This data presents surface outputs from a simulation of the Boussinesq equations of motion on a re-rentrant zonal channel centred around 45ºN. A beam of northward-propagating mode-1 internal tide oscillating with a period of 12 hours interacts with quasi-geostrophic turbulence, created by a baroclinicially unstable jet. We separated the signal into low-frequency (i.e., evolving over two days or longer) and tidal-frequency (harmonic fits) components, in addition to the raw (instantaneous) data. The dataset contains five experiments with increasing turbulence intensities (wp50 to wp90) and split into three 100-day intervals (t1, t2 and t3). It includes sea surface height, sea surface temperature, surface vorticity, and other surface fields. For more details, see supporting publications and GitHub repository listed here, or contact the authors. V2 update (28 May 2021): wp50 was erroneously restored to the same stratification as wp75, which is now fixed. We also included the sin components of the harmonic filterings.