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首页> 外文期刊>Applied Mathematical Modelling >A new non-linear RANS model with enhanced near-wall treatment of turbulence anisotropy
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A new non-linear RANS model with enhanced near-wall treatment of turbulence anisotropy

机译:非线性RANS模型的近壁湍流各向异性增强处理

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摘要

A new ω-based non-linear eddy-viscosity model is proposed. It was developed based on the original k - ω model and formulated using a quadratic stress-strain relation for the Reynolds stress tensor, with an added realisability condition. For enhanced treatment of near-wall turbulence anisotropy, a formulation that scales only with the turbulent Reynolds number is proposed for the first time. The new model has been implemented in the open-source Computational Fluid Dynamics (CFD) package OpenFOAM and validated against plane channel flow, a zero-pressure-gradient flat plate, and a U-bend curved channel configuration. To further assess the performance of the model for more complex geometries, it has been tested on configurations relevant to automotive applications. Overall, the new model outperforms the standard k-ω model. For example, on a curved channel, improved predictions for the minimum pressure and maximum skin friction of approximately 50% are obtained. Improved predictions are also obtained for quantities of practical engineering relevance, such as the pressure distribution along the wall of a sudden expansion diffuser, a configuration used to inform the design of automotive exhaust systems. This demonstrates that the proposed model has important practical applications for internal flows where anisotropic turbulence effects dominate.
机译:提出了一种新的基于ω的非线性涡粘性模型。它是在原始k-ω模型的基础上开发的,并使用二次应力-应变关系为雷诺应力张量制定的,并增加了可实现性条件。为了增强对近壁湍流各向异性的处理,首次提出了仅随湍流雷诺数缩放的公式。新模型已在开源计算流体动力学(CFD)软件包OpenFOAM中实现,并针对平面通道流,零压力梯度平板和U形弯曲通道进行了验证。为了进一步评估模型针对更复杂几何形状的性能,已在与汽车应用相关的配置上对其进行了测试。总体而言,新模型的性能优于标准k-ω模型。例如,在弯曲的通道上,可以获得对最小压力和最大皮肤摩擦约为50%的改进预测。还获得了与实际工程相关性的改进预测,例如沿突然膨胀扩散器壁的压力分布(一种用于通知汽车排气系统设计的配置)。这表明,所提出的模型对于各向异性湍流作用占主导的内部流动具有重要的实际应用。

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