Dynamical behaviour of a premixed turbulent open V-flame

Author(s): Rhee, CW; Talbot, L; Sethian, JA | Abstract: The level-set approach of Osher a Sethian to tracking interfaces is successfully adapted to the simulation of a premixed turbulent open V-flame including the effects of exothermicity and baroclinicity. In accord with experimental observations this algorithm, along with a flame anchoring scheme, predicts flame cusping for a case in which a strong vortex pair interacts with the flame front. The computed velocity and scalar statistics obtained for the turbulent V-flame compare reasonably well with experimental results by Cheng a Shepherd, and demonstrate the importance of flame-generated vorticity in the determination of flame dynamics and product velocity characteristics. © 1995, Cambridge University Press. All rights reserved.

[1]  A. Townsend,et al.  Decay of isotropic turbulence in the initial period , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2]  W. Hayes The vorticity jump across a gasdynamic discontinuity , 1957, Journal of Fluid Mechanics.

[3]  H. Markstein Nonsteady flame propagation , 1964 .

[4]  N. Afzal A higher order theory for compressible turbulent boundary layers at moderately large Reynolds number , 1973, Journal of Fluid Mechanics.

[5]  A. Chorin Numerical study of slightly viscous flow , 1973, Journal of Fluid Mechanics.

[6]  P. Swarztrauber A direct Method for the Discrete Solution of Separable Elliptic Equations , 1974 .

[7]  S. Pope The probability approach to the modelling of turbulent reacting flows , 1976 .

[8]  K. Bray,et al.  A unified statistical model of the premixed turbulent flame , 1977 .

[9]  A. Leonard Vortex methods for flow simulation , 1980 .

[10]  A. K. Oppenheim,et al.  Numerical modelling of turbulent flow in a combustion tunnel , 1982, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[11]  L. Talbot,et al.  Density fluctuations in a flame in a Karman vortex sheet , 1984 .

[12]  L. Talbot,et al.  Laser tomographic study of a laminar flame in a Karman vortex street , 1984 .

[13]  R. Cheng,et al.  Conditional Sampling of Turbulence Intensities and Reynolds Stress in Premixed Turbulent Flames , 1984 .

[14]  James M. Hyman,et al.  Numerical methods for tracking interfaces , 1984 .

[15]  P. Clavin,et al.  Soret and Dilution Effects on Premixed Flames , 1984 .

[16]  J. B. Moss,et al.  Flamelet Crossing Frequencies and Mean Reaction Rates in Premixed Turbulent Combustion , 1984 .

[17]  P. Clavin Dynamic behavior of premixed flame fronts in laminar and turbulent flows , 1985 .

[18]  J. Sethian Curvature and the evolution of fronts , 1985 .

[19]  R. Cheng,et al.  Interpretation of Conditional Statistics in Open Oblique Premixed Turbulent Flames , 1986 .

[20]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[21]  W. Ashurst Vortex simulation of unsteady wrinkled laminar flames , 1987 .

[22]  L. Talbot,et al.  Flame induced vorticity: Effects of stretch , 1988 .

[23]  A. Kerstein,et al.  Field equation for interface propagation in an unsteady homogeneous flow field. , 1988, Physical review. A, General physics.

[24]  N. Peters Laminar flamelet concepts in turbulent combustion , 1988 .

[25]  L. Talbot,et al.  Some fluid dynamic considerations in the modeling of flames , 1988 .

[26]  J. Sethian,et al.  Validation study of vortex methods , 1988 .

[27]  L. Talbot,et al.  Reaction rates in premixed turbulent flames and their relevance to the turbulent burning speed , 1989 .

[28]  J. Sethian Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws , 1990 .

[29]  R. Cheng,et al.  The spatial scalar structure of premixed turbulent stagnation point flames , 1991 .

[30]  Thierry Poinsot,et al.  Quenching processes and premixed turbulent combustion diagrams , 1991, Journal of Fluid Mechanics.

[31]  I. Shepherd,et al.  Flame front geometry in premixed turbulent flames , 1991 .

[32]  Thermal buckling analysis of antisymmetric angle-ply laminates based on a higher-order displacement field , 1991 .

[33]  L. Evans,et al.  Motion of level sets by mean curvature. II , 1992 .

[34]  J. Driscoll,et al.  A laminar vortex interacting with a premixed flame: Measured formation of pockets of reactants , 1991 .

[35]  S. Osher,et al.  Computing interface motion in compressible gas dynamics , 1992 .

[36]  J. Sethian,et al.  Projection methods coupled to level set interface techniques , 1992 .

[37]  J. Sethian,et al.  Crystal growth and dendritic solidification , 1992 .

[38]  J. Driscoll,et al.  A numerical simulation of a vortex convected through a laminar premixed flame , 1992 .

[39]  James A. Sethian,et al.  Flow under Curvature: Singularity Formation, Minimal Surfaces, and Geodesics , 1993, Exp. Math..

[40]  D. Chopp Computing Minimal Surfaces via Level Set Curvature Flow , 1993 .

[41]  Thierry Poinsot,et al.  The evolution equation for the flame surface density in turbulent premixed combustion , 1994, Journal of Fluid Mechanics.