An iterative (k-L)-predictor/ε-corrector algorithm for solving (k-ε) turbulent models

Engineering Computations (Swansea, Wales)

Volumn 14, Issue 4, 1997, Pages 441-455

  Goldschmit, Marcela B ^a   Cavaliere, Miguel A ^a  

^a Center for Industrial Research Buenos Aires   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BENCHMARKING; COMPUTER SIMULATION; CONTINUUM MECHANICS; EDDY CURRENTS; INCOMPRESSIBLE FLOW; KINETIC ENERGY; MATHEMATICAL MODELS; PROBLEM SOLVING; REYNOLDS NUMBER; STRESSES; VISCOSITY OF LIQUIDS; CONVERGENCE OF NUMERICAL METHODS; TURBULENCE; TURBULENT FLOW;

NAVIER-STOKES EQUATIONS; REYNOLDS STRESSES; TURBULENT KINETIC ENERGY; TURBULENT MODELS; TURBULENT MODEL;

TURBULENT FLOW; ALGORITHMS;

BEAM; FLOW STABILITY; FLUID DYNAMICS;

EID: 0031451668     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644409710178502     Document Type: Article

References (49)

1. Abdelmeguid, A.M., Goh, S.Y., Ilegbusi J. and Spalding D.B. (1981), AFOSR-HTTM-Standford Conference on Complex Turbulent Flows III, pp. 1521-6.
2. Autret, A., Grandotto, M. and Dekeyser, I. (1987), "Finite element computation of a turbulent flow over a two-dimensional backward facing step", International Journal of Numerical Methods for Fluids, Vol. 7, pp. 89-102.
3. Bathe, J.K. (1982), Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ.
4. Benim, A.C. and Zinser, W. (1985), "Investigation into the finite element analysis of confined turbulent flows using a k-ε model of turbulence", Computer Methods in Applied Mechanics and Engineering, Vol. 51, pp. 507-23.
5. Betts, P.L. and Haroutunian, V. (1985), "K-ε modelling of turbulent flow over a backward facing step by a finite element method: comparison with finite volume solutions and experiment", Proceedings of the 4th International Conference on Numerical Methods in Laminar and Turbulent Flow, Swansea, pp. 574-85.
6. Bradshaw, P., Cebeci, T. and White, J.H. (1981), Engineering Calculation Methods for Turbulent Flow, Academic Press, Paris.
7. Brooks, A. and Hughes, T.J.R. (1982), "Streamline upwind Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations", Computer Methods in Applied Mechanics and Engineering, Vol. 32, pp. 199-259.
8. Cardot, B., Coron, F., Mohammadi, B. and Pironneau, O. (1991), "Simulation of turbulence with the k-ε model", Computer Methods in Applied Mechanics and Engineering, Vol. 87, pp. 103-16.
9. CIMNE (1992), FANTOM Users' Manual, Centro Internacional de Métodos Numèricos en Ingenierìa, Barcelona.
10. Codina, R. (1992), "A finite element model for incompressible flow problems", Doctoral thesis, Universidad Politècnica de Cataluòa, Barcelona.
11. Demirdzic, I., Gosman, A.D. and Issa, R.I. (1981), AFOSR-HTTM-Standford Conference on Complex Turbulent Flows III, pp. 1383-9.
12. Durst, F. and Rastogi, A.K. (1979), "Theoretical and experimental investigations of turbulent flow with separation", in Turbulent Shear Flows, I, Springer Verlag, New York, NY.
13. Favre, A., Kovasznay, L.S.G., Dumas, R., Gaviglio, J. and Coantic, M. (1976), La turbulence en mecanique des fluides, Gaulthier-Villars, Paris.
14. Frost, W. and Moulden, T.H. (1977), Handbook of Turbulence. Volume 1: Fundamentals and Applications, Plenum Press, New York, NY.
15. Giraurt, V. and Raviart, P.A. (1986), Finite Element Methods for Navier-Stokes Equations, Springer Verlag, New York, NY.
16. Hackman, L.P., Raithby, G.D. and Strong, A.B. (1984), "Numerical predictions of flows over backward-facing step", International Journal of Numerical Methods for Fluids, Vol. 4, pp. 711-24.
17. Haroutunian, V. and Engelman, M.S. (1991), "On modelling wall-bound turbulent flows using specialized near-wall finite elements and the standard k-ε turbulence model", Advances in Numerical Simulations of Turbulent Flows, ASME FED, Vol. 117.
18. Hughes, T.J.R. and Brooks, A. (1982), "A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: application to the streamline-upwind procedure", in Finite Element in Fluids, pp. 47-65.
19. Hughes, T.J.R., Liu, W.K. and Brooks, A. (1979), "Finite element analysis of incompressible viscous flows by penalty function formulation", Journal of Computational Physics, Vol. 30, pp. 1-60.
20. Kaul, U.K. and Kwak, D. (1986), "Computation of internal turbulent flow with a large separated flow region", International Journal of Numerical Methods for Fluids, Vol. 6, pp. 927-37.
21. Kim, J., Kline, S.J. and Johnston, J.P. (1980), "Investigation of a reattaching turbulent shear layer: flow over a backward-facing step", Transactions of the ASME, Vol. 102, pp. 302-8.
22. Launder, B.E. and Spalding, D.B. (1974), "The numerical computation of turbulent flows", Computer Methods in Applied Mechanics and Engineering, Vol. 3, pp. 269-89.
