The effects of compressibility on the linear and nonlinear properties of th
e magnetized wake are examined, with an emphasis on the high speed flow sit
uation. It is found that compressibility can modify properties of this syst
em previously identified for the incompressible case. Of particular interes
t is an investigation of how the properties of the magnetized wake vary wit
h the sonic Mach number. It is found that, in general, the growth rates of
the unstable sinuous and varicose modes decrease with increasing Mach numbe
r and with increasing Alfven number. However, at high sonic Mach numbers th
e varicose modes can have a growth rate which increases as the spanwise wav
e number increases, a significant difference from the incompressible case.
The linear compressible equations are solved by a Chebyshev collocation tec
hnique. Nonlinear computations based on a finite volume method are also pre
sented. Growth rates computed by both codes in the linear regime are in exc
ellent agreement. At long times the system relaminarizes to an overall acce
lerated and broadened wake channel. It is found that variations in the Mach
and Alfven numbers have a strong affect on the evolution of the magnetized
wake, e.g., for high M fast magnetosonic shocks are observed to develop. (
C) 2001 American Institute of Physics.