Measurements of a Lee Wave in the Southern Ocean: Energy and Momentum Fluxes and Mixing

Lee waves, internal waves generated by stratified flow over topographic features are thought to break and generate a significant proportion of the turbulent mixing required to close the abyssal overturning circulation. A lack of observations means that there is large uncertainty in the magnitude of contribution that lee waves make to turbulent transformations, as well as their importance in local and global momentum and energy budgets. Two EM-APEX profiling floats deployed in the Drake Passage during the Diapycnal and Isopycnal Mixing Experiment (DIMES) independently measured a large lee wave over the Shackleton Fracture Zone. A model for steady EM-APEX motion is presented and used to calculate absolute vertical water velocity in addition to horizontal velocity measurements made by the floats. The wave is observed to have velocity fluctuations in all three directions of over 15 cm s^-1 and a frequency close to the local buoyancy frequency. Furthermore, the wave has a measured peak vertical flux of horizontal momentum of 6 N m^-2, a value that is two orders of magnitude larger than the time mean wind forcing on the Southern Ocean. Linear internal wave theory was used to estimate wave energy density and fluxes, while a mixing parameterisation was used to estimate the magnitude of turbulent kinetic energy dissipation, which was found to be elevated above typical background levels by two orders of magnitude. This work provides the first direct measurement of a lee wave generated by ACC flow over topography with simultaneous estimates of energy fluxes and mixing.