23. Launder, B.E., Leschziner, M.A. and Sinder, M. (1981), AFOSR-HTTM-Standford Conference on Complex Turbulent Flows III, pp. 1390-407.
24. Manouzi, H. and Fortin, M. (1991), "A treatment of wall boundaries for turbulent flows by the use of a transmission finite element method", International Journal of Numerical Methods in Engineering, Vol. 31, pp. 113-26.
25. Mansour, N.N. and Morel, T. (1981), AFOSR-HTTM-Standford Conference on Complex Turbulent Flows III, pp. 1418-23.
26. Mansour, N.N., Kim, J. and Moin, P. (1983), "Computation of turbulent flow over a backward facing step", NASA, Langley Research Center, TM 85851.
27. Markatos, N.C. (1986), "The mathematical modelling of turbulent flows", Applied Mathematical Modelling, Vol. 10, pp. 190-220.
28. Markatos, N.C.G., Spalding, D.B., Tatchell, D.G. and Vlachos, N. (1978), "A solution method for three-dimensional turbulent boundary layers on bodies of arbitrary shapes", Computer Methods in Applied Mechanics and Engineering, Vol. 15, pp. 161-74.
29. Mohammadi, B. and Pironneau, O. (1994), Analysis of the k-Epsilon Turbulence Model, John Wiley & Sons, New York, NY.
30. Morgan, K., Hughes, T.G. and Taylor, C. (1979), "The analysis of turbulent, free-shear, and channel flows by the finite element method", Computer Methods in Applied Mechanics and Engineering, Vol. 19, pp. 117-25.
31. Nallasamy, M. (1987), "Turbulence models and their applications to the prediction of internal flows: a review", Computers & Fluids, Vol. 15 No. 2, pp. 151-94.
32. Pironneau, O. (1989), Finite Element Methods for Fluids, John Wiley & Sons, New York, NY.
33. Pollard, A. (1981), AFOSR-HTTM-Standford Conference on Complex Turbulent Flows III, pp. 1486-90.
34. Ravisankar, M.S., Srinivas, M., Seetharamu, K.N., Aswathanarayana, P.A. and Reddy, J.N. (1993), "Numerical analysis of turbulent flow and heat transfer over a backward facing step: comparison with experimental results", 29th National Heat Transfer Conference, Heat Transfer in Turbulent Flows, ASME Heat Transfer Division Publication, Vol. 246, pp. 97-103.
35. Rodi, W. (1980), Turbulence Models and their Application in Hydraulics. A State of the Art Review, International Association for Hydraulic Research, The Netherlands.
36. Rodi, W., Celik, I., Demuren, A.O., Scheuerer, G., Shirani, E., Leschziner, M.A. and Rastogi, A.K. (1981), AFOSR-HTTM-Standford Conference on Complex Turbulent Flows III, pp. 1495-516.
37. Sani, R.L., Gresho, P.M., Lee, R.L. and Griffiths, D.F. (1981a), "The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part 1", International Journal of Numerical Methods for Fluids, Vol. 1, pp. 17-43.
38. Sani, R.L., Gresho, P.M., Lee, R.L., Griffiths, D.F. and Engelman, M. (1981b), "The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part 2", International Journal of Numerical Methods for Fluids, Vol. 1, pp. 171-204.
39. Smith, R.M. (1984a), "On the finite-element calculation of turbulent flow using the k-ε model", International Journal of Numerical Methods for Fluids, Vol. 4, pp. 303-19.
40. Smith, R.M. (1984b), "A practical method of two-equation turbulence modelling using finite elements", International Journal of Numerical Methods for Fluids, Vol. 4, pp. 321-36.
41. Szekely, J., Evans, J. W. and Brimacombe, J.K. (1988), The Mathematical and Physical Modeling of Primary Metals Processing Operations, John Wiley & Sons, New York, NY.
42. Szekely, J.W. (1989), "Some perspectives on mathematical modelling of metal processing operations", Ironmaking and Steelmaking, Vol. 16 No. 3.
43. Taylor, C., Thomas, C.E. and Morgan, K. (1981), "Modelling flow over a backward-facing step using the FEM and the two-equation model of turbulence", International Journal of Numerical Methods for Fluids, Vol. 1, pp. 295-304.
44. Tennekes, H. and Lumley, J.L. (1972), A First Course in Turbulence, MIT Press, Boston, MA.
45. Thangam, S. and Speziale, C.G. (1991, "Turbulent separated flow past a backward facing step: a critical evaluation of two-equation turbulence models", NASA, Langley Research Center, ICASE Report 91-23.
46. Thangam, S., Abid, R. and Speziale, C.G. (1991), "Application of a new k-τ model to near wall turbulent flows", NASA, Langley Research Center, ICASE Report 91-16.
47. Utnes, T. (1988), "Two-equation (k, ε) turbulence computations by the use of a finite element model", International Journal of Numerical Methods for Fluids, Vol. 8, pp. 965-75.
48. Yakhot, V., Thangam, S., Gatski, T.B., Orszag, S.A. and Speziale, C.G. (1991), "Development of turbulence models for shear flows by a double expansion technique", NASA, Langley Research Center, ICASE Report 91-65.
49. Zienkiewicz, O.C. and Taylor, R.L. (1989), The Finite Element Method. Volume 1: Basic Formulation and Linear Problems. Volume 2: Solid and Fluid Mechanics Dynamics and Nonlinearity, 4th ed., McGraw-Hill, London.