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Anisotropic turbulent model based on V2f model for natural and mixed convection in enclosed spaces

机译:基于V2f模型的密闭空间自然对流和混合对流的各向异性湍流模型。

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摘要

In previous work (Zhang etal. 2007) several Reynolds-averaged Navier-Stokes turbulent models were evaluated by the classic natural convection experiment. It was demonstrated that the V2f turbulent model shows the best overall performance compared to other models in terms of accuracy of temperature, velocity, and turbulent kinetic energy. However, all compared turbulent models cannot simulate the pseudo-laminar phenomenon in the center zone of the classic natural convection experiment. Moreover, the V2f model needs to solve four equations, and the transport equation for the wall normal stress and the elliptic equation for the relaxation function (f) make the model numerically unstable. Based on the idea of the V2f model, an anisotropic model (BV2fAM) was developed. In the BV2fAM model, as the turbulent kinetic intensity normal to streamlines was adopted and computed by local turbulent kinetic energy and local flow characteristic variable instead of the transport equation. The validity of the developed BV2fAM model was confirmed by two benchmark cases (classic natural convection in a tall cavity and mixed convection in a square cavity). It can be seen that the developed BV2fAM model can yield better simulated results of temperature, velocity, and turbulent kinetic energy than other compared models. Moreover, it can simulate the pseudo-laminar phenomenon in the center zone of the classic natural convection experiment.
机译:在先前的工作中(Zhang等人,2007),通过经典的自然对流实验评估了多个雷诺平均的Navier-Stokes湍流模型。事实证明,就温度,速度和湍动能的准确性而言,V2f湍流模型与其他模型相比具有最佳的总体性能。但是,所有比较的湍流模型都无法模拟经典自然对流实验中心区域的拟层流现象。此外,V2f模型需要求解四个方程,而壁法向应力的传递方程和松弛函数(f)的椭圆方程使该模型在数值上不稳定。基于V2f模型的思想,开发了各向异性模型(BV2fAM)。在BV2fAM模型中,采用与流线法线垂直的湍流动强度,并通过局部湍动能和局部流动特性变量代替输运方程进行计算。通过两个基准案例(高空腔中的经典自然对流和方空腔中的对流)证实了所开发的BV2fAM模型的有效性。可以看出,与其他比较模型相比,开发的BV2fAM模型可以更好地模拟温度,速度和湍动能。此外,它可以模拟经典自然对流实验中心区域的拟层流现象。

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