Model order reduction and boundary control of incompressible Boussinesq flow

Zichuan Wang
The time evolution of a two dimensional incompressible, density stratified, Boussinesq flow in a rectangular cavity is numerically simulated for a range of parameters. Boundary control is then implemented along the upper boundary by adjusting the fluid density. More specifically, the top boundary condition of the cavity is a fixed function of space that is modulated by the control input. The resulting numerical simulation for the fluid density and velocity is computed using finite differences
more » ... the vertical direction and a spectral method in the horizontal direction. To develop the
doi:10.7939/r3pn8xm2v fatcat:odzd3csiazhcno6b4o4av7jo3q