We present the results of a series of numerical experiments that investigat
e the transport of magnetic fields by turbulent penetrative compressible co
nvection. We find that magnetic flux is preferentially transported downward
out of a turbulent convecting region and stored in a stably stratified reg
ion below. This pumping mechanism is believed to be a crucial component for
the operation of a large-scale solar interface dynamo since it may be resp
onsible for the transport of flux from the solar convection zone to the sta
ble overshoot region. The high-resolution three-dimensional simulations sho
w that efficient pumping occurs as a result of the action of strong coheren
t downflowing plumes. The properties of the transport are evaluated as a fu
nction of magnetic field strength, rotation rate, supercriticality, stiffne
ss of the interface, and configuration. The turbulent pumping of magnetic f
lux is remarkably robust and more efficient than its laminar counterpart. T
he turbulent convection naturally amplifies magnetic energy from any existi
ng mean field. The transport of flux from the convection zone removes the s
ource for this local amplification there, and thus the peak magnetic energy
also comes to reside in the stable region. This is important for an effect
ive interface dynamo.