Application of the full reduction technique for solution of equations with vector form non-linearity

We consider making use of the full reduction algorithm for solving the equations with a vector non-linearity. The solutions of such the equations describe the planetary scale non-linear vortex structures of the Earth atmosphere, ionosphere and magnetosphere. We present the modification of full reduction technique for Charney-Obukhov equation with periodic boundary conditions. This technique allows to reduce significantly calculation time and to apply much more detailed spatial grid for studying non-linear processes in the near-Earth space

Vortex and ULF wave structures in the plasma sheet of the Earth magnetosphere

We studied the ULF wave packet propagation in the Earth plasma sheet making use of the magnetic field measurements from FGM detector and plasma properties from CORRAL detector aboard the Interball-Tail spacecraft. The MHD vortex structures were observed simultaneously with the Pc5 ULF waves. The vortex spatial scale was found to be about 1200-3600 km and the velocity is 4-16 km/s transverse to the background magnetic field. We studied numerically the dynamics of the initial vortex perturbations in the plasma system with parameters observed in the Earth plasma sheet. The system with the vector nonlinearity was processed making use of the full reduction scheme. The good agreement of the experimental value of the vortex structure velocity with numerical results was obtained. The velocity was found to be close to the local plasma drift velocity

Magnetized Rossby waves in mid-latitude ionosphere F-layer

We present the results of study of the ionosphere quasi-periodic perturbations on the basis of the analysis of the critical f0F2 frequency variations. The temporal scales of the perturbations are about 7 days and relative amplitude of the f0F2 perturbations are up to 40% of the averaged electron density value. It is assumed from the temporal scale and position that the critical f0F2 frequency variations are caused by Rossby wave-like disturbances with magnetic field influence on the ions. We studied the spatial and temporal scales of the waves at the F-layer altitudes on the basis of the mid-latitude ionosonde network measurements (Millstone Hill, Dyess, and Point Arguello stations data). The generalized Charney-Obukhov equation is proposed to describe the dynamics of the perturbations. We present the numerical model based on the full reduction algorithm for numerical solution of the dynamics equation