Implicit unfactored implementation of two-equation turbulence models in compressible Navier-Stokes methods

International Journal for Numerical Methods in Fluids

Volumn 28, Issue 1, 1998, Pages 73-94

  Barakos, G ^a   Drikakis, D ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBLE FLOW; COMPUTER SOFTWARE; ITERATIVE METHODS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; TURBULENCE; TURBULENT FLOW;

GAUSS-SEIDEL SUBRELAXATION; NEWTON SUBITERATIONS; TWO-EQUATION TURBULENCE MODELS;

COMPUTATIONAL FLUID DYNAMICS;

COMPRESSIBLE FLOW; NAVIER-STOKES EQUATIONS; TURBULENT FLOW;

COMPRESSIBLE FLOW; NAVIER-STOKES EQUATIONS; TURBULENT FLOW;

EID: 0032527498     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19980715)28:1<73::AID-FLD700>3.0.CO;2-R     Document Type: Article

References (28)

1. B.E. Launder and D.B. Spalding, 'The numerical computation of turbulent flows', Comput. Methods Appl. Mech. Eng. 3, 269-289 (1974).
2. W.P. Jones and B.E. Launder, 'The prediction of laminarization with a two-equation model of turbulence', Int. J. Heat Mass Transf. 15, 301-314 (1972).
3. C.R. Yap, 'Turbulent heat and momentum transfer in recirculating and impinging flows', Ph.D Thesis, Faculty of Technology, UMIST, 1987.
4. B.E. Launder and B.I. Sharma, 'Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disk', Lett. Heat Mass Transf. 1, 131-138 (1974).
5. K.-Y. Chien, 'Predictions of channel and boundary layer flows with a low-Reynolds number turbulence model', AIAA J. 20, 33-38 (1992).
6. D.C. Wilcox and R.M. Traci, 'A complete model of turbulence', AIAA Paper 76-351, July, 1976.
7. D.C. Wilcox, Turbulence Modeling for CFD, DCW Industries, Wilcox, CA, 1993.
8. F.R. Menter, 'Influence of freestream values on k-ω turbulence model predictions', AIAA J. 30, 1657-1659 (1992).
9. F. Liu, 'Multigrid solution of the Navier-Stokes equations with a two-equation turbulence model', in D.A. Caughey and M.M. Hafez (eds.), Frontiers of Computational Fluid Dynamics, Wiley, New York, 1994, pp. 339-359.
10. R.F. Kunz and B. Lakshminarayama, 'Explicit Navier-Stokes computation of cascade flows using the k-∈ turbulence model', AIAA J. 30, 13-22 (1992).
11. W.W. Liou and T.H. Shih, 'Transonic turbulent flow predictions with two-equation turbulence models', ICOMP, NASA, Lewis, CR, 1996.
12. J. Sahu and J. Danberg, 'Navier-Stokes computations of transonic flows with a two-equation turbulence model', AIAA J. 24, 1744-1751 (1986).
13. G.A. Gerolymos and I. Vallet, 'Implicit computation of three-dimensional compressible Navier-Stokes equations using k-∈ closure', AIAA J. 34, 1321-1330 (1996).
14. H. Lin, D.Y. Yang and C.-C. Chieng, 'Variants of biconjugate gradient method for compressible Navier-Stokes solver', AIAA J. 33, 1177-1184 (1995).
15. S.R. Chakravarthy, 'High resolution upwind formulations for the Navier-Stokes equations', VKI Lecture Series, Computational Fluid Dynamics, 1988-05, 1988.
16. A. Eberle, '3D Euler calculations using characteristic flux extrapolation', AIAA-85-0119, January 14-17, Reno, NV, 1985.
17. M.A. Schmatz, A. Brenneis and A. Eberle, 'Verification of an implicit relaxation method for steady and unsteady viscous flow problems', AGARD CP 437, 15-1-33, 1988.
18. D. Drikakis and F. Durst, 'Investigation of flux formulae in transonic shock wave/turbulent boundary layer interaction', Int. J. Numer. Methods Fluids 18, 385-413 (1994).
19. J.P. Chen and D.L. Whitfield, 'Navier-Stokes calculations for the unsteady flow-field of turbomachinery', AIAA-93-0676, 31st Aerosp. Sci. Meet., January 11-14, Reno, NV, 1993.
20. A. Eberle, A. Rizzi and E.H. Hirschel, Numerical Solutions of the Euler Equations for Steady Flow Problems, Notes Numerical Fluid Mechanics, vol. 34, Wiesbaden, Vieweg-Verlag, 1992.
21. D. Drikakis, E. Schreck and F. Durst, 'Performance analysis of viscous flow computations on various parallel architectures', ASME J. Fluids Eng. 116, 835-841 (1994).
22. D. Drikakis and F. Durst, 'Parallelization of inviscid and viscous flow solvers', Int. J. Comput. Fluid Dyn. 3, 101-121 (1994).
23. R. Peyret and H. Viviand, 'Computation of viscous compressible flows based on the Navier-Stokes equations', AGARD AG-212 Rep., 1975.
24. A. Eberle, 'Characteristic flux averaging approach to the solution of Euler's equations', VKI Lecture Series, Computational Fluid Dynamics 1987-04, 1987.
25. D. Drikakis, P.A. Govatsos and D.E. Papantonis, 'A characteristics-based method for incompressible flows', Int. J. Numer. Methods Fluids 19, 667-685 (1994).
26. D. Drikakis, 'A parallel multiblock characteristics-based method for 3D incompressible flows', Adv. Eng. Softw. 26, 111-119 (1996).
27. D.A. Johnson, C.C. Horstman and W.D. Bachalo, 'Comparison between experiment and prediction for a transonic turbulent separated flow', AIAA J. 20, 737-744 (1982).
28. Menter F.R., 'Two-equation eddy-viscosity turbulence models for engineering applications', AIAA J. 32, 57-63 (1994).