Transported probability density function (PDF) methods are widely used to model turbulent flames characterized by strong turbulence-chemistry interactions. Numerical methods directly resolving the PDF are commonly used, such as the Lagrangian particle or the stochastic fields (SF) approach. However, especially for premixed combustion configurations, characterized by high reaction rates and thin reaction zones, a fine PDF resolution is required, both in physical and in composition space, leading to high numerical costs. An alternative approach to solve a PDF is the method of moments, which has shown to be numerically efficient in a wide range of applications. In this work, two Quadrature-based Moment closures are evaluated in the context of turbulent premixed combustion. The Quadrature-based Moment Methods (QMOM) and the recently developed Extended QMOM (EQMOM) are used in combination with a tabulated chemistry approach to approximate the composition PDF. Both closures are first applied to an established benchmark case for PDF methods, a plug-flow reactor with imperfect mixing, and compared to reference results obtained from Lagrangian particle and SF approaches. Second, a set of turbulent premixed methane-air flames are simulated, varying the Karlovitz number and the turbulent length scale. The turbulent flame speeds obtained are compared with SF reference solutions. Further, spatial resolution requirements for simulating these premixed flames using QMOM are investigated and compared with the requirements of SF. The results demonstrate that both QMOM and EQMOM approaches are well suited to reproduce the turbulent flame properties. Additionally, it is shown that moment methods require lower spatial resolution compared to SF method.

运移概率密度函数（PDF）方法被广泛用于以湍流-化学相互作用为特征的湍流火焰建模。通常使用直接解析PDF的数值方法，例如拉格朗日粒子或随机场（SF）方法。但是，特别是对于以高反应速率和较薄反应区为特征的预混燃烧配置，在物理空间和组成空间上都需要良好的PDF分辨率，从而导致较高的数值成本。求解PDF的另一种方法是矩量法，该方法在许多应用中都显示出了数值上的效率。在这项工作中，在湍流预混燃烧的情况下评估了两个基于正交的矩闭合。基于正交的矩量法（QMOM）和最近开发的扩展QMOM（EQMOM）与列表化学方法结合使用以近似组成PDF。首先将两个封闭件应用于已建立的PDF方法基准案例，混合不完善的活塞流反应器，然后与从拉格朗日粒子和SF方法获得的参考结果进行比较。其次，模拟了一组湍流的甲烷-空气预混火焰，改变了卡洛维兹数和湍流长度标度。将获得的湍流火焰速度与SF参考溶液进行比较。此外，研究了使用QMOM模拟这些预混火焰的空间分辨率要求，并将其与SF要求进行了比较。结果表明，QMOM和EQMOM方法都非常适合再现湍流火焰特性。此外，表明矩量法与SF法相比需要较低的空间分辨率。