Abstract We present a novel hybrid scheme for the large eddy simulation (LES) of turbulent reacting flows. The scheme couples the discontinuous spectral element method (DSEM) solver for the unsteady compressible Navier-Stokes equations with a Monte Carlo particle filtered mass density function (FMDF) solver for the transport of reacting species. The method is capable of high-order simulations on unstructured grids. Mean particle estimate construction mimics the DSEM numerical procedure and utilizes variable basis functions. The scheme is tested on non-reacting and reacting Taylor-Green vortex flows. Studies of varying polynomial order, different basis functions for constructing particle estimates, and varying particle quantities are conducted. We demonstrate that a tent kernel, in conjunction with high polynomial order, produces the most accurate results. The chemically reacting simulations validate the hybrid scheme and demonstrate its applicability across a range of reaction regimes. The hybrid scheme's computational cost is 2.1 times the DSEM-LES solver.

中文翻译：

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湍流反应流的混合不连续谱元法和滤波质量密度函数求解器

摘要 我们提出了一种用于湍流反应流的大涡模拟 (LES) 的新型混合方案。该方案将用于不稳定可压缩 Navier-Stokes 方程的不连续谱元素法 (DSEM) 求解器与用于反应物质传输的蒙特卡罗粒子滤波质量密度函数 (FMDF) 求解器相结合。该方法能够对非结构化网格进行高阶模拟。平均粒子估计构造模仿 DSEM 数值程序并利用可变基函数。该方案在非反应和反应泰勒-格林涡流上进行了测试。对不同的多项式阶数、用于构建粒子估计的不同基函数以及不同的粒子数量进行了研究。我们证明了一个帐篷内核，结合高多项式阶，产生最准确的结果。化学反应模拟验证了混合方案并证明了其在一系列反应方案中的适用性。混合方案的计算成本是 DSEM-LES 求解器的 2.1 倍。