DNS of homogenous shear turbulence revisited with the lattice Boltzmann method

References

• Benzi , R. , Succi , S. and Vergassola , M. 1992 . The lattice Boltzmann equation theory and applications . Physics Reports , 222 : 45 – 197 . [CSA]
   Web of Science ®Google Scholar
• Chen , S. and Doolen , G. D. 1998 . Lattice Boltzmann method for fluid flows. A , 30 : 329 – 364 . [CSA]
   Google Scholar
• Luo , L. -S. The lattice-gas and lattice Boltzmann methods: past, present, and future. Proceedings of the International Conference on Applied Computational Fluid Dynamics . October 17–20 2000 , Beijing, China. Edited by: Wu , J. H. and Zhu , Z. -J. pp. pp. 52 – 83 .
   Google Scholar
• Succi , S. 2001 . The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , New York : Oxford University Press .
   Google Scholar
• McNamara , G. and Zanetti , G. 1988 . Use of the Boltzmann equation to simulate lattice-gas automata . Physics Review Letters , 61 : 2332 – 2335 . [CROSSREF] [CSA]
   PubMed Web of Science ®Google Scholar
• Higuera , F. J. and Jimenez , J. 1989 . Boltzmann approach to lattice gas simulations . Europhysics Letters , 9 : 663 – 668 . [CSA]
   Google Scholar
• Koelman , J.M.V.A. 1991 . A simple lattice Boltzmann scheme for Navier–Stokes fluid flow . Europhysics Letters , 15 : 603 – 607 . [CSA]
   Google Scholar
• Qian , Y. H. , d'Humiéres , D. and Lallemand , P. 1992 . Lattice BGK models for Navier–Stokes equation . Europhysics Letters , 17 : 479 – 484 . [CSA]
   Google Scholar
• Chen , H. , Chen , S. and Matthaeus , W. H. 1992 . Recovery of the Navier–Stokes equations using a lattice-gas Boltzmann method . Physics Review A , 45 : R5339 – R5342 . [CROSSREF] [CSA]
   PubMed Web of Science ®Google Scholar
• d'Humiéres , D. 1992 . “ Generalized lattice Boltzmann equations. In Rarefied Gas Dynamics: Theory and Simulations ” . In Progress in Astronautics and Aeronautics Edited by: Shizgal , B. D. and Weaver , D. P. Vol. 159 , 450 – 458 .
   Google Scholar
• He , X. and Luo , Li-shi . 1997 . Theory of the lattice Boltzmann equation: from Boltzmann equation to lattice Boltzmann equation . Physics Review E , 56 : 6811 – 6817 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Strumolo , G. and Viswanathan , B. 1997 . New directions in computational aerodynamics . Physics World , 10 : 45 – 49 . [CSA]
   Web of Science ®Google Scholar
• He , X. , Zhang , R. , Chen , S. and Doolen , G. 1999 . On the three-dimensional Rayleigh–Taylor instability . Physics of Fluids , 11 : 1143 – 1152 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Martys , N. S. and Chen , H. 1996 . Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method . Physics Review E , 53 : 743 – 750 . [CROSSREF] [CSA]
   PubMed Web of Science ®Google Scholar
• Ladd , A. J.C. 1994 . Numerical simulation of particular suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. . Journal of Fluid Mechanics , 271 : 285 – 309 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Qi , D. 1999 . Lattice Boltzmann simulation of particles in non-zero-Reynolds-number flows . Journal of Fluid Mechanics , 385 : 41 – 62 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Ding , E. J. and Aidun , C. K. 2000 . The dynamics and scaling law for particles suspended in shear flow with inertia . Journal of Fluid Mechanics , 423 : 317 – 344 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Chen , S. , Dawson , S. P. , Doolen , G. D. , Janecky , D. R. and Lawniczak , A. 1995 . Lattice methods and their applications to reacting systems . Computers and Chemical Engineering , 19 : 617 – 646 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Filippova , O. and Henel , D. 2000 . A novel lattice BGK approach for low mach number combustion . Journal of Computational Physics , 158 : 139 – 160 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Chen , S. , Chen , H. , Martinez , D. and Matthaeus , W. H. 1991 . Lattice Boltzmann model for simulation of magnetohydrodynamics . Physics Review Letters , 67 : 3776 – 3779 . [CROSSREF] [CSA]
