通过空间过滤对反应示踪模型进行大涡流模拟分析

IF 4.1 2区 工程技术 Q1 MECHANICS
S. Legare, M. Stastna
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引用次数: 0

摘要

大型涡流模拟(LES)提供了一种在无法解析最小运动尺度的情况下分析和模拟多尺度流动的方法。在环境流动中,存在着许多涉及示踪剂反应的生物地球化学过程。在本研究中,我们对受到雷利-泰勒不稳定性诱导的三维湍流影响的理想化反应示踪剂模型进行了直接数值模拟,并对 LES 进行了后验分析。对包括反应示踪剂的平流-扩散-反应方程式在内的控制方程进行过滤,由此产生的子过滤尺度项用尺度间的相互作用来表示。该程序针对广义的 N 级多项式反应函数进行了演示。对数据应用了各种光谱滤波器并进行了比较。优先选择使用尽可能宽的滤波器和平滑截止。在每种滤波器选择中,都要考虑对反应函数进行滤波后产生的子滤波器尺度反应项。当使用特别苛刻的滤波器时,会发现子滤波器尺度反应项的分辨尺度和跨尺度分量的局部平衡。对于反应式和被动式示踪剂的垂直亚滤波尺度通量,也显示了同样的结果。亚滤波器尺度反应项和垂直通量项中涉及亚滤波器尺度相互作用的部分没有显示出任何局部平衡的迹象,而是分布在流体中精细湍流结构的周围。这表明,亚滤波尺度项的参数化将受益于考虑特定事件的动力学。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Large eddy simulation analysis of a model reactive tracer through spatial filtering
Large eddy simulations (LES) provide a methodology for both analyzing and simulating multi-scale flows when the smallest scales of motion cannot be resolved. Within environmental flows there exist numerous biogeochemical processes involving tracers undergoing reactions. In this study, we perform an a posteriori LES analysis on a direct numerical simulation of an idealized model reactive tracer subjected to three-dimensional turbulence induced by a Rayleigh–Taylor instability. The governing equations, including an advection–diffusion–reaction equation for the reactive tracer, are filtered, and the resulting sub-filter-scale terms are expressed in terms of interactions between scales. The procedure is demonstrated for a generalized degree N polynomial reaction function. Various spectral filters are applied to the data and compared. The preferential choice is to use the widest filter possible with a smoothed cutoff. The sub-filter-scale reaction term that results from filtering the reaction function is considered for each of the filter choices. When using a particularly harsh filter, local balances are found for the resolved scale and cross-scale components of the sub-filter-scale reaction term. The same result is shown for the vertical sub-filter-scale flux for both a reactive and a passive tracer. The components of the sub-filter-scale reaction and vertical flux terms involving interactions at the sub-filter-scale do not show any evidence of local balances and are distributed around the fine turbulent structures in the flow. This suggests that parameterizations for the sub-filter-scale terms would benefit from considering event specific dynamics.
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来源期刊
Physics of Fluids
Physics of Fluids 物理-力学
CiteScore
6.50
自引率
41.30%
发文量
2063
审稿时长
2.6 months
期刊介绍: Physics of Fluids (PoF) is a preeminent journal devoted to publishing original theoretical, computational, and experimental contributions to the understanding of the dynamics of gases, liquids, and complex or multiphase fluids. Topics published in PoF are diverse and reflect the most important subjects in fluid dynamics, including, but not limited to: -Acoustics -Aerospace and aeronautical flow -Astrophysical flow -Biofluid mechanics -Cavitation and cavitating flows -Combustion flows -Complex fluids -Compressible flow -Computational fluid dynamics -Contact lines -Continuum mechanics -Convection -Cryogenic flow -Droplets -Electrical and magnetic effects in fluid flow -Foam, bubble, and film mechanics -Flow control -Flow instability and transition -Flow orientation and anisotropy -Flows with other transport phenomena -Flows with complex boundary conditions -Flow visualization -Fluid mechanics -Fluid physical properties -Fluid–structure interactions -Free surface flows -Geophysical flow -Interfacial flow -Knudsen flow -Laminar flow -Liquid crystals -Mathematics of fluids -Micro- and nanofluid mechanics -Mixing -Molecular theory -Nanofluidics -Particulate, multiphase, and granular flow -Processing flows -Relativistic fluid mechanics -Rotating flows -Shock wave phenomena -Soft matter -Stratified flows -Supercritical fluids -Superfluidity -Thermodynamics of flow systems -Transonic flow -Turbulent flow -Viscous and non-Newtonian flow -Viscoelasticity -Vortex dynamics -Waves
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