拉格朗日滤波密度函数方法混合时间尺度建模的再探讨

IF 2 3区 工程技术 Q3 MECHANICS
Sergio Gutiérrez Sánchez, Jacqueline Yang, Andreas Kronenburg, Thorsten Zirwes
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引用次数: 0

摘要

多重映射条件(MMC)方法的混合模型被重新审视,因为其实现的一些细节尚未被评估。我们在非反应均质各向同性衰减湍流(HIT)中使用标量混合模拟,这样(1)可以从直接数值模拟中获取关键建模参数,而不会产生额外的建模不确定性;(2)可以直接验证。研究了Curl模型的变体,并寻求在标准(密集)和稀疏(如MMC)粒子方法的背景下与变体的性能进行直接比较,以模拟概率密度函数(PDF)。第二个目的是表明微混合和空间扩散在微分扩散存在下的相对重要性。结果表明,MMC近似于正确的高斯弛豫,与混合模型的变量无关。这与标准的PDF方法不同,后者需要计算网格给出清晰的空间定位来实现类似的结果。在MMC中不需要这种空间定位,因为MMC混合模型已经在参考空间中使用了定位。然而,只有在混合和空间输运都能解释分子扩散项差异的情况下,才能准确预测微分扩散效应。仅调整混合时间尺度是不够的,未来的MMC模式可能需要调整以获得准确的预测能力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Revisiting the Modelling of Mixing Time Scales for Lagrangian Filtered Density Function Methods

Mixing models for multiple mapping conditioning (MMC) methods are revisited as some details of their implementation have not yet been assessed. We use simulations of scalar mixing in non-reacting homogeneous isotropic decaying turbulence (HIT) such that (1) key modelling parameters can be taken from the direct numerical simulations without incurring additional modelling uncertainties and (2) direct validation is possible. Variants of Curl’s model are studied and direct comparison is sought with the variants’ performances in the context of standard (intensive) and sparse (such as MMC) particle approaches for the modelling of the probability density function (PDF). The second aim is to show the relative importance of micro-mixing and spatial diffusion in the presence of differential diffusion. The results demonstrate that MMC approximates the correct relaxation towards Gaussian independent of the mixing model’s variant. This is different from the standard PDF approach that requires a clear spatial localization given by the computational mesh to achieve a similar outcome. This spatial localization is not needed in MMC as the MMC mixing model already employs a localization in reference space. Differential diffusion effects can, however, only be accurately predicted if not only mixing but also spatial transport accounts for the differences in the molecular diffusion term. It is insufficient to adjust the mixing time scales only and future MMC models may require adjustments for accurate prediction capabilities.

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来源期刊
Flow, Turbulence and Combustion
Flow, Turbulence and Combustion 工程技术-力学
CiteScore
5.70
自引率
8.30%
发文量
72
审稿时长
2 months
期刊介绍: Flow, Turbulence and Combustion provides a global forum for the publication of original and innovative research results that contribute to the solution of fundamental and applied problems encountered in single-phase, multi-phase and reacting flows, in both idealized and real systems. The scope of coverage encompasses topics in fluid dynamics, scalar transport, multi-physics interactions and flow control. From time to time the journal publishes Special or Theme Issues featuring invited articles. Contributions may report research that falls within the broad spectrum of analytical, computational and experimental methods. This includes research conducted in academia, industry and a variety of environmental and geophysical sectors. Turbulence, transition and associated phenomena are expected to play a significant role in the majority of studies reported, although non-turbulent flows, typical of those in micro-devices, would be regarded as falling within the scope covered. The emphasis is on originality, timeliness, quality and thematic fit, as exemplified by the title of the journal and the qualifications described above. Relevance to real-world problems and industrial applications are regarded as strengths.
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