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Original Articles

Direct numerical simulation of fully developed turbulent and oscillatory pipe flows at

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Article: N32 | Received 09 Dec 2011, Accepted 02 Jun 2012, Published online: 07 Aug 2012

References

  • Avila , K. , Moxey , D. , Lozarde , A. , Avila , M. , Barkley , D. and Hof , and B. 2011 . The onset of turbulence in pipe flow . Science , 333 : 192 – 196 .
  • Sexl , T. 1930 . Über den von E. G. Richardson entdeckten Annulareffekt . Z. Phys. , A 61 : 349 – 362 .
  • Womersley , J. R. 1955 . Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known . J. Physiol. , 127 : 553 – 563 .
  • Nebauer , J.R.A. and Blackburn , H.M. 2009 . Stability of oscillatory and pulsatile pipe flow , Melbourne, Australia : Seventh International Conference on CFD in Minerals and Process Industries, CSIRO . Available at www.cfd.com.au/cfd_conf09
  • Thomas , C. , Bassom , A. P. , Blennerhassett , P. J. and Davies , C. 2011 . The linear stability of oscillatory Poiseuille flow in channels and pipes . Proc. R. Soc. , A 467 : 2643 – 2662 .
  • Zhao , M. , Ghidaoui , S. , Kolyshkin , A. A. and Vaillancourt , R. 2004 . On the stability of oscillatory pipe flows . Tech. Mech. , 24 : 289 – 296 .
  • Trukenmüller , K.E. 2006 . Stabilitätstheorie für die oszillierende Rohrströmung , Hamburg : Ph.D. thesis, Helmut–Schmidt–Universität . Available at http://opus.unibw-hamburg.de/opus/volltexte/2006/766/
  • Hino , M. , Sawamoto , M. and Takasu , S. 1976 . Experiments on transition to turbulence in an oscillatory pipe flow . J. Fluid Mech. , 75 : 193 – 207 .
  • Eckmann , D.M. and Grotberg , J.B. 1991 . Experiments on transition to turbulence in oscillatory pipe flow . J. Fluid Mech. , 222 : 329 – 350 .
  • Zhao , T.S. and Cheng , P. 1996 . Experimental studies on the onset of turbulence and frictional losses in an oscillatory turbulent pipe flow . Int. J. Heat Fluid Flow , 17 : 356 – 362 .
  • Lodahl , C. R. , Sumer , B. M. and Fredsøe , J. 1998 . Turbulent combined oscillatory flow and current in a pipe . J. Fluid Mech. , 373 : 313 – 348 .
  • Spalart , P.R. and Baldwin , B.S. 1989 . “ Direct simulation of a turbulent oscillating boundary layer ” . In Turbulent Shear Flows 6: Selected Papers from the 6th International Symposium on Turbulent Shear Flows , Edited by: Andre , J.C. , Cousteix , J. , Durst , F. , Launder , B.E. , Schmidt , F.W. and Whitelaw , J.H. 417 – 440 . Berlin : Springer .
  • Vittori , G. and Verzicco , R. 1998 . Direct simulation of transition in an oscillatory boundary layer . J. Fluid Mech. , 371 : 207 – 232 .
  • Akhavan , R. , Kamm , R. D. and Shapiro , A.H. 1991 . An investigation of transition to turbulence in bounded oscillatory Stokes flows Part 2. Numerical simulations . J. Fluid Mech. , 225 : 395 – 422 .
  • Akhavan , R. , Kamm , R. D. and Shapiro , A.H. 1991 . An investigation of transition to turbulence in bounded oscillatory Stokes flows Part 1. Experiments . J. Fluid Mech. , 225 : 423 – 444 .
  • Juárez , L.H. and Ramos , E. 2003 . Direct numerical simulation of transition to turbulence in an oscillatory channel flow . C. R. Mec. , 331 : 55 – 60 .
  • Schumann , U. 1973 . Ein Verfahren zur direkten numerischen Simulation turbulenter Strömungen in Platten- und Ringspaltkanälen und über seine Anwendung zur Untersuchung von Turbulenzmodellen , Karlsruhe : Ph.D. thesis, Universität Karlsruhe (TH) .
  • Schmitt , L. , Richter , K. and Friedrich , R. 1986 . Large-eddy simulation of turbulent boundary layer and channel flow at high Reynolds number, in Direct and Large Eddy Simulation of Turbulence , Edited by: Schumann , U. and Friedrich , R. 161 – 176 . Braunschweig, Germany : Vieweg .
  • Wagner , O. Shishkina and C. 2007 . A fourth order finite volume scheme for turbulent flow simulations in cylindrical domains . Comput. Fluids , 36 : 484 – 497 .
  • Chorin , A. J. 1968 . Numerical solution of the Navier–Stokes equations . Math. Comput. , 22 : 745 – 762 .
  • Chorin , A. J. 1969 . On the convergence of discrete approximations to the Navier–Stokes equations . Math. Comput. , 23 : 341 – 353 .
  • Brown , D. L. , Cortez , R. and Minion , M.L. 2001 . Accurate projection methods for the incompressible Navier–Stokes equations . J. Comput. Phys. , 168 : 464 – 499 .
  • Eggels , J.G. M. , Unger , F. , Weiss , M. H. , Westerweel , J. , Adrian , R. J. , Friedrich , R. and Nieuwstadt , F.T.M. 1994 . Fully developed turbulent pipe flow: A comparison between direct numerical simulation and experiment . J. Fluid Mech. , 268 : 175 – 210 .
  • Eckelmann , R.F. Blackwelder and H. 1979 . Streamwise vortices associated with the bursting phenomenon . J. Fluid Mech. , 94 : 577 – 594 .
  • Wagner , O. Shishkina and C. 2004 . Stability conditions for the Leapfrog–Euler scheme with central spatial discretization of any order . Appl. Numer. Anal. Comput. Math. , 1 : 315 – 326 .
  • Durst , F. , Kikura , H. , Lekakis , I. , Jovanović , J. and Ye , Q. 1996 . Wall shear stress determination from near-wall mean velocity data in turbulent pipe and channel flows . Exp. Fluids , 20 : 417 – 428 .
  • Grötzbach , G. 1983 . Spatial resolution requirements for direct numerical simulation of the Rayleigh–Bénard convection . J. Comput. Phys. , 49 : 241 – 264 .
  • Feldmann , D. and Wagner , C. 2011 . Numerical simulation of the high-frequency oscillatory ventilation in generic models of the human airways , Ottawa, Canada : Seventh International Symposium: On Turbulence and Shear Flow Phenomena . Available at http://tsfp7.org/papers.php

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