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DNS: a tool for numerical experiments

  • P. Orlandi
  • S. Leonardi
Part of the International Centre for Mechanical Sciences book series (CISM, volume 415)

Abstract

In this paper are described the results obtained by DNS of channel flows where one of the walls is flat and on the other different boundary conditions are imposed or the shape of the boundary is modified. The numerical tool is a second-order accurate finite-difference scheme in space and time. This method allows the imposition of several kinds of velocity boundary conditions and in combination with the immersed boundary method to change the shape of the boundary. The paper shortly describes the numerical tool; the aim is preferentially oriented to see how the DNS is used to study the wall structure modifications which imply the attainment a deeper knowledge of the wall physics. The modifications of the wall structures have been connected to changes in the velocity and vorticity statistics. The study is mainly oriented to the wall friction control.

Keywords

Turbulent Kinetic Energy Turbulent Boundary Layer Drag Reduction Vortical Structure Suction Side 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Antonia, R.A., Zhu, Y. and Sokolov M. (1995) Effect of concentrated wall suction on a turbulent boundary layers. Phys. Fluids 10: 2465–2474.CrossRefGoogle Scholar
  2. Boersma, B. (2000) Particle distributions in the flow over a wavy wall. Proc. of the 2000 CTR Summer Program VIII.Google Scholar
  3. Choi, H., Moin P. and Kim, J. (1993) Direct simulation of turbulent flow over riblets. J. Fluid Mech 255: 503–539.CrossRefMATHMathSciNetGoogle Scholar
  4. Choi, H., Moin, P. and Kim, J. (1994) Active turbulence control for drag reduction in wall-bounded flows. J. Fluid Mech 262: 75–110.CrossRefMATHGoogle Scholar
  5. De Angelis, V., Lombardi, P. and Banerjee, S. (1997) Direct numerical simulation of turbulent flow over a wavy wall. Physics of Fluids 9: 2429–2442.CrossRefGoogle Scholar
  6. Djenidi, L., Elavarasan, R. and Antonia, R. A. (1999) The turbulent boundary layer over transverse square cavities. J. Fluid Mech 395: 75–110.CrossRefGoogle Scholar
  7. Fadlun E.A., Verzicco, R., Orlandi, P. and Mohd-Yusof, J. (2000) Combined immersed boundary finitedifference methods for three-dimensional complex flow simulations. J. Comp. Physics 161: 35–60.CrossRefMATHMathSciNetGoogle Scholar
  8. Henn, D.S. and Sykes, R.I. (1999) Large-eddy simulation of flow over wavy surfaces. J. Fluid Mech 383: 75–112.CrossRefMATHGoogle Scholar
  9. Hinze, J.O. (1975) Turbulence Mc-Graw-Hill, New York.Google Scholar
  10. Ho, C.M. and Tai, Y.C. (1998) Micro-electro-mechanical-systems (MEMS) and fluid flows. Annual Review of Fluid Mechanics 30: 579–612.CrossRefGoogle Scholar
  11. Kim, H.T., Kline, S.J. and Reynolds, W.C. (1971) The production of turbulence near a smooth wall in a turbulent boundary layer. J. Fluid Mech 50: 133–160.CrossRefGoogle Scholar
  12. Kim, J., Morn, P. and Moser, R. (1987) Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid. Mech 177: 133–166.CrossRefMATHGoogle Scholar
  13. Le, A.T., Coleman, G.N. and Kim, J. (1999) Near-wall turbulence structures in three-dimensional boundary layers. Proceedings of Turbulence and shear flow Phenomena Santa Barbara California 151–156.Google Scholar
  14. Lee, M.J., Kim, J. and Morn, P. (1990) Structure of turbulence at high shear rate. J. Fluid. Mech 216: 561–583.CrossRefGoogle Scholar
