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Balancing Accuracy and Efficiency in the Autonomic Closure Methodology for Large Eddy Simulations

机译:大型涡流模拟自主闭合方法的平衡准确性和效率

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Autonomic closure for large eddy simulations (LES) replaces traditional prescribed subgrid models with an adaptive self-optimizing closure that solves a local, nonlinear, non-parametric system identification problem for each subgrid term, potentially at every point and time in the simulation. This can be regarded as a type of dynamic closure based on highly generalized representations for subgrid terms, each having a large number of degrees of freedom for which coefficients are determined throughout the simulation from corresponding test-scale subgrid terms at a substantial number of nearby reference points. Here we consider autonomic closure for the suhgrid stresses, and evaluate numerous implementation choices to examine their effect on the balance between accuracy and efficiency in the autonomic closure methodology. Particular focus is placed on the spatial structure of subgrid production fields and the scale-dependent support-density fields on which large magnitudes of subgrid production are concentrated. We show that a relatively local, second-order, velocity-only, collocated implementation is able to produce subgrid stress and production fields in both isotropic and strongly anisotropic turbulence that closely match the detailed spatial structure and resulting statistics in the exact fields at essentially all resolved scales. This implementation of autonomic closure achieves its accuracy at a computational cost that is O(10~3) times lower than previous implementations. The resulting accuracy and efficiency are sufficient to enable autonomic closure to be applied in forward simulations, and we show that an implementation for the subgrid stress identified here integrates stably over long times in a pseudo-spectral LES code without the need for any limiters, added dissipation, or other means of ensuring stability.
机译:大型涡模拟的自主闭合(LES)取代了传统规定的SubGrid模型,自适应自我优化封闭封闭,用于为每个细分项解决局部,非线性非参数系统识别问题,可能在模拟中的每个点和时间。这可以被视为基于基于子耕地术语的高度广义表示的动态闭合的类型,每个表示具有大量自由度,其在大量附近参考中从相应的测试刻度级级术语确定系数的系数。要点。在这里,我们考虑Suhgrid压力的自主闭合,并评估许多实施选择,以检查它们对自主闭合方法中的准确性和效率之间的平衡的影响。特定的重点放在底耕地生产领域的空间结构和尺度依赖性支持密度场,其中集中了大量产量大幅度。我们表明,仅相对局部,二阶,速度,并置的实施能够在各向同性和强烈各向异性湍流中产生细分的应力和生产领域,这些湍流紧密匹配详细的空间结构并在基本上在确切的领域中产生统计数据解决的鳞片。这种自主闭合的实现以低于以前实现的计算成本实现了其准确性。由此产生的精度和效率足以使自主闭合在向前模拟中应用,并且我们表明,这里识别的子耕地应力的实现在伪光谱LES代码中长时间稳定集成,而不需要任何限制器耗散,或其他确保稳定的方法。

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