Filtered Mass Density Function for Use in Discontinuous Spectral Element Method

摘要

In this work, the filtered mass density function (FMDF) methodology is implemented in the discontinuous spectral element method (DSEM) for simulation of reacting flows in complex geometries. DSEM solves the compressible Navier-Stokes equations on an unstructured grid with high orders of accuracy. The FMDF is a probability density function method that has been developed for large eddy simulation (LES) of variable-density chemically reacting turbulent flows. The solution to the modeled FMDF transport equation is obtained by solving an equivalent set of stochastic differential equations (SDEs) which yield statistically equivalent results. The set of SDEs is solved by means of a Lagrangian Monte Carlo scheme. The validity of the scalar FMDF is appraised by determining the consistency against DSEM in a temporally developing shear layer. Additional results are shown for the DSEM-LES/FMDF simulation of a hydrogen-air reaction in a temporally-developing shear layer.