Numerical linear stability on controlled solutions of Boussinesq Navier-Stokes
2008 - M.C. Navarro, H. Herrero
Proc. Appl. Math. Mech. 7, 2100061 (2008).
A numerical linear stability analysis on optimally controlled solutions in a thermoconvective problem is presented. The thermoconvective problem is a stationary Boussinesq Navier-Stokes with a gaussian heating at the bottom with a large horizontal temperature gradient. The numerical method is Chebyshev collocation. The optimal control permits to find a boundary condition such that the vorticity is minimized. For some values of the penalizing parameter the controlled solution is more stable than the corresponding uncontrolled one.