<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 [<xref ref-type="bibr" rid="j_amns.2020.2.00014_ref_019_w2aab3b7d431b1b6b1ab2b1c19Aa">19</xref>] the symmetry of the vortex destroyed rapidly.</p></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.

Vortex Theory for Two Dimensional Boussinesq Equations

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Vortex Theory for Two Dimensional Boussinesq Equations"}

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....

Vortex Theory for Two Dimensional Boussinesq Equations

Published Online: Jul 03, 2020

Page range: 67 - 84

Received: Dec 29, 2019

Accepted: Dec 30, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00014

Keywords
Boussinesq equation, Vortex, Hermite function, Single center vortex, Multi convective equation

© 2020 Morteza Sharifi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Vortex Theory for Two Dimensional Boussinesq Equations

Published Online: Jul 03, 2020

Page range: 67 - 84

Received: Dec 29, 2019

Accepted: Dec 30, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00014

KeywordsBoussinesq equation, Vortex, Hermite function, Single center vortex, Multi convective equation

© 2020 Morteza Sharifi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Boussinesq equation, Vortex, Hermite function, Single center vortex, Multi convective equation