Lattice BGK simulation of multipolar vortex: Formation

G. Házi, Ǵabor T́oth

Research output: Contribution to journalArticle

Abstract

Analytical and numerical studies have shown that multipolar vortices can emerge in two-dimensional flow due to azimuthal normal mode perturbations of shielded vortices. It has been found that mode 2 and 3 perturbations can lead to the formation of stable tripoles and quadrapoles, respectively, while higher order modes result in more complex unstable compound vortices. We have used the lattice Boltzmann method to simulate the effect of azimuthal perturbations on shielded vortices at moderate Reynolds numbers. We have found that azimuthal normal mode perturbations result in the formation of multipoles, which decay due to viscous dissipation. We could also observe that the outcome of such simulations is very sensitive to the displacement of perturbations above wavenumber-3 excitations, in spite of the significant viscosity we used.

Original languageEnglish
Pages (from-to)533-544
Number of pages12
JournalAdvances in Applied Mathematics and Mechanics
Volume2
Issue number5
DOIs
Publication statusPublished - 2010

Fingerprint

Vortex
Vortex flow
Perturbation
Normal Modes
Simulation
Viscous Dissipation
Lattice Boltzmann Method
Reynolds number
Viscosity
Numerical Study
Excitation
Unstable
Decay
Higher Order

Keywords

  • Lattice boltzmann method
  • Shielded vortex
  • Stability

ASJC Scopus subject areas

  • Applied Mathematics
  • Mechanical Engineering

Cite this

Lattice BGK simulation of multipolar vortex : Formation. / Házi, G.; T́oth, Ǵabor.

In: Advances in Applied Mathematics and Mechanics, Vol. 2, No. 5, 2010, p. 533-544.

Research output: Contribution to journalArticle

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