetry (homogeneity) and another associated with rotational symmetry (isotropy), has been studied in freely decaying turbulence. It is shown that, unlike the case of statistically stationary homogeneous isotropic turbulence, the attractor associated with rotational symmetry (and controlled by Loitsyanskii integral) can dominate turbulent local dynamics in an intermediate stage of the decay, because the attractor associated with translational symmetry (and controlled by Birkhoff-Saffman integral) is still not developed enough. The DNS data have been used in order to support this conclusion.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
