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Residual-based multiscale turbulence modeling: Finite volume simulations of bypass transition.

机译:基于残差的多尺度湍流建模:旁路过渡的有限体积模拟。

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Variational multiscale concepts are used to construct subgrid-scale models for Large-Eddy Simulation (LES) of turbulence. The basic idea of this framework is to introduce, a priori, a decomposition of the solution into coarse and fine scales. The coarse scales are identified with the numerical approximation, while the fine scales are identified with the subgrid scales and need to be modeled. A residual-based fine-scale approximation is proposed by extending to the nonlinear realm algebraic approximations of the local Green's function. These approximations, based on the Stabilized Methods theory, may be thought of as the modeling component of the proposed approach. This new modeling concept is very different from the classical LES modeling ideas, which are dominated by the addition of ad hoc eddy viscosities.; These newer variational multiscale ideas, and the older variants, have been implemented in a finite volume program that has enjoyed widespread use in turbulence simulations. The difficult problem of simulating the bypass transition of a boundary layer is examined from the point of view of the variational multiscale method and classical LES. The aim was to solve this problem as an LES and demonstrate the efficacy of the new residual-based modeling ideas in the process. Independent of the LES method, it was found that in order to accurately simulate bypass transition, the decay of input homogeneous, isotropic, free-stream turbulence must be the same for all meshes. A procedure was developed that enabled simulation of consistent energy decay with the range of meshes considered. The formulation is outlined and numerical results are presented and compared to a conventional LES approach, DNS results and experimental data.; The new method performs as well as the state-of-the-art LES models and offers a promising new path for turbulence research in LES. However, it obviously needs further testing on a wider variety of flows and implementation in a variety of numerical frameworks before drawing definitive conclusions. The experience gained indicates that the particular numerical discretization method has an enormous impact upon the results, and its influence is often underestimated by practitioners evaluating models.
机译:变分多尺度概念用于构建湍流的大涡模拟(LES)的亚网格尺度模型。该框架的基本思想是先验地将解决方案分解为粗略和精细尺度。粗尺度用数值近似来识别,而细尺度用亚网格尺度来识别,需要建模。通过扩展到局部格林函数的非线性领域代数近似,提出了基于残差的精细尺度近似。这些基于稳定方法理论的近似值可以被认为是所提出方法的建模组件。这种新的建模概念与经典的LES建模思想有很大不同,后者主要是通过添加特殊的涡流粘度来控制的。这些新的变体多尺度思想和较旧的变体思想已在有限体积程序中实现,该程序已在湍流模拟中得到广泛使用。从变分多尺度方法和经典LES的角度研究了模拟边界层旁路过渡的难题。目的是解决作为LES的问题,并在此过程中演示新的基于残差的建模思想的有效性。独立于LES方法,发现为了准确模拟旁路过渡,所有网格的输入均质,各向同性,自由流湍流的衰减必须相同。开发了一种程序,该程序可以在考虑的网格范围内模拟一致的能量衰减。概述了配方,并给出了数值结果,并将其与常规LES方法,DNS结果和实验数据进行了比较。新方法的性能与最新的LES模型一样好,并为LES中的湍流研究提供了有希望的新途径。但是,在得出明确的结论之前,显然需要对各种流程和在各种数值框架中的实现进行进一步测试。所获得的经验表明,特定的数字离散化方法对结果有很大的影响,而实践者评估模型常常低估了它的影响。

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