Lattice BGK direct numerical simulation of fully developed turbulence in incompressible plane channel flow

Computers and Fluids

Volumn 35, Issue 10, 2006, Pages 1137-1153

  Lammers, P ^a   Beronov, K N ^a   Volkert, R ^a   Brenner, G ^a   Durst, F ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; INCOMPRESSIBLE FLOW; NUMERICAL METHODS; REYNOLDS NUMBER; STATISTICS; TURBULENT FLOW;

BOLTZMANN METHODS; COMPLEX FLOWS; INCOMPRESSIBLE PLANE CHANNEL FLOW;

CHANNEL FLOW;

CHANNEL FLOW; COMPUTER SIMULATION; INCOMPRESSIBLE FLOW; NUMERICAL METHODS; REYNOLDS NUMBER; STATISTICS; TURBULENT FLOW;

EID: 33747815823     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2005.10.002     Document Type: Article

References (28)

1. Amati G., Succi S., and Piva R. Massively parallel lattice-Boltzmann simulation of turbulent channel flow. Int J Mod Phys C 8 4 (1997) 869-878
2. Benzi R., Succi S., and Vergassola M. The lattice Boltzmann equation: theory and applications. Phys Rep (Rev Sect Phys Lett) 222 3 (1992) 145-197
3. Bhatnagar P., Gross E.P., and Krook M.K. A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys Rev 94 3 (1954) 511-525
4. Buick J., and Greated C. Gravity in lattice Boltzmann model. Phys Rev E 61 6 (2000) 5307-5320
5. Büttner R. LDA measurements in the near-wall region of an axisymmetric sudden expansion. Diploma work, University of Stuttgart and University of Erlangen-Nuremberg, 1995.
6. Dellar P.J. Incompressible limits of lattice Boltzmann equations using multiple relaxation times. J Comput Phys 190 (2003) 351-370
7. d'Humières D., Ginzburg I., Krafczyk M., Lallemand P., and Luo L.-S. Multiple-relaxation-time lattice Boltzmann models in three dimensions. Phil Trans Roy Soc Lond A 360 1792 (2002) 437-452
8. Durst F., and Beronov K.N. On the difficulties in resolving the viscous sublayer in wall-bounded turbulence. In: Friedrich R., Geutrs B., and Métais O. (Eds). Direct and large-eddy simulation V: Proceedings of the 5th ERCOFTAC workshop on LES, September 27-30, 2003 (2004), Springer, Munich, Berlin 43-58
9. Beronov KN, Durst F. Mathematical singularity and physical intermittency of the incompressible viscous sublayer. In: Andersson HI, Krogstad PÅ, editors. Advances in turbulence X: Proceedings of the 10th European turbulence conference, CIMNE (publication of the International Center for Numerical Methods in Engineering), Barcelona. 2004. p. 615-8.
10. Eggels J.G.M. Direct and large-eddy simulation of turbulent fluid flow using the lattice-Boltzmann scheme. Int J Heat Mass Transfer 17 (1996) 307-323
11. Fischer M., Jovanović J., and Durst F. Reynolds number effects in the near-wall region of turbulent channel flows. Phys Fluids 13 (2001) 1755-1767
12. Guo Z., Shi B., and Zheng C. A coupled lattice BGK model for the Boussinesq equations. Int J Num Meth Fluids 39 (2002) 325-337
13. He X., and Luo L.-S. Lattice Boltzmann model for the incompressible Navier-Stokes equation. J Stat Phys 88 3/4 (1997) 927-944
14. He X., and Luo L.-S. A priori derivation of the lattice Boltzmann equation. Phys Rev E 55 6 (1997) R6333-R6336
15. He X., and Luo L.-S. Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation. Phys Rev E 56 6 (1997) 6811-6817
16. He X., Zou Q., Luo L.-S., and Dembo M. Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice Boltzmann BGK model. J Stat Phys 87 1/2 (1997) 115-136
17. Jiménez J., del Álamo J.C., and Flores O. The large-scale dynamics of near wall turbulence. J Fluid Mech 505 (2004) 179-199
18. Jiménez J., and Pinelli A. The autonomous cycle of near wall turbulence. J Fluid Mech 389 (1999) 335-359
19. Kim J., Moin P., and Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. J Fluid Mech 177 (1987) 133-166
20. Kim K., and Adrian R.J. Very large-scale motion in the outer layer. Phys Fluids 11 2 (1999) 417-422
21. Krafczyk M., Tölke J., and Luo L.-S. Les based on multiple relaxation time lb model. Int J Mod Phys B 17 1-2 (2003) 33-39
22. τ = 590. Phys Fluids 11 4 (1999) 943-945
23. Perry A.E., and Chong M.S. On the mechanism of wall turbulence. J Fluid Mech 119 (1982) 173-217
24. Pope S.B. Turbulent flows (2000), Cambridge University Press, Cambridge
25. Qian Y.H., d'Humières D., and Lallemand P. Lattice BGK models for the Navier-Stokes equation. Europhys Lett 17 6 (1992) 479-484
26. Toschi F., Amati G., Succi S., Benzi R., and Piva R. Intermittency and structure functions in channel flow turbulence. Phys Rev Lett 82 25 (1999) 5044-5047
27. Volkert R, Breuer M, Durst F. Enhanced direct numerical simulations of the plane channel flow based on a spectral method. Technical report. Lehrstuhl für Strömungsmechanik, Universität Erlangen-Nürnberg, 2002.
28. Yang Z.L., Palm B., and Sehgal B.R. Numerical simulation of bubbly two-phase flow in a narrow channel. Int J Heat Mass Transfer 45 (2002) 631-639