  15. Leonardi, S. (1999) Simulazione diretta di un flusso turbolento in un canale con una cavità. Tesi di laurea in ingegneria aerospaziale Università di Roma `La Sapienza’.Google Scholar
  16. Lilly, D.K. (1965) On the computational stability of numerical solutions of time dependent non linear geophysical fluid dynamics problems. Monthly Weather Review 93 /1: 11–26.CrossRefGoogle Scholar
  17. Mohd-Yusof, J. (1997) Combined Immersed boundaries/B—splines methods for simulations of flows in complex geometries. CTR Annual Research Briefs NASA Ames/Stanford University 317–327.Google Scholar
  18. Morn, P. and Kim, J.H. (1982) Numerical investigation of turbulent channel flow. J. Fluid Mech 118: 341–377.CrossRefGoogle Scholar
  19. Orlandi, P. (1989) Numerical solution of 3-D flows periodic in one direction and with complex geometries in 2-D. CTR Annual Research Briefs NASA Ames/Stanford University 215–230.Google Scholar
  20. Orlandi, P. (1999) Fluid Flow Phenomena, A Numerical Toolkit Kluwer Academic Publishers.Google Scholar
  21. Orlandi, P. and Leonardi, S. (2000) DNS of bounded flows with manipulated walls. ERCOFTAC Bullettin March 2000 44: 22–29.Google Scholar
  22. Park, J. and Choi, H. (1999) Effects of uniform blowing or suction from a spanwise slot on a turbulent boundary layer flow. Physics of Fluids 11: 3095–3105.CrossRefMATHGoogle Scholar
  23. Peskin, C.S. (1972) Flow pattern around heart valves: a numerical method. J. Comp. Phys 10: 252–268.CrossRefMATHMathSciNetGoogle Scholar
  24. Rogers, M.M. and Morn, P. (1987) The structure of the vorticity field in homogeneous turbulent flows. J. Fluid Mech 176: 33–66.CrossRefGoogle Scholar
  25. Spalart, P.R. (1988) Direct simulation of turbulent boundary layers up to Ree = 1410. J. Fluid Mech 187: 61–98.CrossRefMATHGoogle Scholar
  26. Sumitani, Y. and Kasagi, N. (1995) Direct numerical simulation of turbulent transport with uniform wall injection and suction. AIM Journal 33: 1220–1228.Google Scholar
  27. Tessicini, F., Leonardi, S., Lelli, D., Fadlun, E., Verzicco, R. and Orlandi, P. (2000) Numerical simulations of flows past bluff-bodies by the immersed boundary method. Proceedings of ANIV Genova 18–21 2000.Google Scholar
  28. Tessicini, F. (2000) Metodo dei contorni immersi per flussi di interesse industriale: accoppiamento CAD solutore di Navier-Stokes. Tesi di laurea in ingegneria aerospaziale Università di Roma `La Sapienza’.Google Scholar
  29. Townsend, A.A. (1956) The structure of turbulent shear flow Cambridge University press, Cambridge.Google Scholar
  30. Uzkan, T. and Reynolds, W.C. (1967) A shear-free turbulent boundary layer. J. Fluid Mech 28: 803–821.CrossRefGoogle Scholar
  31. Verzicco, R., Mohd-Yusof, J., Orlandi, P. and Haworth, D.C. (1998) LES in complex geometries using boundary body forces. Proc. of the 1998 CTR Summer Program VII 171–186.Google Scholar
  32. Welch, J.E. and Harlow, F.H. (1965) The MAC method Los Alamos Scientific Laboratory Report LA 3425. Google Scholar
  33. Ye, T. Mittal, R., Udaykumar, H.S. and Shy, W. (1999) An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. J. Comp. Physics 156: 209–240.Google Scholar

Copyright information

© Springer-Verlag Wien 2001

Authors and Affiliations

  • P. Orlandi
    • 1
  • S. Leonardi
    • 1
  1. 1.Università di Roma “La Sapienza” Dipartimento di Meccanica e AeronauticaRomaItaly

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