A low-dimensional stochastic closure model for combustion large-eddy simulation

References

• Ashurst , W. T. and Kerstein , A. R. 2005 . One-dimensional turbulence: Variable-density formulation and application to mixing layers . Phys. Fluids , 17 Art. No. 025107
   PubMed Web of Science ®Google Scholar
• Ashurst , W. T. , Kerstein , A. R. , Pickett , L. M. and Ghandhi , J. B. 2003 . Passive scalar mixing in a spatially developing shear layer: Comparison of one-dimensional turbulence simulations with experimental results . Phys. Fluids , 15 : 579 – 582 .
   Web of Science ®Google Scholar
• Calhoon , W. H. and Menon , S. 1996 . Subgrid modeling for reacting large eddy simulations 96 – 0516 . AIAA Paper
   Google Scholar
• Calhoon , W. H. and Menon , S. 1997 . Linear-eddy subgrid model for reacting large-eddy simulations: Heat release effects 97 – 0368 . AIAA Paper
   Google Scholar
• Cao , S. and Echekki , T. 2007 . Autoignition in non-homogeneous mixtures: Conditional statistics and implications for modeling . Combust. Flame , 151 : 120 – 141 .
   Web of Science ®Google Scholar
• Chakravarthy , V. K. and Menon , S. 2000 . Subgrid modeling of turbulent premixed flames in the flamelet regime . Flow Turbul. Combust. , 65 : 133 – 161 .
   Web of Science ®Google Scholar
• Chakravarthy , V. K. and Menon , S. 2001 . Linear eddy simulations of Reynolds number and Schmidt number effects on turbulent scalar mixing . Phys. Fluids , 13 : 488 – 499 .
   Web of Science ®Google Scholar
• Chen , S. and Doolen , G. D. 1998 . Lattice Boltzmann method for fluid flows . Ann. Rev. Fluid Mech. , 30 : 329 – 364 .
   Web of Science ®Google Scholar
• Colucci , P. J. , Jaberi , F. A. , Givi , P. and Pope , S. B. 1998 . Filtered density function for large eddy simulation of turbulent reacting flows . Phys. Fluids , 10 : 499 – 515 .
   Web of Science ®Google Scholar
• Dreeben , T. D. and Kerstein , A. R. 2000 . Simulation of vertical slot convection using‘one-dimensional turbulence’ . Int. J. Heat Mass Tran. , 43 : 3823 – 3834 .
   Web of Science ®Google Scholar
• Echekki , T. and Chen , J. H. 2003 . Direct numerical simulation of autoignition in non-homogeneous hydrogen-air mixtures . Combust. Flame , 134 : 169 – 191 .
   Web of Science ®Google Scholar
• Echekki , T. and Chen , J. H. 2003 . High-temperature combustion in autoigniting non-homogeneous hydrogen/ir mixtures . Proc. Combust. Inst. , 29 : 2061 – 206 .
   Web of Science ®Google Scholar
• Echekki , T. , Kerstein , A. R. , Dreebe , T. D. and Chen , J.-Y. 2001 . ‘One-dimensional turbulence’ simulations of turbulent jet diffusion flames: Model formulation and illustrative applications . Combust. Flame , 125 : 1083 – 1105 .
   Web of Science ®Google Scholar
• Eggenspiler , G. and Menon , S. 2005 . Combustion and emission modeling near lean blow-out in a gas turbine engine . Prog. Comput. Fluid Dyn. , 5 : 281 – 297 .
   Web of Science ®Google Scholar
• Frisch , U. , Hasslacher , B. and Pomeau , Y. 1986 . Lattice gas automata for the Navier– Stokes equation . Phys. Rev. Lett. , 56 : 1505 – 1508 .
   PubMed Web of Science ®Google Scholar
• Gao , F. and O'Brien , E. E. 1993 . A large-eddy simulation scheme for turbulent reacting flows . Phys. Fluids A , 5 : 1282 – 1284 .
   Web of Science ®Google Scholar
• Giquel , L. Y. M. and Givi , P. 2002 . Velocity filtered density function for large eddy simulation of turbulent flows . Phys. Fluids , 14 : 1196 – 1213 .
   Web of Science ®Google Scholar
• Hewson , J. C. and Kerstein , A. R. 2001 . Stochastic simulation of transport and chemical kinetics in turbulent CO/H 2/N 2flames . Combust. Theo. Model. , 5 : 669 – 697 .
   Web of Science ®Google Scholar
• Hewson , J. C. and Kerstein , A. R. 2001 . Local extinction and reignition in nonpremixed turbulent CO/H 2/N 2jet flames . Combust. Theo. Model. , 5 : 669 – 697 .
