Volume 2, Issue 5
Lattice BGK Simulation of Multipolar Vortex Formation

Gábor Házi & Gábor Tóth

Adv. Appl. Math. Mech., 2 (2010), pp. 533-544.

Published online: 2010-02

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  • 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.

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@Article{AAMM-2-533, author = {Gábor Házi and Gábor Tóth}, title = {Lattice BGK Simulation of Multipolar Vortex Formation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {5}, pages = {533--544}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-10S01}, url = {http://global-sci.org/intro/article_detail/aamm/8345.html} }
TY - JOUR T1 - Lattice BGK Simulation of Multipolar Vortex Formation AU - Gábor Házi & Gábor Tóth JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 533 EP - 544 PY - 2010 DA - 2010/02 SN - 2 DO - http://dor.org/10.4208/aamm.10-10S01 UR - https://global-sci.org/intro/aamm/8345.html KW - AB -

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.

Gábor Házi & Gábor Tóth. (1970). Lattice BGK Simulation of Multipolar Vortex Formation. Advances in Applied Mathematics and Mechanics. 2 (5). 533-544. doi:10.4208/aamm.10-10S01
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