Asymptotic Analysis of Conserved Densities Evaluated on Invariant Solutions Associated with Large Scale Nonlinear Zonal Flows Around the Rotating Sphere

作者：Ibragimov Ranis N^*; Dameron Michael; Dannangoda Chamath

来源：Mathematical Physics, Analysis and Geometry, 2014, 17(1-2): 27-47.

DOI：10.1007/s11040-014-9139-4

• Navier Stokes equations
• Conservation laws
• Lagrangian Euler equations
• Atmospheric modeling

We study the asymptotic behavior of the conserved densities deduced form the Lagrangian corresponding to the nonlinear two-dimensional Euler equations describing nonviscous incompressible fluid flows on a three-dimensional rotating spherical surface superimposed by a particular stationary latitude dependent flow. Under the assumption of no friction and a distribution of temperature dependent only upon latitude, the equations in question can be used to model zonal west-to-east flows in the upper atmosphere between the Ferrel and Polar cells. The conserved densities were analyzed and visualized by using the exact invariant solutions associated with the given model for the particular form of finite disturbances for which the invariant solutions are also exact solutions of Navier-Stokes equations.

• 出版日期2014-6