Affiliation:
1. Department of Math , Shahed University , Tehran , Iran
Abstract
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.
Subject
Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science
Reference26 articles.
1. Ben-Artzi. Matania, Global solutions of two-dimensional Navier-Stokes and Euler equations, Archive for rational mechanics and analysis, 128 (1994), 329–358.
2. Bernoff, J. Andrew and Joseph. F. Lingevitch, Rapid relaxation of an axisymmetric vortex, Physics of Fluids, 6 (1994), 3717–3723.
3. J. Boussinesq, Theorie Analitique de la Chaleur, vol. 2, Gauthier Villars, Paris, 1903.
4. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Dover Publications, Inc. 1981.
5. Drazin, Philip G., and William Hill Reid. Hydrodynamic stability. Cambridge university press, 2004.
Cited by
25 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献