Ditlevsen PD
The Niels Bohr Institute, University of Copenhagen, Juliane Maries Vej 30, DK-2100 Copenhagen O, Denmark.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Jul;62(1 Pt A):484-9. doi: 10.1103/physreve.62.484.
Reduced wave number models of turbulence, namely shell models, show cascade processes and anomalous scaling of correlators which might be analogous to what is observed in Navier-Stokes (NS) turbulence. The scaling properties of the shell models depend on the specific symmetries and invariants of the models. A shell model is investigated. It is argued that this model might have a closer resemblance than the standard Gledzer-Ohkitani-Yamada model to the NS turbulence. The shell model investigated here coincides with the Sabra model proposed by L'vov et al. [Phys. Rev. E. 58, 1811 (1998)] for a specific choice of the free parameters of their model. For this choice of parameters, besides the energy and the "helicity," the model has a cubic inviscid invariant.
湍流的约化波数模型，即壳模型，展示了级联过程以及关联函数的反常标度，这可能类似于在纳维 - 斯托克斯（NS）湍流中所观察到的情况。壳模型的标度性质取决于模型的特定对称性和不变量。研究了一个壳模型。有人认为，与标准的格列德泽 - 奥基塔尼 - 山田模型相比，该模型可能与NS湍流有更紧密的相似性。这里研究的壳模型与L'vov等人[《物理评论E》58, 1811 (1998)]提出的萨布拉模型在其模型自由参数的特定选择下是一致的。对于这种参数选择，除了能量和“螺旋度”之外，该模型还有一个三次无粘不变量。
