Numerical simulation of the convective plasma dynamics stage at the ionosphere motion by means of 3D MHD equations
It was developed the 3D numerical MHD model meant for the simulation of the plasma cloud expansion into nonuniform partly ionized ionosphere with magnetic field. The plasma cloud has high energy density and was formed by the strong spherical explosion. The MHD equations were written down in the divergence form of one-speed and one-temperature approach by using Eulerian coordinates. The diffusion of magnetic field and the angle between the vectors of vertical atmospheric density gradient and magnetic field was also taken into account. As the initial condition for 3D numerical simulation was used the data from the initial stage of the plasma deceleration found by the solution of 1D problem in Lagrange statement. The numerical simulations of the plasma cloud expanding into rarefied ionosphere with geomagnetic field are made up to 6 [s] in time by means of the present 3D numerical algorithm. It was found the geomagnetic field evident effect along the whole length of the plasma cloud.
characteristic matrix characteristic-based scheme jacobi matrix ideal mhd equations eigenvalues eigenvectors