论文标题
外壳模型中间歇性湍流的隐藏比例不变性
Hidden scale invariance of intermittent turbulence in a shell model
论文作者
论文摘要
众所周知，由于间歇性，发达的流体动力湍流中的尺度不变性被损坏，证明了湍流的复杂性。在这里，我们通过在间歇性湍流中建立隐藏的自相似性来挑战量表破裂的概念。使用简化的（Shell）模型，我们得出了Inviscid方程的非线性时空尺度对称性，该方程是根据在不同的运动尺度引入的内在时代进行了重新制定的。数值分析有说服力地证实，这种对称性是在惯性间隔内以统计意义恢复的。最后，我们讨论了此结果对Navier-Stokes系统的含义。
It is known that scale invariance is broken in the developed hydrodynamic turbulence due to intermittency, substantiating complexity of turbulent flows. Here we challenge the concept of broken scale invariance by establishing a hidden self-similarity in intermittent turbulence. Using a simplified (shell) model, we derive a nonlinear spatiotemporal scaling symmetry of inviscid equations, which are reformulated in terms of intrinsic times introduced at different scales of motion. Numerical analysis persuasively confirms that this symmetry is restored in a statistical sense within the inertial interval. At the end, we discuss implications of this result for the Navier-Stokes system.