   PubMed Web of Science ®Google Scholar
• Yu , H. , Girimaji , S. S. and Luo , Li-Shi . 2005 . DNS and LES of decaying isotropic turbulence with and without frame rotation . Journal of Computational Physics , accepted for publication.[CSA]
   Web of Science ®Google Scholar
• Rose , W. G. 1996 . Results of an attempt to generate a homogeneous turbulent shear flow . Journal of Fluid Mechanics , 25 : 97 – 120 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Champagne , F. H. , Harris , V. G. and Corrsin , S. 1970 . Experiments on nearly homogeneous turbulent shear flow . Journal of Fluid Mechanics , 41 : 81 – 139 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Tavoulris , S. and Corrsin , S. 1981 . Experiments in nearly homogenous turbulent shear flow with a uniform mean temperature gradient. Part 1. . Journal of Fluid Mechanics , 104 : 331 – 347 . [CSA]
   Web of Science ®Google Scholar
• Tavoularis , S. and Corrsin , S. 1981 . Experiments in nearly homogeneous turbulent shear flow with a uniform mean temperature gradient. Part 2, the fine structure . Journal of Fluid Mechanics , 104 : 349 – 367 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• De Souza , F. A. , Nguyen , V. D. and Tavoularis , S. 1995 . The structure of highly shear turbulence . Journal of Fluid Mechanics , 303 : 155 – 167 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Tavoularis , S. and Karnik , U. 1989 . Further experiments on evolution of turbulent stress and scales in uniformly sheared turbulence . Journal of Fluid Mechanics , 204 : 457 – 478 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Rogers , M. M. and Moin , P. 1987 . The structure of the vorticity field in homogeneous turbulent flows . Journal of Fluid Mechanics , 176 : 33 – 66 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Lee , M. J. , Kim , J. and Moin , P. 1990 . Structure of turbulence at high shear rate . Journal of Fluid Mechanics , 216 : 561 – 583 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Kida , S. and Tanaka , M. 1994 . Dynamics of vortical structures in homogeneous shear flow . Journal of Fluid Mechanics , 274 : 43 – 68 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Jacobitz , F. G. , Sarkar , S. and Van Atta , C. W. 1997 . Direct numerical simulations of turbulence evolution in a uniformly sheared and stably stratified flow . Journal of Fluid Mechanics , 342 : 231 – 261 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Shih , L. H. , Kose , J. R. , Ferziger , J. H. and Rehmann , C. R. 2000 . Scaling and parameterization of stratified homogeneous turbulent shear flow . Journal of Fluid Mechanics , 412 : 1 – 20 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Rogers , M. M. 1986 . The structure and modeling of the hydrodynamic and passive, scalar fields in homogeneous turbulent shear flow. , PhD thesis Stanford University .
   Google Scholar
• Bhatnagar , P. L. , Gross , E. P. and Krook , M. 1954 . A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component system. . Physics Review A , 94 : 511 – 525 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Rogallo , R. S. 1981 . Numerical experiments in homogeneous turbulence . NASA Technical Memorandum , TM-81315.[CSA]
   Google Scholar
• Mei , R. , Shyy , W. , Yu , D. and Luo , Li-Shi. 2000 . Lattice Boltzmann method for 3-D flows with curved boundary . Journal of Computational Physics , 161 : 123 – 132 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Yu , D. , Mei , R. , Luo , Li-Shi and Shyy , W. 2003 . Viscous flow computations with the method of lattice Boltzmann equation . Progress in Aerospace Science , 39 : 329 – 367 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Luo , Li-Shi , Wang , L. P. and Qi , D. 2002 . “ Applications of the lattice Boltzmann method to complex and turbulent flows. In: High Performance Scientific and Engineering Computing, Springer. ” . In Lecture Notes in Computer Science and Engineering Vol. 21 , pp 123 – 132 .
   Google Scholar