The joint velocity-scalar filtered mass density function methodology is employed for large eddy simulation of Sandia National Laboratories' flame D. This is a turbulent piloted nonpremixed methane jet flame. In velocity-scalar filtered mass density function, the effects of the subgrid-scale chemical reaction and convection appear in closed forms. The modeled transport equation for the velocity-scalar filtered mass density function is solved by a hybrid finite difference/Monte Carlo scheme. For this flame, which exhibits little local extinction, a flamelet model is employed to relate the instantaneous composition to mixture fraction. The simulated results are assessed via comparison with laboratory data and show favorable agreements.
The grid dependence of LES/VSFMDF is studied on a series of grids with progressively increased resolution reaching over 10 million grids for simulation of a turbulent piloted nonpremixed methane jet flame (Sandia D). In VSFMDF, the effects of the subgrid scale chemical reaction and convection appear in closed forms. The modeled transport equation for the VSFMDF is solved by a hybrid finite-difference/Monte Carlo scheme. A flamelet model is employed to relate the instantaneous composition to the mixture fraction. The simulated results are assessed via comparison with laboratory data. In addition, the dependence of predicted statistics on the grid size of the simulation is studied. The first order moments converge for the finest grid, but the higher order statistics including the PDFs are more sensitive to the grid resolution.
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