Open boundary conditions for forced waves in a rotating fluid

Previous studies on open boundary conditions in unbounded rotating fluid flows have concentrated on how to accurately simulate the outflow of free waves through an open boundary. In most limited area integrations of rotating fluids, however, the generated waves are forced rather than free, in which case the Sommerfeld radiation condition, applied in previous studies, is not valid. A new open boundary condition applicable to rotating stratified fluid flows is suggested below, which allows the fluid to be forced everywhere, including the open boundaries. To prove the applicability of the suggested open boundary conditions, some numerical experiments with a fluid contained within an infinitely long channel are considered. The new open boundary conditions are applied at two cross sections along the channel.