An efficient fully implicit spectral scheme for DNS of turbulent viscoelastic channel flow

Journal of Non-Newtonian Fluid Mechanics

Volumn 122, Issue 1-3, 2004, Pages 243-262

  Housiadas, Kostas D ^a   Beris, Antony N ^a  

^a University of Delaware   (United States)

Author keywords

DNS; Drag reduction; FENE P; Giesekus; Oldroyd B; Spectral methods; Turbulence; Viscoelastic channel flow

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; MATHEMATICAL MODELS; NUMERICAL METHODS; POLYNOMIALS; TURBULENCE; VELOCITY MEASUREMENT; VISCOELASTICITY;

DIRECT NUMERICAL SIMULATIONS (DNS); VISCOELASTIC FLOWS;

CHANNEL FLOW;

ALGORITHM; CHANNEL FLOW; MATHEMATICAL ANALYSIS; VISCOELASTIC FLOW;

EID: 3242787459     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.07.001     Document Type: Article

References (31)

1. R. Sureshkumar A.N. Beris R.A. Handler Direct numerical integration of turbulent channel flow of a polymer solution Phys. Fluids 9 1997 743-755
2. C.D. Dimitropoulos R. Sureshkumar A.N. Beris Direct numerical simulations of viscoelastic turbulent channel flow exhibiting drag reduction: Effect of the variation of rheological properties J. Non-Newtonian Fluid Mech. 79 1998 433-468
3. C.D. Dimitropoulos R. Sureshkumar A.N. Beris Budgets of Reynolds stress, kinetic energy and streamwise enstrophy in viscoelastic turbulent channel flow Phys. Fluids 13 2001 1016-1027
4. K.D. Housiadas A.N. Beris Polymer-induced drag reduction: Effects of the variations in elasticity and inertia in turbulent viscoelastic channel flow Phys. Fluids 15 2003 2369-2384
5. K.D. Housiadas A.N. Beris Characteristic scales and drag reduction evaluation in turbulent channel flow of non-constant viscosity viscoelastic fluids Phys. Fluids. 16 5 2003 1581-1586
6. K.D. Housiadas R.B. Handler A.N. Beris Viscoelastic effects on higher order statistics and the coherent structures in turbulent channel flow Phys. Fluids 2003 submitted for publication
7. P. Ilg E. De Angelis I.V. Karlin C.M. Casciola S. Succi Polymer dynamics in wall turbulent flow Europhys. Lett. 58 2002 616-622
8. P.K. Ptasinski B.J. Boersma F.T.M. Nieuwstadt M.A. Hulsen B.H.A.A. Van den Brule J.C.R. Hunt Turbulent channel flow near maximum drag reduction: Simulations, experiments and mechanisms J. Fluid Mech. 490 2003 251-291
9. T. Min Y.Y. Jung H. Choi D.D. Joseph Drag reduction by polymer additives in a turbulent channel flow J. Fluid Mech. 486 2003 213-238
10. B. Yu Y. Kawaguchi Effect of Weissenberg number on the flow structure: DNS study of drag-reducing flow with surfactant additives Int. J. Heat Fluid Flow 24 2003 491-499
11. S.A. Orszag L.C. Kells Transition to turbulence in plane Poiseuille and plane Couette flow J. Fluid Mech. 96 1980 159-205
12. P. Moin J. Kim On the numerical solution of time-dependent viscous incompressible flows involving solid boundaries J. Comput. Phys. 35 1980 381-392
13. P. Orlandi A tentative approach to the direct simulation of drag reduction by polymers J. Non-Newtonian Fluid Mech. 60 1996 277-301
14. D.D. Joseph Fluid Dynamics of Viscoelastic Fluids 1990 Springer New York
15. F. Dupret J.M. Marchal Loss of evolution in the flow of viscoelastic liquids Non-Newtonian Fluid Mech. 20 1986 143-171
16. A.N. Beris B.J. Edwards Thermodynamics of Flowing Systems with Internal Microstructure 1994 Oxford University Press New York
17. A.N. Beris R. Sureshkumar Simulation of time-dependent viscoelastic channel Poiseuille flow at high Reynolds numbers Chem. Eng. Sci. 51 1996 1451-1471
18. M.J. Crochet V. Legat The consistent streamiline-upwind/Petrov-Galerkin method for viscoelastic flow revisited Non-Newtonian Fluid Mech. 42 1992 283-299
19. R.A. Brown M.J. Szady P.J. Northey R.C. Armstrong On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations Theoret. Comput. Fluid Dynam. 5 1993 77-106
20. R. Sureshkumar A.N. Beris Effect of artificial stress diffusivity on the stability of numerical calculations and the dynamics of time-dependent viscoelastic flows Non-Newtonian Fluid Mech. 60 1995 53-80
21. C. Canuto M.Y. Hussaini A. Quarteroni T.A. Zang Spectral Methods in Fluid Dynamics 1988 Springer-Verlag Inc. New York
22. T.N. Phillips I.M. Soliman Influence matrix technique for the numerical spectral simulation of viscous incompressible flows Num. Meth. PDE 7 1991 9-24
23. A.N. Beris M. Avgousti A. Souvaliotis Spectral calculations of viscoelastic flows: Evaluation of the Giesekus constitutive equation in model flow problems J. Non-Newtonian Fluid Mech. 44 1992 197-228
24. M. Renardy On the mechanism of drag reduction J. Non-Newt. Fluid Mech. 59 1995 93-101
25. H. Giesekus A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility J. Non-Newtonian Fluid Mech. 11 1982 69-109
26. R.I. Tanner Engineering Rheology 2nd Ed. 2000 Oxford University Press New York
27. P.S. Virk An elastic sublayer model for drag reduction by dilute polymer solutions of linear macromolecules J. Fluid Mech. 45 1971 417-440
28. J.L. Lumley Drag reduction by additives Ann. Rev. Fluid Mech. 1 1969 367-384
29. J.L. Lumley Drag reduction in turbulent flow by polymer additives J. Polym. Sci. Macromol. Rev. 7 1973 263-290
30. F.A. Seyer A.B. Metzner Turbulence phenomena in drag-reducing systems AIChE J. 15 1969 426-434
31. A.B. Metzner Polymer solution and fiber suspension rheology and their relationship to turbulent drag reduction Phys. Fluids 20 1977 145-149