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A Thickened Stochastic Fields Approach for Turbulent Combustion Simulation

机译：湍流燃烧模拟的增厚随机磁场方法

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摘要

The Stochastic Fields approach is an effective way to implement transported Probability Density Function modelling into Large Eddy Simulation of turbulent combustion. In premixed turbulent combustion however, thin flame-like structures arise in the solution of the Stochastic Fields equations that require grid spacing much finer than the filter scale used for the Large Eddy Simulation. The conventional approach of using grid spacing equal to the filter scale yields substantial numerical error, whereas using grid spacing much finer than the filter length scale is computationally-unaffordable for most industrially-relevant combustion systems. A Thickened Stochastic Fields approach is developed in this study in order to provide physically-accurate and numerically-converged solutions of the Stochastic Fields equations with reduced compute time. The Thickened Stochastic Fields formulation bridges between the conventional Stochastic Fields and conventional Thickened-Flame approaches depending on the numerical grid spacing utilised. One-dimensional Stochastic Fields simulations of freely-propagating turbulent premixed flames are used in order to obtain criteria for the thickening factor required, as a function of relevant physical and numerical parameters, and to obtain a model for an efficiency function that accounts for the loss of resolved flame surface area caused by applying the thickening transformation to the Stochastic Fields equations. The Thickened Stochastic Fields formulation is tested by performing LES of a laboratory premixed Bunsen flame. The results demonstrate that the Thickened Stochastic Fields method produces accurate predictions even when using a grid spacing equal to the filter scale. The present development therefore facilitates the accurate application of the Stochastic Fields approach to industrially-relevant combustion systems.
机译：随机田地方法是实现传输概率密度函数建模的有效方法，进入湍流燃烧的大涡模拟。然而，在预热的湍流燃烧中，在随机场方程的溶液中出现薄的火焰状结构，该方程式需要比用于大涡模拟的过滤量级更精细地更精细地更精细。使用网格间隔等于过滤尺度的传统方法产生了大量的数值误差，而使用比滤波器长度比大多数工业相关的燃烧系统更精细的网格间距。在该研究中开发了一种增厚的随机领域方法，以提供具有减少计算时间的随机字段方程的物理准确和数值融合的解决方案。根据使用的数值栅格间隔，传统随机场和传统增厚火焰方法之间的增稠随机区域配制桥。使用自由传播湍流预混火焰的一维随机田间模拟，以便获得所需的增稠因子的标准，作为相关的物理和数值参数的函数，并获得效率函数的模型，用于占损失的效率通过将增稠变换施加到随机场方程而引起的分辨的火焰表面积。通过对实验室预混合的Bunsen火焰进行LES来测试增稠的随机田间制剂。结果表明，即使在使用等于过滤量表的网格间隔时，增厚的随机区域方法也能够精确预测。因此，本显影促进了随机领域的准确应用于工业相关的燃烧系统。

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