Advances in FDF Modeling and Simulation

An overview is presented of recent developments in filtered density function (FDF) modeling and simulation in turbulent combustion including high speed propulsion systems. These are primarily the development of a new Lagrangian Monte Carlo solver for the FDF, and the implementation of this solver on Eulerian domains portrayed by unstructured grids. With these developments, it will be much easier to conduct large eddy simulation (LES) of turbulent reactive flows for complex geometrical configurations.

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

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

[3]  Stefan Heinz,et al.  On Fokker–Planck Equations for Turbulent Reacting Flows. Part 1. Probability Density Function for Reynolds-Averaged Navier–Stokes Equations , 2003 .

[4]  Stephen B. Pope,et al.  Frequency-velocity-scalar filtered mass density function for large eddy simulation of turbulent flows , 2009 .

[5]  G. Amdhal,et al.  Validity of the single processor approach to achieving large scale computing capabilities , 1967, AFIPS '67 (Spring).

[6]  J. Elgin The Fokker-Planck Equation: Methods of Solution and Applications , 1984 .

[7]  Rodney O. Fox,et al.  Computational Models for Turbulent Reacting Flows: Contents , 2003 .

[8]  M. Grigoriu Applied Non-Gaussian Processes , 1995 .

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

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

[11]  Chenning Tong,et al.  Conditionally filtered scalar dissipation, scalar diffusion, and velocity in a turbulent jet , 2002 .

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

[13]  Olivier Soulard,et al.  Rapidly decorrelating velocity-field model as a tool for solving one-point Fokker-Planck equations for probability density functions of turbulent reactive scalars. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Stephen B. Pope,et al.  On the relationship between stochastic Lagrangian models of turbulence and second‐moment closures , 1994 .

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

[16]  H. Risken The Fokker-Planck equation : methods of solution and applications , 1985 .

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

[18]  Graham V. Candler,et al.  Development of a hybrid unstructured implicit solver for the simulation of reacting flows over complex geometries , 2004 .

[19]  Timothy J. Barth,et al.  The design and application of upwind schemes on unstructured meshes , 1989 .

[20]  Stephen B. Pope,et al.  Probability density function and Reynolds‐stress modeling of near‐wall turbulent flows , 1997 .

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

[22]  Bassam B. Dally,et al.  Instantaneous and Mean Compositional Structure of Bluff-Body Stabilized Nonpremixed Flames , 1998 .

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

[24]  P. Sagaut Large Eddy Simulation for Incompressible Flows , 2001 .

[25]  C. W. Gardiner,et al.  Handbook of stochastic methods - for physics, chemistry and the natural sciences, Second Edition , 1986, Springer series in synergetics.

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

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

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

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

[30]  N. Ansari,et al.  FDF Simulation of Swirling Reacting Flows on Unstructured Meshes , 2011 .

[31]  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 .

[32]  Norbert Peters,et al.  The detailed flame structure of highly stretched turbulent premixed methane-air flames , 1996 .

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

[34]  S. Pope,et al.  Velocity filtered density function for large eddy simulation of turbulent flows , 2000 .

[35]  Peyman Givi,et al.  Developments in Formulation and Application of the Filtered Density Function , 2006 .

[36]  R. Barlow,et al.  Effects of turbulence on species mass fractions in methane/air jet flames , 1998 .

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

[38]  B. Geurts,et al.  Realizability conditions for the turbulent stress tensor in large-eddy simulation , 1994, Journal of Fluid Mechanics.

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

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

[41]  Peyman Givi,et al.  Large Eddy Simulation of Heat and Mass Transport in Turbulent Flows , 2009 .

[42]  S. Pope Lagrangian PDF Methods for Turbulent Flows , 1994 .

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

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

[45]  S. L. Yilmaz,et al.  RANS/PDF and LES/FDF for prediction of turbulent premixed flames , 2008 .

[46]  Stephen B. Pope,et al.  A generalized Langevin model for turbulent flows , 1986 .

[47]  Patrick Henry Pisciuneri,et al.  LARGE EDDY SIMULATION OF A TURBULENT NONPREMIXED JET FLAME USING A FINITE-RATE CHEMISTRY MODEL , 2008 .

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

[49]  Tomasz G. Drozda,et al.  Implementation of LES/SFMDF for Prediction of Non-premixed Turbulent Flames , 2006 .

[50]  E. Renshaw,et al.  STOCHASTIC DIFFERENTIAL EQUATIONS , 1974 .

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

[52]  L. C. Barbosa,et al.  Raman, hyperraman, hyper-Rayleigh, two-photon excited luminescence and morphology-dependent-modes in a single optical tweezers system , 2005 .

[53]  B. Geurts Elements of direct and large-eddy simulation , 2003 .

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

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

[56]  Mohammad Reza H. Sheikhi,et al.  Filtered density function simulator on unstructured meshes , 2011, J. Comput. Phys..

[57]  Bassam B. Dally,et al.  Two-photon laser-induced fluorescence measurement of CO in turbulent non-premixed bluff body flames , 2003 .

[58]  Server L. Yilmaz,et al.  An Irregularly Portioned Lagrangian Monte Carlo Method for Turbulent Flow Simulation , 2011, J. Sci. Comput..

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

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

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

[62]  Stephen B. Pope,et al.  Velocity-scalar filtered mass density function for large eddy simulation of turbulent reacting flows , 2007 .

[63]  Mohammad-Reza Haji-Sheikhi,et al.  Joint Velocity Scalar Filtered Density Function for Large Eddy Simulation of Turbulent Reacting Flows , 2006 .

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

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

[66]  Mehdi B. Nik,et al.  Scalar Filtered Density Function for Large Eddy Simulation of a Bunsen Burner , 2008 .

[67]  Stephen B. Pope,et al.  Simulation of Sandia Flame D Using Velocity-Scalar Filtered Density Function , 2010 .

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

[69]  Mehdi B. Nik,et al.  Grid Resolution Effects on VSFMDF/LES , 2010 .

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

[71]  Robert W. Bilger,et al.  Future progress in turbulent combustion research , 2000 .