Anticipatory Simulation of Charged Particle Flows in Electric and Magnetic Fields. Image Method for Anticipatory Modeling Disturbances due to Bodies in Motion Through a Magnetoplasma

The time-dependent anticipatory simulations of charged particle flows and disturbances due to bodies in motion through magnetoplasma are discussed. The flows and disturbances are described on the basis of the Boltzmann equation. The equation is solved analytically in different specific cases taking into account the ambient electric and magnetic fields. The particle flows are evaluated on the basis of the obtained solutions. The distributions of mean densities and pressures of the flows are calculated in 3D space, the corresponding iso-surfaces are plotted. The time-dependent stratifications are described analytically for the charged particle flows across the ambient magpetic field. Developing flute structures are described analytically for the flows along the ambient magnetic fields. Anticipatory disturbances of charged particle flows due to the ambient flow interactions with bodies are simulated taking into account the ambient magnetic field effect. Effects of interactions between solid surfaces and charged particle flows have been simulated using the original image method (M.Ponomarjov, Planet. Space Sci.,43, 1419-1427, 1995; Physical Review E, 54, 5591-5598, 1996). The flow disturbances are described by the Boltzmann equation. ln the case of the homogeneous ambient magnetic field the Boltzmann equation is solved analytically. Different specific cases of the particle interactions with solid surfaces are considered in detail. These cases are: (i) absorbing, (ii) direct reflection and (iii) diffuse reflection of the particles impinging the solid surfaces. The disturbances of mean densities and pressures of the flows are calculated in 3D space, the corresponding iso-surfaces are plotted. The time-dependent stratifications of the disturbed flows are obtained analytically for the solid surface in motion across the ambient magnetic field. Developing flute structures of the disturted flows is predicted analytically for the solid surface in motion along the ambient magnetic fields.