A filtered mass density function approach for modeling separated two-phase flows for LES I: Mathematical formulation

2006 ◽  
Vol 32 (3) ◽  
pp. 365-384 ◽  
Author(s):  
M.D. Carrara ◽  
P.E. DesJardin
Keyword(s):  
Density Function ◽  
Mass Density ◽  
Mathematical Formulation ◽  
Function Approach ◽  
Two Phase Flows ◽  
Two Phase ◽  
Filtered Mass Density Function

Two-phase filtered mass density function for LES of turbulent reacting flows

2014 ◽  
Vol 760 ◽  
pp. 243-277 ◽  
Author(s):  
Z. Li ◽  
A. Banaeizadeh ◽  
F. A. Jaberi
Keyword(s):  
Density Function ◽  
Stokes Equations ◽  
Liquid Droplet ◽  
Mass Density ◽  
Mixing Layer ◽  
Reacting Flows ◽  
Navier Stokes ◽  
Turbulent Reacting Flows ◽  
Two Phase ◽  
Filtered Mass Density Function

AbstractThis paper describes a new computational model developed based on the filtered mass density function (FMDF) for large-eddy simulation (LES) of two-phase turbulent reacting flows. The model is implemented with a unique Lagrangian–Eulerian–Lagrangian computational methodology. In this methodology, the resolved carrier gas velocity field is obtained by solving the filtered form of the compressible Navier–Stokes equations with high-order finite difference (FD) schemes. The gas scalar (temperature and species mass fractions) field and the liquid (droplet) phase are both obtained by Lagrangian methods. The two-way interactions between the phases and all the Eulerian and Lagrangian fields are included in the new two-phase LES/FMDF methodology. The results generated by LES/FMDF are compared with direct numerical simulation (DNS) data for a spatially developing non-reacting and reacting evaporating mixing layer. Results for two more complex and practical flows (a dump combustor and a double-swirl burner) are also considered. For all flows, it is shown that the two-phase LES/FMDF results are consistent and accurate.

A Hybrid Large Eddy Simulation/Filtered Mass Density Function for the Calculation of Strongly Radiating Turbulent Flames

2009 ◽  
Vol 131 (5) ◽  
Author(s):  
Abhilash J. Chandy ◽  
David J. Glaze ◽  
Steven H. Frankel
Keyword(s):  
Density Function ◽  
Soot Formation ◽  
Mass Density ◽  
Combustion Products ◽  
Turbulent Flames ◽  
Finite Rate ◽  
Combustion Chemistry ◽  
Jet Flame ◽  
Large Eddy ◽  
Filtered Mass Density Function

Due to the complex nonlinear coupling of turbulent flow, finite-rate combustion chemistry and thermal radiation from combustion products and soot, modeling, and/or simulation of practical combustors, or even laboratory flames undergoing strong soot formation, remain elusive. Methods based on the determination of the probability density function of the joint thermochemical scalar variables offer a promising approach for handling turbulence-chemistry-radiation interactions in flames. Over the past decade, the development and application of the filtered mass density function (FMDF) approach in the context of large eddy simulations (LES) of turbulent flames have gained considerable ground. The work described here represents the first application of the LES/FMDF approach to flames involving soot formation and luminous radiation. The initial focus here is on the use of a flamelet soot model in an idealized strongly radiating turbulent jet flame, which serves to detail the formulation, highlight the importance of turbulence-radiation interactions, and pave the way for the inclusion of a soot transport and finite-rate kinetics model allowing for quantitative comparisons to laboratory scale sooting flames in the near future.

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