Boundary treatment and an efficient pressure algorithm for internal turbulent flows using the PDF method

International Journal for Numerical Methods in Fluids

Volumn 24, Issue 2, 1997, Pages 215-232

  Mazumder, Sandip ^a   Modest, Michael F ^a  

^a The Pennsylvania State University   (United States)

Author keywords

Monte Carlo method; PDF method; Pressure algorithm; Turbulent flow; Wall treatment

Indexed keywords

ALGORITHMS; ANISOTROPY; COMPUTER SIMULATION; EQUATIONS OF MOTION; MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; STRESSES; WALL FLOW;

GENERALIZED LANGEVIN EQUATION; LAGRANGIAN MOMENTUM EQUATIONS; REYNOLDS STRESSES; STOCHASTIC PARTICLES;

TURBULENT FLOW;

BOUNDARY CONDITIONS; MODELLING-MATHEMATICAL; TURBULENT FLOW;

EID: 0030928871     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0363(19970130)24:2<215::aid-fld493>3.0.co;2-4     Document Type: Article

References (21)

1. S. B. Pope, 'PDF methods for turbulent reactive flows', Prog. Energy Combust. Sci., 11, 119-192 (1985).
2. J. Janicka, W. Kolbe and W. Kollmann, 'The solution of a PDF-transport equation for turbulent diffusion flames', Proc. Heat Transfer and Fluid Mechanics Institute, Stanford university Press, Stanford, CA, 1978.
3. F. C. Lockwood and A. S. Naguib, 'The prediction of the fluctuations in the properties of free, round-jet, turbulent, diffusion flame', Combust. Flame, 24, 109-124 (1975).
4. M. S. Anand and S. B. Pope, 'Calculations of premixed turbulent flames by PDF methods', Combust. Flame, 67, 127-142 (1987).
5. D. C. Haworth and S. B. Pope, 'A PDF modeling study of self-similar turbulent free shear flows', Phys. Fluids, 30, 1026-1044 (1987).
6. M. S. Anand, S. B. Pope and H. C. Mongia, 'A PDF method for turbulent recirculating flows', Lect. Notes Eng., 40, 672-693 (1989).
7. D. C. Haworth and S. H. El Tahry, 'Application of the PDF method to in-cylinder flows in reciprocating engines', Proc. Seventh Symp. on Turbulent Shear Flows, Stanford, CA, 1989.
8. S. V. Patankar and D. B. Spalding, 'A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows', Int. J. Heat Mass Transfer, 15, 1787-1806 (1972).
9. M. S. Anand, S. B. Pope and H. C. Mongia, 'Pressure algorithm for elliptic flow calculations with the PDF method', NASA Conf. Publ., 3078, 347-362 (1991).
10. R. I. Issa, 'Solution of the implicitly discretized fluid flow equations by operator-splitting', J. Comput. Phys., 62, 40-65 (1985).
11. H. Tennekes and J. Lumley, A First Course in Turbulence, MIT Press, Cambridge, MA, 1967.
12. K. Hanjalic and B. E. Launder, 'Contribution towards a Reynolds-stress for low-Reynolds-number turbulence', J. Fluid Mech., 74, 593-610 (1976).
13. B. E. Launder, W. C. Reynolds and W. Rodi, Turbulence Models and Their Applications, Edition Eyrolles, Paris, 1984.
14. J. C. Rotta, 'Statistiche Theorie nichthomongener Turbulenz', Z Phys., 129, 547 (1951).
15. P. A. Durbin, 'A Reynolds stress model for near-wall turbulence', J. Fluid Mech., 249, 465-498 (1993).
16. C. De Boor, A Practical Guide to Splines, Springer, Berlin, 1978.
17. S. V. Patankar and D. B. Spalding, Heat and Mass Transfer in Boundary Layers, Intertext Books, London, 1970.
18. C. M. Rhie and W. L. Chow, 'Numerical study of the turbulent flow past an airfoil with trailing edge separation', AIAA J., 21, 1525-1532 (1983).
19. H. Stone, 'Iterative solution of implicit approximations of mult-dimensional partial differential equations', SIAM J. Numer. Anal., 5, (1968).
20. K. Bray and P. Libby, 'Counter-gradient diffusion in premixed turbulent flames', AIAA J., 19, (1981).
21. S. B. Pope and Y. L. Chen, 'The velocity-dissipation probability density function model for turbulent flows', Phys. Fluids A, 2, 1437-1449 (1990).