Large Eddy Simulation of Turbulent Combustion via Filtered Mass Density Function

Abstract

This paper provides a brief review of the scalar filtered mass density function (FMDF) model. The FMDF is a subgrid-scale probability density function (PDF) model for large eddy simulation (LES) of turbulent combustion and is obtained by the solution of a set of stochastic differential equations by a Lagrangian Monte Carlo method. The applicability and the validity of the LES/FMDF are established by simulating various low and high speed, single-and two-phase turbulent reacting flows. The LES/FMDF results are found to be consistent and comparable to DNS and experimental results for different flows.

Turbulent mixing in non-isothermal jet in crossflow

“…Earlier applications of the FMDF/FDF model (FDF or filtered density function is the constant-density version of the FMDF) were for fundamental problems and were focused on the development and testing of various formulations of the model. The scalar FDF was considered in Colucci et al [29], the scalar FMDF in Jaberi et al [30]; Jaberi [31]; James and Jaberi [32]; Sheikhi et al [33]; Yaldizli et al [34]; Nik et al [35]; Yilmaz et al [36]; Banaeizadeh and Jaberi [37]; Afshari et al [38]; Afshari and Jaberi [39], the velocity FDF in Gicquel et al [40], the velocity-scalar FDF in Sheikhi et al [41] and the velocity-scalar FMDF in Sheikhi et al [42]; a review of these works is provided in Givi [43] and Madnia et al [44]. The LES/FMDF used in this study is implemented via a hybrid Eulerian-Lagrangian numerical scheme.…”

LES/FMDF of turbulent reacting jet in cross-flow

“…Previous applications of this approach have focused on developing and testing fundamental problems. Colucci et al (1998) considered the scalar form of FDF, while Jaberi et al (1999) and many others used the scalar FMDF (Esmaeili et al , 2015a; Afshari and Jaberi, 2005; Afshari et al , 2008; Banaeizadeh et al , 2011; Jaberi, 1999; James and Jaberi, 2000; Nik et al , 2010; Sheikhi et al , 2005; Yaldizli et al , 2010; Yilmaz et al , 2010; Esmaeili et al , 2015b; Banaeizadeh et al , 2013; Esmaeili and Afshari, 2019). Moreover, velocity and velocity-scalar FDFs and even velocity scalar FMDF were derived (Sheikhi et al , 2005; Sheikhi et al , 2007; Gicquel et al , 2002; Sheikhi et al , 2003).…”