182
Views
9
CrossRef citations to date
0
Altmetric
Section B

A combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems

&
Pages 1504-1524 | Received 29 Sep 2011, Accepted 15 May 2012, Published online: 11 Jun 2012

References

  • Acalar , M. S. and Smith , C. R. 1987 . A study of hairpin vortices in a laminar boundary layer. Part 1. Hairpin vortices generated by a hemisphere protuberance . J. Fluid Mech. , 175 : 1 – 41 .
  • Acalar , M. S. and Smith , C. R. 1987 . A study of hairpin vortices in a laminar boundary layer. Part 2. Hairpin vortices generated by a fluid injection . J. Fluid Mech. , 175 : 1 – 41 .
  • Adrian , R. J. 2007 . Hairpin vortex organization in wall turbulence . Phys. Fluids , 19 ( 4 ) article number 41301 (16 pages). doi: 10.1063/1.2717527
  • Beale , J. T. 1986 . A convergent 3-D vortex with grid-free stretching . Math. Comp. , 46 : 401 – 424 .
  • Beale , J. T. and Majda , A. 1982 . Vortex methods I: Convergence in three dimensions . Math. Comp. , 39 : 1 – 27 .
  • Beale , J. T. and Majda , A. 1982 . Vortex methods II: Higher order accuracy in two and three dimensions . Math. Comp. , 39 : 29 – 52 .
  • Beale , J. T. and Majda , A. 1985 . Higher order accurate vortex methods with explicit velocity kernels . J. Comput. Phys. , 58 : 188 – 208 .
  • Carpenter , P. W. , Davies , C. and Lucey , A. D. 2000 . Hydrodynamics and compliant walls: Does the dolphin have a secret? . Curr. Sci. , 79 ( 3 ) : 758 – 765 .
  • Choi , K. S. , Yang , X. , Clayton , B. R. , Glover , E. , Altar , M. , Semenov , B. N. and Kulik , V. 1997 . Turbulent drag reduction using compliant surfaces . Proc. R. Soc. Lond. A , 453 : 2229 – 2240 .
  • Chorin , A. J. 1973 . Numerical study of slightly viscous flow . J. Fluid Mech. , 57 : 785 – 796 .
  • Chorin , A. J. 1980 . Vortex models and boundary layer instability . SIAM J. Sci. Statist. Comput. , 1 : 1 – 21 .
  • Cottet , G. H. and Koumoutsakos , P. 2000 . “ Vortex Methods: Theory and Practice ” . Cambridge : Cambridge University Press .
  • Fishelov , D. 1990 . Vortex methods for slightly viscous three-dimensional flow . SIAM J. Sci. Statist. Comput. , 11 : 399 – 424 .
  • Fishelov , D. 1994 . Simulation of three-dimensional turbulent flow in non-Cartesian geometry . J. Comp. Phys. , 115 : 249 – 266 .
  • Gharakhani , A. and Ghoniem , A. F. 1997 . Three-dimensional vortex simulation of time-dependent incompressible internal viscous flows . J. Comp. Phys. , 134 : 75 – 95 .
  • Green , M. A. , Rowley , C. W. and Haller , G. 2007 . Detection of Lagrangian coherent structures in 3D turbulence . J. Fluid Mech. , 572 : 111 – 120 .
  • Hald , O. H. 1979 . Convergence of vortex methods for Euler's equations, II . SIAM J. Numer. Anal. , 16 : 726 – 755 .
  • Hald , O. H. 1991 . “ Convergence of vortex methods ” . In Vortex Methods and Vortex Motion , Edited by: Gustafson , K. E. and Sethian , J. A. 33 – 58 . Philadelphia : SIAM .
  • Head , M. R. and Bandyophadyay , P. 1981 . New aspects of turbulent boundary layer structure . J. Fluid Mech. , 107 : 297 – 338 .
  • Hon , T. L. and Walker , J. D.A. 1991 . Evolution of hairpin vortices in a shear flow . Comput. Fluids , 20 : 343 – 358 .
  • Kamemoto , K. 2004 . On the contribution of advanced vortex element methods towards virtual reality of unsteady vortical flows in the new generation of CFD . J. Braz. Soc. Mech. Sci. Eng. , XXVI : 368 – 378 .
  • Khatir , Z. 2000 . “ Discrete vortex modelling of near-wall flow structures in turbulent boundary layers ” . University of Warwick . Ph.D. thesis
  • Khatir , Z. 2001 . An algorithm for velocity calculation in close proximity to body surfaces in panel methods . Int. J. Comput. Math. , 78 : 471 – 480 .
  • Khatir , Z. 2004 . A boundary element method for the numerical investigation of near-wall fluid flow with vortex method simulation . Eng. Anal. Bound. Elem. , 28 : 1405 – 1416 .
  • Khatir , Z. and Carpenter , P. W. 2000 . Three-dimensional vortex/boundary element method for the numerical study of near-wall boundary-layer flow structure . Abstracts of 4th EUROMECH Fluid Mechanics Conference (EFMC2000) . November 19–23 2000 . pp. 66 – 67 . (ISBN 90-386 2652-5)
  • Khatir , Z. and Carpenter , P. 2001 . “ Three-dimensional vortex method for near-wall boundary-layer flow structures ” . In Computational Fluid Dynamics 2000 , Edited by: Satofuka , N. 589 – 594 . Berlin, London : Springer .
  • 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 .
  • Kline , S. J. , Reynolds , W. C. , Schraub , F. A. and Runstadler , P. W. 1967 . The structure of turbulent boundary layers . J. Fluid Mech. , 30 : 741 – 778 .
  • Leonard , A. 1980 . Vortex methods for flow simulation . J. Comp. Phys. , 37 : 289 – 335 .
  • Lewis , R. I. 1991 . “ Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems ” . Cambridge Engine Technology Series Cambridge : Cambridge University Press .
  • Lu , P. , Wang , Z. , Chen , L. and Liu , C. 2012 . Numerical study on U-shaped vortex formation in late boundary layer transition . Comput. Fluids , 55 : 36 – 47 .
  • Lucey , A. D. and Carpenter , P. W. 1995 . Boundary layer instability over compliant walls: Comparison between theory and experiment . Phys. Fluids , 7 : 2355 – 2363 .
  • Puckett , E. G. 1993 . “ Vortex methods: An introduction and survey of selected research topics ” . In Incompressible Computational Fluid Dynamics – Trends and Advances , Edited by: Gunzburger , M. D. and Nicolaides , R. A. 335 – 407 . Cambridge : Cambridge University Press .
  • Råde , L. and Westergren , B. 1995 . “ Mathematics Handbook for Science and Engineering ” . Studentlitteratur, Lund
  • Rosenhead , L. 1931 . The formation of vortices from a surface discontinuity . Proc. R. Soc. Lond. A , 134 : 170 – 192 .
  • Sarpkaya , P. 1989 . Computational methods with vortices – the 1988 Freeman scholar lecture . J. Fluids Eng. , : 5 – 52 .
  • Smith , C. R. , Walker , J. D.A. , Haidiri , A. H. and Sobrun , U. 1991 . On the dynamics of near-wall turbulence . Philos. Trans. R. Soc. Lond. Ser. A , 336 : 131 – 175 .
  • Zhao , L. and Tsukamoto , H. 2007 . Hybrid vortex method for high Reynolds numbers flows around three-dimensional complex boundary . Comput. Fluids , 36 : 1213 – 1223 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.