   Web of Science ®Google Scholar
• Hewson , J. C. , Kerstein , A. R. and Echekki , T. 2002 . One-dimensional stochastic simulation of advection–diffusion–reaction couplings in turbulent combustion in Turbulent Mixing and Combustion , Edited by: Pollard , A. and Candel , S. Dordrecht, , The Netherlands : Kluwer Academic Publishers .
   Google Scholar
• Hinze , J. O. 1975 . Turbulence, , 2nd ed. , New York : McGraw-Hill .
   Google Scholar
• Jaberi , F. A. , Collucci , P. J. , James , S. and Givi , P. 1999 . Filtered mass density function for large eddy simulation of turbulent reacting flows . J. Fluid Mech. , 401 : 85
   Web of Science ®Google Scholar
• Jaberi , F. A. , Miller , R. S. , Madnia , C. K. and Givi , P . 1996 . Non-Gaussian scalar statistics in homogeneous turbulence . J. Fluid Mech. , 313 : 241 – 282 .
   Web of Science ®Google Scholar
• James , S. and Jaberi , F. A. 2000 . Large scale simulations of two-dimensional non-premixed methane jet flames . Combust. Flame , 123 : 465 – 487 .
   Web of Science ®Google Scholar
• Kerstein , A. R. 1989 . Linear-Eddy modeling of turbulent transport 2. Applications to shear-layer mixing . Combust. Flame , 75 : 397 – 413 .
   Web of Science ®Google Scholar
• Kerstein , A. R. 1990 . Linear-eddy modeling of turbulent transport 3. Mixing and differential molecular-diffusion in round jets . J. Fluid Mech. , 216 : 411 – 435 .
   Web of Science ®Google Scholar
• Kerstein , A. R. 1991 . Linear-eddy modeling of turbulent transport 6. Microstructure of diffusive scalar mixing fields . J. Fluid Mech. , 231 : 361 – 394 .
   Web of Science ®Google Scholar
• Kerstein , A. R. 1992 . Linear-eddy modeling of turbulent transport 4. Structure of diffusion flames . Combust. Sci. Tech. , 81 : 75 – 96 .
   Web of Science ®Google Scholar
• Kerstein , A. R. 1999 . One-dimensional turbulence: model formulation and application to homogeneous turbulence, shear flows, and buoyant stratified flows . J. Fluid Mech. , 392 : 277 – 334 .
   Web of Science ®Google Scholar
• Kerstein , A. R. 1999 . One-dimensional turbulence, Part 2, Staircases in double-diffusive convection . Dyn. Atmos. Oceans , 30 : 25 – 46 .
   Web of Science ®Google Scholar
• Kerstein , A. R. and Dreeben , T. D. 2000 . Prediction of turbulent free shear flow statistics using a simple stochastic model . Phys. Fluids , 12 : 418 – 424 .
   Web of Science ®Google Scholar
• Kerstein , A. R. and Wunsch , S. 2006 . Simulation of a stably stratified atmospheric boundary layer using one-dimensional turbulence . Bound.-Layer Meteo. , 118 : 325 – 356 .
   Web of Science ®Google Scholar
• Kerstein , A. R. , Ashurst , W. T. , Wunsch , S. and Nilsen , V. J. 2001 . One-dimensional turbulence: vector formulation and application to free shear flows . J. Fluid Mech. , 447 : 85 – 109 .
   Web of Science ®Google Scholar
• Klimenko , A. Y. and Bilger , R. W. 1999 . Conditional moment closure for turbulent combustion . Prog. Energy, Combust. Sci. , 25 : 595 – 687 .
   Web of Science ®Google Scholar
• Lakshmisha , K. N. , Rogg , B. and Bray , K. N. C. 1993 . On the regimes of auto-ignition in a turbulent medium . Appl. Sci. Res. , 51 : 519 – 524 .
   Google Scholar
• Mason , S. D. and Rutland , C. J. 2000 . Turbulent transport in spatially developing reacting shear layers . Proc. Combust. Inst. , 28 : 505 – 513 .
   Web of Science ®Google Scholar
• Mason , S. D. 2000 . Turbulent transport in spatially developing reacting shear layers , Ph.D. thesis Department of Mechanical Engineering, University of Wisconsin .
   Google Scholar
• Mastorakos , E. , Baritaud , T. A. and Poinsot , T. J. 1997 . Numerical simulations of autoignition in turbulent mixing flows . Combust. Flame , 109 : 198 – 223 .
