The numerical simulation of time-dependent, 2-D compressible boundary-
layer flow containing a region of separation is studied. The separatio
n is generated by the introduction of an adverse pressure gradient alo
ng the freestream boundary. In order to validate the numerical method,
a low Mach-number laminar separation bubble flow is considered, which
enables an extensive comparison with incompressible results. The gene
ration of an adverse pressure gradient along the freestream boundary c
an be realized in various ways. An imposed decelerating flow boundary
is compared with a suction technique. The effects of the strength of t
he pressure gradient and the presence of small upstream perturbations
on the separation bubble are also investigated. The time-averaged char
acteristics of the flow are in good quantitative agreement with incomp
ressible approximate theories predicting the condition for separation.
The appearance of self-excited vortex shedding in unperturbed flows u
nder a sufficiently strong adverse pressure gradient is consistent wit
h incompressible flow simulations reported in the literature. The sati
sfactory result achieved in the calculation of the low Mach-number flo
w encourages the application of the numerical method to flows with str
ong compressibility effects.