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Evaluation of explicit algebraic stress models using direct numerical simulations

Article: N38 | Received 10 May 2004, Accepted 08 Nov 2004, Published online: 24 Jan 2011

References

References

  • Huser , A , Biringen , S and Hatay , FF . 1994 . Direct simulation of turbulent flow in a square duct: Reynolds-stress budgets . Phys. Fluids , 6 : 3144
  • Speziale , CG . 1987 . On non-linear k-l, and k-ε models of turbulence . J. Fluid Mech. , 178 : 459
  • Gatski , TB and Speziale , CG . 1993 . On explicit algebraic stress models for complex turbulent flows . J. Fluid Mech. , 254 : 59 – 78 .
  • Mompean , G , Gavrilakis , S , Machiels , L and Deville , M . 1996 . On predicting the turbulence induced secondary flows using non-linear k-ε models . Phys. Fluids , 8 : 1856 – 68 .
  • Gavrilakis , S . 1992 . Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct . J. Fluid Mech. , 244 : 101 – 29 .
  • Schmitt , FG , Merci , B , Dick , E and Hirsch , C . 2003 . Direct investigation of the K-transport equation for a complex turbulent flow . J. Turbulence , 3 : 304
  • Rodi , W . 1976 . A new algebraic relation for calculating the Reynolds stresses . ZAMM , 56 T219-21
  • Pope , SB . 1975 . A more general effective-viscosity hypothesis . J. Fluid Mech. , 72 : 331 – 40 .
  • Taulbee , DB . 1992 . An improved algebraic Reynolds stress model and corresponding nonlinear stress model . Phys. Fluids , A 4 : 2555 – 61 .
  • Taulbee , DB , Sonnenmeir , JR and Wall , KM . 1994 . Stress realtion for three-dimensional turbulent flows . Phys. Fluids , A 6 : 1399 – 401 .
  • Wallin , S and Johansson , AV . 2000 . An explicit algebraic Reynolds model for incompressible and compressible turbulent flows . J. Fluid Mech. , 403 : 89 – 132 .
  • Gatski TB Rumsey CL 2001 Linear and non-linear eddy viscosity models Closure Strategies for Turbulent and Transitional Flows ed B. E., Launder and N. D., Sandham Cambridge Cambridge University Press 9 46
  • Shih TH Zhu J Lumley JL 1993 A realizable Reynolds stress algebraic equation model NASA Tech. Memo. TM-105993
  • Shih , TH , Zhu , J and Lumley , JL . 1995 . A new Reynolds stress algebraic equation model . Comput. Meth. Appl. Mech. Eng. , 125 : 287 – 302 .
  • Mansour , NN , Shih , TH and Reynolds , WC . 1991 . The effect of rotation on initially anisotropic homogeneous flows . Phys. Fluids , A 10 : 2421 – 5 .
  • Reynolds WC 1987 Fundamentals of turbulence for turbulence modeling and simulation Course on Modern Theoretical and Experimental Approaches to Turbulent Flow Structure and its Modelling volume AGARD Report 755 1–1, 1–66, Von Karman Institute: Rhode-St-Genèse, Belgium
  • Rubinstein , R and Barton , JM . 1990 . Nonlinear Reynolds stress models and the normalization group . Phys. Fluids , A 2 : 1472 – 6 .
  • Gatski , TB and Jongen , T . 2000 . Nonlinear eddy viscosity and algebraic stress models for solving complex turbulent flows . Prog. Aerospace Sci. , 36 : 655 – 82 .
  • Rumsey , CL , Gatski , TB and Morrison , JH . 2000 . Turbulence model predictions of strongly curved flow in a U-duct . AIAA J. , 38 : 1394 – 402 .
  • Souza Mendes , PR , Padmanabhan , M , Scriven , LE and Macosko , CW . 1995 . Inelastic constitutive equations for compplex flows . Rheol. Acta , 34 : 209 – 14 .
  • Speziale , CG , Sarkar , S and Gatski , TB . 1991 . Modelling the pressure-strain correlation of turbulence: an invariant dynamical system approach . J. Fluid Mech. , 227 : 245 – 72 .
  • Jongen , T and Gatski , TB . 1998 . General explicit algebraic stress relations and best approximation for three-dimensional flows . Int. J. Eng. Sci. , 36 : 739 – 63 .
  • El Yahyaoui , O , Mompean , G and Naji , H . 2002 . Evaluation a priorid'un modèle non-linéaire de turbulence . C. R. Acad. Sci. Paris, Mecanique , 330 : 27 – 34 .
  • El Yahyaoui O Mompean G Naji H Thais L 2002 A priori, evaluation of non-linear models for turbulent incompressible flows Proc. 5th Int. Symp. on Engineering Turbulence Modelling and Measurements (Mallorca 16-18 September) ed W Rodi
  • Rotta , JC . 1951 . Statistische theorie nichthomogener turbulentz . Z. Phys. , 129 : 547 – 72 .
  • Launder , BE , Reece , GJ and Rodi , W . 1975 . Progress in the development of a Reynolds-stress turbulence closure . J. Fluid Mech. , 41 : 537 – 66 .
  • Girimaji , SS . 1996a . Fully-explicit, self-consistent algebraic Reynolds stress model . Theor. Comput. Fluid Dyn. , 8 : 387 – 402 .
  • Girimaji SS 1996b Improved algebraic Reynolds stress model for engineering flows Engineering Turbulence Modelling and Experiments 3 ed W Rodi and C Bergeles Amsterdam Elsevier 121 9
  • Drouot , R . 1976 . Définition d'un transport associé à un modèle de fluide du deuxième ordre. Comparaison de diverses lois de comportement . C. R. Acad. Sci. Paris, Sér. , A 282 : 923 – 6 .
  • Drouot , R and Lucius , M . 1976 . Approximation du second ordre de la loi de comportement des fluides simples. Lois classiques déduites de l'introduction d'un nouveau tenseur objectif . Archiwum Mechaniki Stosowanej , 28 : 189 – 98 .

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