Reynolds number scaling of velocity increments in isotropic turbulence
Reynolds number scaling of velocity increments in isotropic turbulence
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DOI：
10.1103/physreve.95.021101
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发表时间：
2017-02-10
影响因子：
2.4
通讯作者：
Yeung, P. K.
中科院分区：
文献类型：
--
作者：
Iyer, Kartik P.;Sreenivasan, Katepalli R.;Yeung, P. K.
使用迄今为止最大的各向同性湍流数据库，通过在8192（3）周期盒上的Navier-Stokes方程的直接数值模拟（DNS）生成，我们表明纵向和横向速度增量在惯性范围内具有相同的尺度。通过检查在几个雷诺数的DNS数据，我们推断，过去的惯性范围的普遍性的矛盾的结果是低雷诺数和残余各向异性的文物。我们进一步表明，纵向和横向的速度增量规模上的局部平均耗散率，正如所假设的Kolmogorov的细化相似性假设，并且，在各向同性湍流，一个独立的缩放足以描述流体湍流的惯性范围内。
Using the largest database of isotropic turbulence available to date, generated by the direct numerical simulation (DNS) of the Navier-Stokes equations on an 8192(3) periodic box, we show that the longitudinal and transverse velocity increments scale identically in the inertial range. By examining the DNS data at several Reynolds numbers, we infer that the contradictory results of the past on the inertial-range universality are artifacts of low Reynolds number and residual anisotropy. We further show that both longitudinal and transverse velocity increments scale on locally averaged dissipation rate, just as postulated by Kolmogorov's refined similarity hypothesis, and that, in isotropic turbulence, a single independent scaling adequately describes fluid turbulence in the inertial range.