References
- Bilger , R. W. ( 1980 ). Turbulent flows with non-premixed reactants . Thrbulent reacting ftows (ed. P. A. Libby and F. A. Williams ), Springer-Verlag .
- Chen , H. , Chen , S. , and Kraichnan , R. H. ( 1989 ). Probability distribution of a stochastically advected scalar field . Physical Review Letters , 63 ( 24 ), 2657 – 2660 .
- Eswaran , V. , and Pope , S. B. ( 1988 ). Direct Numerical Simulations of the turbulent mixing of a passive scalar . Physics of Fluid , 31 ( 3 ), 506 – 520 .
- Gao , F. ( 1991 ). An analytical solution for the scalar probability density function in homogeneous turbulence . Phys. Fluids A , 3 ( 4 ), 511 – 513 .
- Girimaji , S. S. , and Pope , S. B. ( 1990 ). Material element deformation in isotropic turbulence . J. Fluid Mech. 220 , 427 – 458 .
- Girimaji , S. S. ( l99la ). Assumed (β-pdf model for turbulent mixing: validation and extension to multiple scalar mixing . Combust. Sci. and Tech , 78 , 4 – 6 , 177 – 196 .
- Girimaji , S. S. ( 199lb ). A simple recipe for modeling reaction-rates in flows with turbulent combustion . AIAA-91-1792. AIAA 22nd Fluid Dynamics, Plasma Dynamics and Lasers Conference , June 24 – 26 , 1991 , Honolulu , Hawaii .
- Girimaji , S. S. ( 1992a ). A mapping closure for turbulent scalar mixing using a time-evolving reference field . Phys. Fluids. A. 4 , 12 , 2875 – 2886 .
- Girimaji , S. S. ( 1992b ). On the modeling of scalar diffusion in isotropic turbulence . Phys. Fluids. A. 4 , 11 , 2529 – 2537 .
- Girimaji , S. S. ( 1992c ). Towards undemanding turbulent scalar mixing . NASA Contractor Report 4446 .
- Givi , P. ( 1989 ). Model-free simulations of turbulent reactive flows . Progress in Energy and Combustion Science , 15 ( 1 ), 1 – 107 .
- Givi , P. , Madnia , C. K. , Steinberger , C. J. , and Thai , A. ( 1991 ). Large eddy simulations and direct numerical simulations of high speed turbulent reacting flows . State University of New York report, Department of Mechanical Engineering , SUNY , Buffalo , NY 14280 .
- Hill , R. J. , and Bowhill , S. A. ( 1978 ). Lognormality of gradients of advected scalars . Physics of Fluids , 21 ( 6 ), 883 – 886 .
- Launder , B. E. , and Spalding , D. B. ( 1970 ). Lectures in mathematical models of turbulence . Academic Press .
- Monin , A. S. , and Yaglom , A. M. ( 1981 ). Statistical fluid mechanics , Vol. 2 (ed. J. L. Lumley ), MIT Press .
- O'Brien , E. E. , and Jiang , T-L ( 1991 ). The conditional dissipation rate of an initially binary scalar . Physics of Fluids , 3 , 3121 – 3123 .
- Pope , S. B. ( 1985 ). Pdf methods for turbulent reactive flows . Progress in Energy and Combustion Science , 11 , 119 – 192 .
- Pope , S. B. ( 1991 ). Mapping closures for turbulent mixing and reaction . Theoretical and Computational Fluid Dynamics , 2 , 255 – 270 .