PDF modeling of a bluff-body stabilized turbulent flame

The velocity-turbulent frequency-compositions PDF method combined with the consistent hybrid finite volume (FV)/particle solution algorithm is applied to a bluff-body stabilized turbulent flame. The statistical stationarity is shown and the performance of the PDF method is assessed by comparing the mean fields with the available experimental data. The effects of the model constants C1 in the turbulence frequency model and C in the mixing model on the numerical solutions are examined and it is found that all the mean fields are very sensitive to the changes in C1 while only the mixture fraction variance seems to be very sensitive to the changes in C but not the other mean fields. The spatial and bias errors are also examined and it is shown that the hybrid method is second order accurate in space and the bias error is vanishingly small in all the mean fields. The grid size and the number of particles per cell are determined for a 5% error tolerance. The chemistry is described by the simplest possible flamelet/PDF model. Hence the main focus of the paper is on the accurate calculations of the mean flow, turbulence and mixing, which lays the foundation for future work in which the chemistry is described in greater detail. © 2003 The Combustion Institute. All rights reserved.

[1]  N. Peters.  Laminar diffusion flamelet models in non-premixed turbulent combustion , 1984 .

[2]  F. Williams,et al.  Turbulent Reacting Flows , 1981 .

[3]  David A. Caughey,et al.  Diagonal implicit multigrid algorithm for the Euler equations , 1987 .

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

[5]  Liu Tao,et al.  Application of the elliptic conditional moment closure model to a two-dimensional nonpremixed methanol bluff-body flame , 2000 .

[6]  S. Pope,et al.  A Consistent Hybrid Finite-Volume / Particle Method for the PDF Equations of Turbulent Reactive Flows , 2001 .

[7]  S. Pope,et al.  A Hybrid Algorithm for the Joint PDF Equation of Turbulent Reactive Flows , 2001 .

[8]  Stephen B. Pope,et al.  Advances in PDF modeling for inhomogeneous turbulent flows , 1998 .

[9]  Robert J. Kee,et al.  On reduced mechanisms for methaneair combustion in nonpremixed flames , 1990 .

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

[11]  Stephen B. Pope,et al.  Local Time-Stepping Algorithm for Solving Probability Density Function Turbulence Model Equations , 2002 .

[12]  D. Brüggemann,et al.  Comparison of Eulerian and Lagrangian Monte Carlo PDF methods for turbulent diffusion flames , 2001 .

[13]  Jan Vierendeels,et al.  Application of a New Cubic Turbulence Model to Piloted and Bluff-Body Diffusion Flames , 2001 .

[14]  R. Barlow,et al.  The structure of turbulent nonpremixed flames revealed by Raman-Rayleigh-LIF measurements , 1996 .

[15]  Stephen B. Pope,et al.  Calculations of Swirl Combustors Using Joint Velocity-Scalar Probability Density Function Method , 1997 .

[16]  P. Koutmos,et al.  Identification of local extinction topology in axisymmetric bluff-body diffusion flames with a reactedness-mixture fraction presumed probability density function model , 2001 .

[17]  Stephen B. Pope,et al.  The hybrid method for the PDF equations of turbulent reactive flows: consistency conditions and correction algorithms , 2001 .

[18]  F. Dryer,et al.  Twenty-Sixth Symposium (International) on Combustion, Volume 2. , 1997 .

[19]  S. Pope.  PDF methods for turbulent reactive flows , 1985 .