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Towards a Two-Equation Algebraic Structure-Based Model with Applications to Turbulent Separated Flows

机译:基于二方程代数结构的模型及其在湍流分离流中的应用

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A new variant of the Algebraic Structure-Based Model (ASBM) of Langer & Reynolds (2003) is developed and applied in Reynolds-averaged Navier-Stokes (RANS) simulations of turbulent separated flows. In the ASBM, additional information in the form of structure tensors, such as the dimensionality tensor, is used to determine the Reynolds-stress distribution. In this work, we have selected k-e based transport equations to compute the turbulent kinetic energy and turbulence time scale at an adequate level of accuracy. These equations are supplemented with an elliptic relaxation approach to represent the wall blocking effects. Additionally, a new linear transformation approach - inspired by existing eddy realignment within the ASBM formulation - is introduced to account for redistribution effects and inhomogeneity encountered in near-wall flows. It is observed that a strong implicit coupling of the mean flow and turbulence equations is required to achieve fully-converged steady-state solutions. The new model is first used to simulate a fully developed periodic channel flow, for which it is shown to perform extremely well in predicting the turbulence stress anisotropy. When applied to flows involving mild and massive flow separation, improved behavior is observed when compared to linear eddy viscosity models, but further refinements of the model are required to capture the details of the recirculation zone predicted by high-fidelity turbulence simulations.
机译:Langer&Reynolds(2003)的基于代数结构模型(ASBM)的新变体得到开发,并应用于湍流分离流的雷诺平均Navier-Stokes(RANS)模拟中。在ASBM中,采用结构张量形式的附加信息(例如维数张量)来确定雷诺应力分布。在这项工作中,我们选择了基于k-e的输运方程式,以足够的精度来计算湍流动能和湍流时间尺度。这些方程用椭圆松弛法进行补充,以表示墙体的阻塞效果。此外,引入了一种新的线性变换方法,该方法受ASBM公式中现有的涡流重新排列的启发,用于解决近壁流中遇到的重新分布效应和不均匀性。可以看出,需要平均流和湍流方程的强隐式耦合才能实现完全收敛的稳态解。新模型首先用于模拟充分发展的周期性通道流,为此,在预测湍流应力各向异性方面,该模型表现出色。当应用于涉及轻度和大规模流分离的流时,与线性涡流粘度模型相比,观察到了改进的行为,但是需要对模型进行进一步的改进,以捕获由高保真湍流模拟预测的再循环区域的细节。

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