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Vortex Theory for Two Dimensional Boussinesq Equations

Morteza Sharifi

Morteza Sharifi

Department of Math, Shahed UniversityTehran, Iran
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Sharifi, Morteza
 et 
Behruz Raesi

Behruz Raesi

Department of Math, Shahed UniversityTehran, Iran
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Raesi, Behruz
  
03 juil. 2020
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Publié en ligne: 03 juil. 2020
Pages: 67 - 84
Reçu: 29 déc. 2019
Accepté: 30 déc. 2019
DOI: https://doi.org/10.2478/amns.2020.2.00014
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© 2020 Morteza Sharifi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 2

the graph of the nonaxisymmetric portion (E) with m = 4 and α = 0.
the graph of the nonaxisymmetric portion (E) with m = 4 and α = 0.

Fig. 1

a) Initial perturbation with δ = 0.1 and b) Vorticity distribution at t = 400 with m = 4 and values of α = 0, ν = 1/500, and KT = 1/500.
a) Initial perturbation with δ = 0.1 and b) Vorticity distribution at t = 400 with m = 4 and values of α = 0, ν = 1/500, and KT = 1/500.

Fig. 3

The graph of the nonaxisymmetric portion (E) with m = 4 and α = 69 × 10−6 .
The graph of the nonaxisymmetric portion (E) with m = 4 and α = 69 × 10−6 .

Fig. 4

Vorticity distribution for small values of α where a) at time t = 15, KT = 1/500, ν = 1/500, and m = 4, b) at time t = 15, KT = 1/1500, ν = 1/500, and m = 4.
Vorticity distribution for small values of α where a) at time t = 15, KT = 1/500, ν = 1/500, and m = 4, b) at time t = 15, KT = 1/1500, ν = 1/500, and m = 4.

Fig. 5

The graph of the nonaxisymmetric portion (E) with m = 4 and α = 69 × 10−4 .
The graph of the nonaxisymmetric portion (E) with m = 4 and α = 69 × 10−4 .

Fig. 6

Vorticity distribution for great values of α where a) at time t = 6, KT = 1/500, ν = 1/500, and m = 4, b) at time t = 6, KT = 1/1500, ν = 1/500, and m = 4, c) at time t = 7, KT = 1/500, ν = 1/500, and m = 4, d) at time t = 7, KT = 1/1500, ν = 1/500, and m = 4.
Vorticity distribution for great values of α where a) at time t = 6, KT = 1/500, ν = 1/500, and m = 4, b) at time t = 6, KT = 1/1500, ν = 1/500, and m = 4, c) at time t = 7, KT = 1/500, ν = 1/500, and m = 4, d) at time t = 7, KT = 1/1500, ν = 1/500, and m = 4.
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