Kelvin-Helmholtz instability at the magnetospheric boundary - Dependence on the magnetosheath sonic Mach number

Physics

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Earth Magnetosphere, Kelvin-Helmholtz Instability, Mach Number, Magnetohydrodynamics, Magnetosheath, Asymptotic Methods, Computerized Simulation, Magnetohydrodynamic Waves, Magnetopause, Shear Flow, Shock Waves, Three Dimensional Models

Scientific paper

The study investigates the dependence of the Kelvin-Helmholtz (K-H) instability at the magnetospheric boundary on the magnetosheath sonic Mach number of the local time, and evaluates quantitatively the importance of the instability in the viscous interaction and in a ULF wave generation. It is shown that for all sonic Mach numbers a velocity boundary layer (VBL) is formed inside the magnetopause owing to the momentum transport by the K-H instability, and it becomes wider for a smaller sonic Mach number. A flow vortex is excited at the inner edge of the VBL for all sonic Mach numbers, and the magnetopause boundary is more highly nonlinearly corrugated by the instability for a smaller sonic Mach number. For the supersonic magnetosheath convective Mach number the total pressure perturbation in the magnetosheath becomes oscillatory in the x direction, while in the magnetosphere it is evanescent because the magnetospheric convective Mach number remains less than 1.0.

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