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Original Articles

On the realizability of second-order models for a passive scalar in homogeneous turbulence

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Article: N21 | Published online: 30 Oct 2009

References

  • Launder , B. E. 1989 . The prediction of force field effects on turbulent shear flows via second-moment closure . Advances in Turbulence , 2 : 338 – 358 .
  • Shabbir , A. and Taulbee , D. B. 1990 . Evaluation of turbulence models for predicting buoyant flows . Journal of Heat Transfer , 112 : 945 – 951 . [CSA]
  • Hanjalic , K. 2002 . One-point closure models for buoyancy-driven turbulent flows . Annual Review of Fluid Mechanics , 34 : 321 – 348 . [CSA] [CROSSREF]
  • Malin , M. R. and Younis , B. A. 1990 . Calculation of turbulent buoyant plumes with a Reynolds stress and heat flux transport closure . International Journal of Heat Mass Transfer , 33 : 2247 – 2264 . [CSA] [CROSSREF]
  • Zhu , G. , Lai , M.-C. and Shih , T.-S. 1992 . “ Second-order closure modelling of turbulent buoyant wall plumes ” . In HTD, Modern developments in numerical simulation of flow and heat transfer , Vol. 194 , pp. 37 – 48 . New York : American Society of Mechanical Engineers .
  • Craft , T. J. , Ince , N. Z. and Launder , B. E. 1996 . Recent developments in second-moment closure for buoyancy-affected flows . Dynamics of Atmospheres and Oceans , 23 : 99 – 114 . [CSA] [CROSSREF]
  • Shih , T. H. and Lumley , J. L. 1985 . Modelling of pressure correlation terms in Reynolds stress and scalar flux equations , Ithaca, NY, , USA : Cornell University . Report FDA-85-3
  • Craft , T. J. and Launder , B. E. 1989 . A new model for the pressure/scalar-gradient correlation and its application to homogeneous and inhomogeneous free shear flows . Proceedings of the 7th Symposium on Turbulent Shear Flows . 1989 , Stanford, CA, USA. Edited by: Durst , F. , Launder , B. E. , Schmidt , F. W. and Whitelaw , J. H. pp. 17.1.1 – 17.1.6 .
  • Cresswell , R. , Haroutunian , V. , Ince , N. Z. , Launder , B. E. and Szczepura , R. T. 1989 . Measurement and modelling of buoyancy-modified, elliptic turbulent shear flows . Proceedings of the 7th Symposium on Turbulent Shear Flows . 1989 , Stanford, CA, USA. pp. 12.4.1 – 12.4.6 .
  • Ristorcelli , J. R. , Lumley , J. L. and Abid , R. 1995 . A rapid-pressure covariance representation consistent with the Taylor–Proudman theorem materially fram indifferent in the two-dimensional limit . Journal of Fluid Mechanics , 292 : 111 – 152 . [CSA]
  • Hanjalic , K. 1994 . Achievements and limitations in modelling and computation of buoyant turbulent flows and heat transfer . Proceedings of the 10th International Heat Transfer Conference . 1994 , Brighton. Edited by: Hewitt , G. F. pp. 1 – 18 .
  • Jones , W. P. and Musonge , P. 1987 . Closure of the Reynolds stress and scalar flux equations . Physics of Fluids , 31 : 3589 – 3604 . [CSA] [CROSSREF]
  • Girimaji , S. S. 1997 . Dynamical system analysis of Reynolds stress closure equations Report NASA CR 201749, Report ICASE 97-54
  • Rogers , M. M. 1986 . The structure and modelling of the hydrodynamic and passive scalar fields in homogeneous turbulent shear flow , Stanford, CA, , USA : Stanford University . PhD thesis
  • Speziale , C. G. and MacGiolla Mhuiris , N. 1989 . On the prediction of equilibrium states in homogeneous turbulence . Journal of Fluid Mechanics , 209 : 591 – 615 . [CSA]
  • Shih , T. H. , Shabbir , A. and Lumley , J. L. 1991 . Advances in modelling the pressure correlation terms in second moment equations Report NASA TM 104413, Report ICOMP-91-09
  • Tavoularis , S. and Corrsin , S. 1981 . Experiments in nearly homogeneous turbulent shear flows with a uniform mean temperature gradient, Part 1 . Journal of Fluid Mechanics , 104 : 369 – 381 . [CSA]
  • Shih , T. H. , Shabbir , A. and Lumley , J. L. 1994 . Realizability in second moment turbulence closures revisited Report NASA TM 106469, Report ICOMP-93-51
  • Gibson , M. M. and Launder , B. E. 1978 . Ground effects on pressure fluctuations in the atmospheric boundary layer . Journal of Fluid Mechanics , 86 : 491 – 511 . [CSA]
  • Craft , T. J. and Launder , B. E. 1991 . Computation of impinging flows using second-moment closures . Proceedings of the 8th Symposium on Turbulent Shear Flows . 1991 , Munich, Germany. Edited by: Durst , F. , Launder , B. E. , Schmidt , F. W. and Whitelaw , J. H. pp. 8.5.1 – 8.5.6 .
  • Lumley , J. L. 1978 . Computational modelling of turbulent flows . Advances in Applied Mechanics , 18 : 123 – 176 . [CSA]
  • Launder , B. E. , Reece , G. J. and Rodi , W. 1975 . Progress in the development of Reynolds-stress turbulence closure . Journal of Fluid Mechanics , 68 : 537 – 566 . [CSA]
  • Fu , S. , Launder , B. E. and Tselepidakis , D. P. 1987 . Developments in modelling the turbulent second moment pressure correlations , Mechanical Engineering Department, University of Manchester Institute of Science and Technology . Report TFD/89/1
  • Choi , K. S. and Lumley , J. L. 1984 . Return to isotropy of homogeneous turbulence revisited, Turbulence and chaotic phenomena in fluids . Proceedings of the IUTAM Symposium . 1984 , Kyota, Japan. Edited by: Tatsumi , T. pp. 267 – 272 . Amsterdam : North-Holland .
  • Pope , S. B. 1983 . Consistent modelling of scalars in turbulence models . Physics of Fluids , 26 : 404 – 408 . [CSA] [CROSSREF]
  • Monin , A. S. 1965 . On the symmetry of turbulence in the surface layer of air . Izvestiya, Atmospheric and Oceanic Physics , 1 : 45 – 54 . [CSA]
  • Newman , G. R. , Launder , B. E. and Lumley , J. L. 1981 . Modelling the behaviour of homogeneous scalar turbulence . Journal of Fluid Mechanics , 111 : 217 – 232 . [CSA]
  • Frisch , U. 1995 . Turbulence , Cambridge : Cambridge University Press .
  • Ristorcelli , J. R. 1995 . Diagnostic statistics for the assessment and characterization of complex turbulent flows Report ICASE 95-67
  • Tavoularis , S. and Karnik , U. 1989 . Further experiments on the evolution of turbulent stresses and scales in uniformly sheared turbulence . Journal of Fluid Mechanics , 204 : 457 – 478 . [CSA]
  • Durbin , P. A. and Speziale , C. G. 1994 . Realizability of second-moment closure via stochastic analysis . Journal of Fluid Mechanics , 280 : 395 – 407 . [CSA]

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