Kelvin波的识别：数值挑战
Identification of Kelvin waves: numerical challenges
摘要：
Kelvin波在量子化涡旋的能量耗散中起着重要的作用。然而，这些螺旋扭曲的识别是不简单的，特别是在涡缠结的情况下。在这里，我们回顾了几个数值方法，已被用来识别开尔文波内的涡丝模型。我们使用几个例子来测试它们的有效性，并估计这些方法是否足够准确，以验证正确的开尔文光谱。我们还说明了关联维数是如何与不同的开尔文谱相关的，并提醒说，即使在开尔文波的存在下，三维能谱E（k）在高k区域也采用1/k的形式。
英文摘要：
Kelvin waves are expected to play an essential role in the energy dissipation for quantized vortices. However, the identification of these helical distortions is not straightforward, especially in case of vortex tangle. Here we review several numerical methods that have been used to identify Kelvin waves within the vortex filament model. We test their validity using several examples and estimate whether these methods are accurate enough to verify the correct Kelvin spectrum. We also illustrate how the correlation dimension is related to different Kelvin spectra and remind that the 3D energy spectrum E(k) takes the form 1/k in the high-k region, even in the presence of Kelvin waves.
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