Using Ocean Data you can view the Ocean Currents from two models - Mercator and RTOFS data.
The Mercator model is from the Europeans and driven by ECMWF atmospheric model.
RTOFS model comes from National Centers for Environmental Prediction, NOAA (USA) Model scope: This model provides forecasts for global ocean currents, at a high resolution 0.083°, 5.0nm, 9.3km