  G\"{o}rtler vortices develop along concave walls as a result of the imbalance
between the centrifugal force and radial pressure gradient. In this study, we
introduce a simple control strategy aimed at reducing the growth rate of
G\"{o}rtler vortices by locally modifying the surface geometry in spanwise and
streamwise directions. Such wall deformations are accounted in the boundary
region equations (BRE) by using a Prandtl transform of dependent and
independent variables. The vortex energy is then controlled via a classical
proportional control algorithm for which either the wall-normal velocity or the
wall shear stress serves as the control variable. Our numerical results
indicate that the control algorithm is quite effective in minimizing the wall
shear stress.
