In the present study, a computational procedure used to setup a stationary normal shock in a computational domain, that mimics the experimental test section designed by Ogawa and Babinsky (2006), is outlined. The numerical methodology makes use of an immersed-boundary (IB) method to render the choking flap (that is adjusted for maintaining the shock position). It is shown that the introduction of a control mechanism (a porous medium) at the foot of the SBLI does not require changes to stagnation conditions to maintain the shock position, when using the current setup.