Article
Vortex Theory for Two Dimensional Boussinesq Equations
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Abstract
In this paper, the single center vortex method (SCVM) is extended to find some vortex solutions of finite core size for dissipative 2D Boussinesq equations. Solutions are expanded in to series of Hermite eigenfunctions. After confirmation the convergence of series of the solution, we show that, by considering the effect of temperature on the evolution of the vortex for the same initial condition as in [19] the symmetry of the vortex destroyed rapidly.
Keywords
Boussinesq equation, Vortex, Hermite function, Single center vortex, Multi convective equation, 26A33, 37L05, 35D35, 76D17
Citation
Sharifi, M. & Raesi, B. (2020). Vortex theory for two dimensional boussinesq equations. Applied Mathematics and Nonlinear Sciences, 5(2), 67–84. https://doi.org/10.2478/amns.2020.2.00014
M. Sharifi and B. Raesi, “Vortex theory for two dimensional boussinesq equations,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, pp. 67–84, 2020, doi: 10.2478/amns.2020.2.00014.
Sharifi M, Raesi B. Vortex theory for two dimensional boussinesq equations. Applied Mathematics and Nonlinear Sciences. 2020;5(2):67–84. doi:10.2478/amns.2020.2.00014.
Sharifi, M. and Raesi, B. (2020), ‘Vortex theory for two dimensional boussinesq equations’, Applied Mathematics and Nonlinear Sciences, 5(2), pp. 67–84. Available at: https://doi.org/10.2478/amns.2020.2.00014.
Sharifi, Morteza, and Behruz Raesi. “Vortex Theory for Two Dimensional Boussinesq Equations.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, 2020, pp. 67–84. https://doi.org/10.2478/amns.2020.2.00014.
Sharifi, Morteza, and Behruz Raesi. “Vortex Theory for Two Dimensional Boussinesq Equations.” Applied Mathematics and Nonlinear Sciences 5, no. 2 (2020): 67–84. https://doi.org/10.2478/amns.2020.2.00014.
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