Computations of steady flows over yawing and spinning axisymmetric projecti
les are largely carried out by numerical algorithms using steady methods. O
f particular interest is the prediction of the Magnus force and moment. How
ever this axisymmetric characteristic is lost with fins addition, and the f
low becomes unsteady whatever the framework is. ONERA and GIAT Industries h
ave developed a new unsteady scheme, based on grid movement, that allows su
ch a turbulent unsteady flow to be solved. This scheme has been used succes
sfully over a spinning and yawed body-tail configuration. The Magnus effect
is generated on the body by the spin-induced boundary-layer distortion at
moderate incidences, whereas asymmetric vortices tend to invert this effect
at upper incidences. Fins contribute to an opposite and greater lateral fo
rce. The total Magnus force appeared to be linear with respect to angle of
attack and spin rate, but the range of linearity of angle of attack is much
smaller than for a nonfinned body.