A two-dimensional numerical model for a dune-bed channel is extended t
o describe the flow structure in a channel with a bed of prescribed ge
ometry and roughness, and a free-floating ice cover of known roughness
. The model involves solution of the Reynolds-averaged Navier-Stokes e
quations with the k-omega turbulence model, which accounts for wall ro
ughness. It is validated against recent experiments in channels with s
imulated ice covers of varying roughness, and is applied to estimate t
he effect of an ice cover on the flow in a dune-bed channel.