The ice-ocean response to variable winds is analysed based upon two ty
pes of models. An analytical ice-ocean model with linear stress laws a
nd forced by periodic winds is first derived. Secondly a numerical, ve
rtically resolved ice-ocean model is introduced. In the numerical mode
l, the ice-water stress law is calculated from a turbulence model and
the wind stress is calculated on the basis of a square law formation.
By comparing the ice-ocean stress law formulations, it is illustrated
that the numerical model predicts an ice-ocean stress law that has a p
ower slightly less than 2 compared to 1 for the analytical model. The
numerical prediction is in good accordance with field observations and
the slight deviation from 2 is due to wall effects close to the ice-w
ater interface. It is then demonstrated that the ice-ocean response to
variable winds could be well simulated by both models, but the analyt
ical model did not capture the wind dependency properly (because of th
e linear approach). The ice and current factors are amplified at wind
frequencies close to inertial (omega = -f) and damped at high positive
and negative frequencies. The maximum ice and current factors at a wi
nd frequency equal to the inertial oscillation are shown to be depende
nt only on the friction coefficients. With the constants applied in th
e present study, the maximum ice drift and current speed are equal to
7.8% and 5.5% of the wind speed, respectively. These steady state valu
es are however quite unrealistic as they would require a uniformly cha
nging wind direction for many inertial periods.