   Web of Science ®Google Scholar
• McDermott , R. J. , Kerstein , A. R. , Schmidt , R. C. and Smith , P. J. 2005 . The ensemble mean limit of the one-dimensional turbulence model and application to residual stress closure in finite volume large-eddy simulation . J. Turbul. , 6 : 1 – 33 .
   Web of Science ®Google Scholar
• McMurtry , P. A. , Menon , S. and Kerstein , A. R. 1992 . A linear eddy sub-grid model for turbulent reacting flows: applications to hydrogen air combustion . Proc. Combust. Inst. , 24 : 271 – 278 .
   Google Scholar
• Menon , S. , McMurtry , P. A. and Kerstein , A. R. 1993 . “ A linear eddy mixing model for large eddy simulation of turbulent combustion ” . In Large Eddy Simulation of Complex Engineering and Geophysical Flows , Edited by: Galperi , B. and Orszag , S. A. 287 – 314 . New York : Cambridge University Press .
   Google Scholar
• Pantano , C. and Sarkar , S. 2001 . A subgrid model for nonlinear functions of a scalar . Phys. Fluids , 13 : 3803 – 3819 .
   Web of Science ®Google Scholar
• Peters , N. 1986 . Laminar flamelet concepts in turbulent combustion . Proc. Combust. Inst. , 21 : 1829 – 1836 .
   Google Scholar
• Pope , S. B. 1985 . Pdf methods for turbulent reactive flows . Prog. Energy Combust. Sci. , 11 : 119 – 192 .
   Web of Science ®Google Scholar
• Pope , S. B. 1990 . Computations of turbulent combustion: Progress and challenges . Proc. Combust. Inst. , 23 : 591 – 612 .
   Google Scholar
• Pope , S. B. 1997 . Computationally efficient implementation of combustion chemistry using in situ adaptive tabulation . Combust. Theo. Model. , 1 : 44 – 63 .
   Google Scholar
• Sagaut , P. 1998 . Large eddy simulations for incompressible flows, , 2nd ed. , Berlin Heidelberg : Springer .
   Google Scholar
• Sankaran , V. and Menon , S. 2000 . Structure of premixed turbulent flames in the thin-reaction-zones regime . Proc. Combust. Inst. , 28 : 203 – 209 .
   Web of Science ®Google Scholar
• Sankaran , V. and Menon , S. 2005 . Subgrid combustion modeling of 3D premixed flames in the thin-reaction-zone regime . Proc. Combust. Inst. , 3 : 575 – 582 .
   Web of Science ®Google Scholar
• Schmidt , R. C. , Kerstein , A. R. , Wunsch , S. and Nilsen , V. J. 2003 . Near-wall LES closure based on one-dimensional turbulence modeling . J. Comput., Phys. , 186 : 317 – 355 .
   Web of Science ®Google Scholar
• Sheikhi , M. R. H. , Drozda , T. G. , Givi , P. and Pope , S. B. 2003 . Velocity-scalar filtered density function for large eddy simulation of turbulent flows . Phys. Fluids , 15 : 2321 – 2337 .
   Web of Science ®Google Scholar
• Sheikhi , M. R. H. , Drozda , T. G. , Givi , P. , Jaberi , F. A. and Pope , S. B. 2005 . Large eddy simulation of a turbulent nonpremixed piloted methane jet flame (Sandia flame D) . Proc. Combust. Inst. , 30 : 549 – 556 .
   Web of Science ®Google Scholar
• Smith , T. M. and Menon , S. 1997 . Large-eddy simulations of turbulent reacting stagnation point flows 97 – 0372 . AIAA Paper
   Google Scholar
• Smith , T. M. and Menon , S. 1998 . Subgrid combustion modeling of premixed turbulent reacting flows 98 – 0242 . AIAA Paper
   Google Scholar
• Sone , K. , Patel , N. and Menon , S. 2001 . Large-eddy simulation of fuel-air mixing in an internal combustion engine 2001 – 0635 . AIAA Paper
   Google Scholar
• Wunsch , S. and Kerstein , A. R. 2001 . A model for layer formation in stably stratified turbulence . Phys. Fluids , 13 : 702 – 712 .
   Web of Science ®Google Scholar
• Wunsch , S. and Kerstein , A. R. 2005 . A stochastic model for high-Raleigh-number convection . J. Fluid Mech. , 528 : 173 – 205 .
   Web of Science ®Google Scholar
• Zhou , X. Y. and Pereira , J. C. F. 2000 . Large eddy simulation (2D) of a reacting plane mixing layers using filtered density function closure . Flow Turbul. Combust. , 64 : 279 – 300 .
   Web of Science ®Google Scholar