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Original Articles

Self-similar collapse of a 3D straight vortex filament model

Pages 135-142 | Received 07 Feb 2008, Accepted 20 Jun 2008, Published online: 30 Nov 2010

References

  • Boratav , ON and Pelz , RB . 1994 . Direct numerical simulation of transition to turbulence from a high-symmetry initial condition . Phys. Fluids , 6 : 2757 – 2784 .
  • Boratav , ON and Pelz , RB . 1995a . On the local topology evolution of a high-symmetry flow . Phys. Fluids , 7 : 1712 – 1731 .
  • Boratav , ON and Pelz , RB . 1995b . Locally isotropic pressure Hessian in a high-symmetry flow . Phys. Fluids , 7 : 895 – 897 .
  • Kimura , Y . 1987 . Similarity solutions of two-dimensional point vortices . J. Phys. Soc. Japan , 56 : 2024 – 2030 .
  • Kimura , Y . 1990 . Parametric motion of complex-time singularity toward real collapse . Physica , D46 : 439 – 448 .
  • Pelz , RB . 1997 . Locally self-similar, finite-time collapse in a high-symmetry vortex filament model . Phys. Rev. E , 55 : 1617 – 1626 .
  • Pelz , RB and Kimura , Y . 2003 . Self-similar, finite-time collapse of the straight vortex-filament dodecapole . RIMS Kokyuroku: Rich Pelz’ Contributions to Fluid Dynamics , 1326 : 10 – 13 . Available online at: http://hdl.handle.net/2433/43207

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