论文标题
关于在湍流流量的分解分析中使用涡流
On the use of eddy viscosity in resolvent analysis of turbulent channel flow
论文作者
论文摘要
评估了分解分析对湍流通道流的预测,用于摩擦雷诺的retau = 550。除了具有运动粘度的标准分辨率运算符外,还考虑了带有Cess Eddy粘度的分解操作员。添加涡流粘度会显着改变分解的低排名行为。无论选择的波速如何,与标准分辨率相比,涡流分辨率为LY+ = 80和LY/H = 3.5的Spanwise波长的低率是低率的,与标准分辨率相比,其低级别行为取决于波速。与标准分辨率模式相比,领先的涡流模式从光谱正交分解中具有更高的投影。但是,这两个分析都可靠地预测了最有力的波速。标准的分解倾向于高估它,而涡流分解低估了它。当低估了最有能力的波速时,涡流模式就会靠近墙壁。但是,涡流分辨率确实正确地识别了与近壁周期相关的结构的最有力的波速度和模式形状,或者在z/h = 0.5时最有能量的循环。由于污水涡流曲线的缩放,这些结构可能会正确预测任何摩擦雷诺数的数量。最后,结果表明,涡流预测的准确性取决于正能量转移和负能量之间的适当平衡。即使涡流粘度主要增加耗散,其壁正态梯度仍会在近壁区域注入能量,从而导致附着在壁上的模式形状。对于某些尺度,预测的正能传递太强,因此将结构偏向壁。 CESS Eddy粘度曲线对正能量转移和负能量转移建模的能力表明,它可以针对单个尺度进行优化。
The predictions of resolvent analysis for turbulent channel flow are evaluated for a friction Reynolds number of Retau = 550. In addition to the standard resolvent operator with kinematic viscosity, a resolvent operator augmented with the Cess eddy viscosity is considered. Adding eddy viscosity significantly alters the low-rank behavior of the resolvent. Regardless of the wave speed selected, the eddy resolvent is low-rank for spanwise wavelengths of ly+ = 80 and ly/h = 3.5 in comparison to the standard resolvent whose low-rank behavior depends on the wave speed. The leading eddy modes have higher projections onto the leading mode from spectral proper orthogonal decomposition in comparison to standard resolvent modes. Neither analysis, however, reliably predicts the most energetic wave speed. The standard resolvent tends to overestimate it while the eddy resolvent underestimates it. When the most energetic wave speed is underestimated, the eddy modes are energetic too close to the wall. The eddy resolvent does, however, correctly identify the most energetic wave speed and mode shapes for structures associated with the near-wall cycle or that are most energetic at z/h = 0.5. These structures are likely to be correctly predicted for any friction Reynolds number due to the scaling of the Cess eddy viscosity profile. Finally, it is shown that the accuracy of eddy predictions relies on the right balance between positive and negative energy transfers. Even though eddy viscosity primarily adds dissipation, its wall-normal gradient injects energy in the near-wall region, resulting in mode shapes that are attached to the wall. For some scales the predicted positive energy transfer is too strong thus biasing structures towards the wall. The ability of the Cess eddy viscosity profile to model both positive and negative energy transfers suggests that it could be optimized for individual scales.