FDF Simulation of Swirling Reacting Flows on Unstructured Meshes

Large eddy simulation (LES) is conducted of the Sydney swirl burner (SM1 flame). The subgrid scale (SGS) closure is based on the scalar filtered mass density function (SFMDF). A flamelet model is used to relate the instantaneous composition to the mixture fraction. The modeled SFMDF transport equation is solved by a new hybrid finite-volume / Monte Carlo scheme, on a domain portrayed by unstructured grids. The mesh dependence of LES results is studied on a series of grids with progressively increased resolution, reaching over 2 million computational elements. The overall agreement between LES/SFMDF predictions and measured data is very good. The agreement improves as the resolution increases.

[1]  M. Darwish,et al.  A NEW HIGH-RESOLUTION SCHEME BASED ON THE NORMALIZED VARIABLE FORMULATION , 1993 .

[2]  T. Shih,et al.  A new k-ϵ eddy viscosity model for high reynolds number turbulent flows , 1995 .

[3]  Stefan Heinz,et al.  Unified turbulence models for LES and RANS, FDF and PDF simulations , 2007 .

[4]  Chong M. Cha,et al.  A subgrid-scale mixing model for large-eddy simulations of turbulent reacting flows using the filtered density function , 2003 .

[5]  Jos Derksen,et al.  Turbulent mixing in a tubular reactor: Assessment of an FDF/LES approach , 2005 .

[6]  Stephen B. Pope,et al.  Particle method for turbulent flows: integration of stochastic model equations , 1995 .

[7]  Stephen B. Pope,et al.  Experimental study of velocity filtered joint density function for large eddy simulation , 2004 .

[8]  Chenning Tong,et al.  Experimental investigation of scalar-scalar-dissipation filtered joint density function and its transport equation , 2002 .

[9]  Chenning Tong,et al.  Measurements of conserved scalar filtered density function in a turbulent jet , 2001 .

[10]  Samuel Karlin,et al.  A First Course on Stochastic Processes , 1968 .

[11]  Salvador Navarro-Martinez,et al.  Large eddy simulation of autoignition with a subgrid probability density function method , 2007 .

[12]  R. Borghi Turbulent combustion modelling , 1988 .

[13]  A. Masri,et al.  PROBABILITY DENSITY FUNCTION COMPUTATIONS OF A STRONGLY SWIRLING NONPREMIXED FLAME STABILIZED ON A NEW BURNER , 2000 .

[14]  Stefan Heinz,et al.  On Fokker–Planck Equations for Turbulent Reacting Flows. Part 2. Filter Density Function for Large Eddy Simulation , 2003 .

[15]  Thomas M. Eidson,et al.  Numerical simulation of the turbulent Rayleigh–Bénard problem using subgrid modelling , 1985, Journal of Fluid Mechanics.

[16]  Stephen B. Pope,et al.  Large eddy simulation of a turbulent nonpremixed piloted methane jet flame (Sandia Flame D) , 2004 .

[17]  Daniel C. Haworth,et al.  A PDF Method for Turbulent Mixing and Combustion on Three--Dimensional Unstructured Deforming Meshes , 1999 .

[18]  Paul E. DesJardin,et al.  A filtered mass density function approach for modeling separated two-phase flows for LES I: Mathematical formulation , 2006 .

[19]  Salah S. Ibrahim,et al.  LES of Recirculation and Vortex Breakdown in Swirling Flames , 2008 .

[20]  W. P. Jones,et al.  Large eddy simulation of hydrogen auto-ignition with a probability density function method , 2007 .

[21]  Jing Chen,et al.  A Eulerian PDF scheme for LES of nonpremixed turbulent combustion with second-order accurate mixture fraction , 2007 .

[22]  S. James,et al.  Large eddy simulations of turbulent flames using the filtered density function model , 2007 .

[23]  S. Karlin,et al.  A second course in stochastic processes , 1981 .

[24]  Heinz Pitsch,et al.  Large-eddy simulation of a bluff-body-stabilized non-premixed flame using a recursive filter-refinement procedure , 2005 .

[25]  Stephen B. Pope,et al.  Filtered mass density function for large-eddy simulation of turbulent reacting flows , 1999, Journal of Fluid Mechanics.

[26]  E. O'brien,et al.  The probability density function (pdf) approach to reacting turbulent flows , 1980 .

[27]  P. Moin,et al.  The basic equations for the large eddy simulation of turbulent flows in complex geometry , 1995 .

[28]  Joseph C. Oefelein,et al.  Scalar filtered mass density functions in nonpremixed turbulent jet flames , 2007 .

[29]  Luc Vervisch,et al.  Subgrid-Scale Turbulent Micromixing: Dynamic Approach , 1998 .

[30]  Heinz Pitsch,et al.  A consistent LES/filtered-density function formulation for the simulation of turbulent flames with detailed chemistry , 2007 .

[31]  D. C. Haworth,et al.  A probability density function method for turbulent mixing and combustion on three-dimensional unstructured deforming meshes , 2000 .

[32]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[33]  S. Pope,et al.  Filtered density function for large eddy simulation of turbulent reacting flows , 1998 .

[34]  Asghar Afshari,et al.  Large-Eddy Simulations of Turbulent Flows in an Axisymmetric Dump Combustor , 2008 .

[35]  P. Moin,et al.  A dynamic subgrid‐scale model for compressible turbulence and scalar transport , 1991 .

[36]  Chenning Tong,et al.  Experimental study of velocity-scalar filtered joint density function for LES of turbulent combustion , 2005 .

[37]  Heinz Pitsch,et al.  Hybrid large-eddy simulation/Lagrangian filtered-density-function approach for simulating turbulent combustion , 2005 .

[38]  W. Malalasekera,et al.  Large Eddy Simulations of Swirling Non-premixed Flames With Flamelet Models: A Comparison of Numerical Methods , 2008 .

[39]  Jose C. F. Pereira,et al.  Large Eddy Simulation (2D) of a Reacting Plane Mixing Layer Using Filtered Density Function Closure , 2000 .

[40]  W. P. Jones,et al.  A probability density function Eulerian Monte Carlo field method for large eddy simulations: Application to a turbulent piloted methane/air diffusion flame (Sandia D) , 2006 .

[41]  T. Shih,et al.  A New K-epsilon Eddy Viscosity Model for High Reynolds Number Turbulent Flows: Model Development and Validation , 1994 .

[42]  Peyman Givi,et al.  Filtered Density Function for Subgrid Scale Modeling of Turbulent Combustion , 2006 .

[43]  Denis Veynante,et al.  Turbulent combustion modeling , 2002, VKI Lecture Series.

[44]  Stephen B. Pope,et al.  A particle formulation for treating differential diffusion in filtered density function methods , 2006, J. Comput. Phys..