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首页> 外文期刊>Proceedings of the National Academy of Sciences of the United States of America >Mathematical Test Models For Superparametrization In Anisotropic Turbulence
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Mathematical Test Models For Superparametrization In Anisotropic Turbulence

机译：各向异性湍流超参数化的数学测试模型

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摘要

The complexity of anisotropic turbulent processes over a wide range of spatiotemporal scales in engineering turbulence and climate atmosphere ocean science requires novel computational strategies with the current and next generations of supercomputers. In these applications the smaller-scale fluctuations do not statistically equilibrate as assumed in traditional closure modeling and intermittently send significant energy to the large-scale fluctuations. Superparametrization is a novel class of seamless multi-scale algorithms that reduce computational labor by imposing an artificial scale gap between the energetic smaller-scale fluctuations and the large-scale fluctuations. The main result here is the systematic development of simple test models that are mathematically tractable yet capture key features of anisotropic turbulence in applications involving statistically intermittent fluctuations without local statistical equilibration, with moderate scale separation and significant impact on the large-scale dynamics. The properties of the simplest scalar test model are developed here and utilized to test the statistical performance of superparametrization algorithms with an imposed spectral gap in a system with an energetic -5/3 turbulent spectrum for the fluctuations.
机译：在工程湍流和气候大气海洋科学中，大范围的时空尺度上各向异性湍流过程的复杂性要求当前和下一代超级计算机采用新颖的计算策略。在这些应用中，较小规模的波动无法像传统封闭模型那样在统计上达到平衡，并会间歇性地向较大规模的波动发送大量能量。超参数化是一类新颖的无缝多尺度算法，通过在高能小尺度波动和大尺度波动之间施加人为的尺度差距来减少计算量。此处的主要结果是系统开发了简单的测试模型，这些模型在数学上易于处理，但在涉及统计间歇性波动而没有局部统计平衡的应用中，捕获了各向异性湍流的关键特征，具有中等规模的分离度，并且对大规模动力学有重大影响。这里开发了最简单的标量测试模型的属性，并用于在具有高-5/3湍流谱的系统波动中测试具有谱隙的超参数化算法的统计性能。

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