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COMPUTATION OF COMPRESSIBLE SEPARATED CHANNEL FLOWS WITH J-K AND TWO-LAYER K-EPSILON/K-L TURBULENCE MODELS

机译:使用J-K和两层K-EPSILON / K-L湍流模型计算可压缩分离通道流动的计算

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In this paper, an explicit time-marching finite-volume scheme has been used together with a number of convergence acceleration techniques such as the multigrid strategy. Two types of turbulence models, a Johnson-King (J-K) model and a two-layer k-epsilon/k-l model, have been incorporated and modified to model internal compressible flows with multiple walls. Some modifications have been made of the inner layer viscosity formulations of the J-K model in order to improve its predictive capability for flow separation. Partially implicit treatment of the transport-type equations of turbulence in the models is adopted, because the source terms in these equations can cause numerical stiffness when there are flow separation, sharp gradients and high cell-aspect ratio near the solid wall. A two-dimensional arc-bump flow investigated experimentally by Liu and Squire (1985) was calculated using the J-K model with satisfactory agreement with the corresponding measurement. Although efficient and accurate, it is found that the J-K model lacks the theoretical generality to be extended to model three-dimensional (3D) complex internal flows with multiple walls. Therefore a two-layer k-epsilon model is employed for 3D flow computation. Various measures are adopted to ensure stable and convergent numerical solution. A three-dimensional transonic channel flow with multiple shock/boundary layer interactions was studied with the aforementioned two-layer model and numerical methods. The results are compared with experimental measurements (Cahen, 1993) and numerical results obtained by using a Low-Reynolds-Number (LRN) k-epsilon model (VUB/FFA, 1993). Compared with other (LRN) two-equation models, the two-layer model implemented is promising in modeling very complex 3D internal flows in terms of efficiency, robustness and accuracy. The two-layer model permits uniform distribution of flow properties to be specified as initial condition which makes the simulation easier to be carried out.
机译:在本文中,一个显式的时间推进有限体积方案已经连同许多收敛加速技术使用诸如多重网格策略。两种类型的湍流模型,一个约翰逊王(J-K)模型的和双层的k的ε-/ K-L模型,已纳入和修改,以与多个壁内部可压缩流建模。一些修改,以便改善流动分离其预测能力方面取得的J-K型的内层粘度的制剂。在模型中湍流的传输型方程的部分的隐式处理被采用,因为在这些方程中的源项可引起数值的刚度时,有流动分离,锐梯度和高细胞纵横比实心壁的附近。二维圆弧凸块流由Liu和斯奎尔(1985)使用与相应的测量满意的协议中的J-K型计算实验研究。虽然高效,准确,发现的是,J-K·模型缺乏理论一般性扩展到三维(3D)复杂的内部流具有多个壁建模。因此两层的k的ε-模型被用于3D流计算。正在采取各种措施,以确保稳定和收敛的数值解。与多个震动/边界层的相互作用的三维跨音速流动通道与上述两层模型和数值方法的研究。将其结果与通过使用低雷诺数(LRN)的k的ε-模型(VUB / FFA,1993)获得的实验测量(擦痕,1993)和数值结果进行比较。与其他(LRN)两方程模型相比,两层模型实现在效率,鲁棒性和准确性方面非常复杂的三维内部流建模是有前途。两层模型允许流动性质的均匀分布到被指定为初始条件,这使得模拟更容易进行。

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