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首页> 外文期刊>Combustion Science and Technology >Algorithmic Aspects of the LES-PBE-PDF Method for Modeling Soot Particle Size Distributions in Turbulent Flames
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Algorithmic Aspects of the LES-PBE-PDF Method for Modeling Soot Particle Size Distributions in Turbulent Flames

机译：LES-PBE-PDF方法的算法方面，用于湍流火焰中涂抹烟灰粒度分布的方法

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摘要

In recent times, the LES-PBE-PDF framework has been developed to couple large eddy simulation (LES) and population balance models (PBE) for the description of soot formation in turbulent hydrocarbon flames. This approach is based on a modeled evolution equation for the LES-filtered probability density function (pdf) associated with the instantaneous gas composition and soot particle size distribution. Here, the interaction of turbulence with chemical reactions and soot formation can be represented without approximations on part of the chemical and soot formation kinetics, while effects due to turbulent transport and molecular diffusion require closure. In view of an efficient numerical solution scheme, we previously proposed to combine a statistically equivalent reformulation of the joint scalar-number density pdf based on Eulerian stochastic fields with a time-explicit adaptive grid discretization in particle size space and a fractional time stepping scheme. In this article, we present algorithmic aspects and relay implementational details for a consistent semi-discrete formulation of the PBE fractional step as well as an effective dynamic load balancing scheme for both the chemical reaction and PBE fractional steps. Considering soot formation in the Delft III turbulent diffusion flame as a test case, we show that the persisting load imbalance is almost negligible on average and give evidence of linear strong scaling on a modern high performance computer for moderate numbers of compute nodes.
机译：最近，已经开发了LES-PBE-PDF框架，以实现大型涡流模拟（LES）和群体平衡模型（PBE），以便在湍流碳氢化合物火焰中描述烟灰形成。该方法基于与瞬时气体组成和烟灰粒度分布相关的LES过滤概率密度函数（PDF）的建模演化方程。这里，可以在没有近似的化学和烟灰地形成动力学的情况下表示具有化学反应和烟灰形成的湍流的相互作用，而由于湍流传输和分子扩散导致的效果需要封闭。鉴于高效的数字解决方案方案，我们之前提出基于欧拉随机区域的联合标量密密度PDF的统计上等效的重构，其具有粒度空间和分数时间踩踏方案的时间显式自适应网格离散化。在本文中，我们提出了PBE分数步骤的一致半离散制剂的算法方面和中继实施细节，以及用于化学反应和PBE分数的有效动态负载平衡方案。考虑到Delft III湍流扩散火焰中的烟灰形成作为测试用例，我们认为持久的负载不平衡平均几乎可以忽略不计，并在现代高性能计算机上提供线性强调的证据，以适量增加数量的计算节点。

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