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DNS/LES of turbulent flow in a square duct: a priori evaluation of subgrid models

机译:方管中湍流的DNS / LES:子网格模型的先验评估

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We have performed a priori tests of two dynamic subgrid-scale (SGS) turbulence models using a highly resolved direct numerical simulation (DNS) database for the case of incompressible flow ina straight duct of square cross-section. The model testing is applied only to the homogeneous flow direction where grid filtering can be applied without the introduction of commutation errors. The first model is the dynamic (Smagorinsky/eddy viscosity) SGS model (DSM) developed by Germano et al.[5] while the second is the dynamic two-parameter (mixed) model (DTM) developed by Slvetti and Banerjee [2]. As found in prior studies of this sort there is a very poor correlationof the modelled and exact subgrid-scale dissipation in the case of teh DSM. The DSM over-predicts subgrid-scale dissipation on average. Instantaneously, the model provides an inaccurate representation of subgrid-scale dissipation, in general underestimating the magnitude by approximately one order of magnitude. On the other hand, the DTM shows excellent agreement with the exact SGS dissipation over most of teh duct corss-sectionwith a correlationcoefficient of approximately 0.9.
机译:我们已经使用高度解析的直接数值模拟(DNS)数据库对两个动态子网格规模(SGS)湍流模型进行了先验测试,以解决方形截面直管中不可压缩流动的情况。模型测试仅适用于均质流向,其中可以应用网格滤波而不会引入换向误差。第一个模型是由Germano等[5]开发的动态(Smagorinsky /涡流粘度)SGS模型(DSM)。第二个是Slvetti和Banerjee [2]开发的动态两参数(混合)模型(DTM)。正如在先前的此类研究中发现的那样,在DSM的情况下,建模和精确的亚网格规模耗散之间的相关性非常差。 DSM高估了平均子网格规模的损耗。瞬时地,该模型不能准确表示次网格规模的耗散,通常低估了其幅度约一个数量级。另一方面,DTM在导管大部分纵剖面上的精确SGS耗散表现出极好的一致性,相关系数约为0.9。

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