The impact of realistic topographic representation on the
parameterisation of oceanic lee wave energy flux
Abstract
Oceanic lee waves are generated when quasi-steady flows interact with
rough topography at the bottom of the ocean, providing an important sink
of energy and momentum from the mean flow and a source of turbulent
kinetic energy. Linear theory with a spectral representation of
topography is typically used to inform parameterisations of lee wave
generation. Here, we use a realistic wave resolving simulation of the
Drake Passage, a hot-spot of lee wave generation, to investigate the
utility of such parameterisations for areas of complex large scale
topography. The flow is often blocked and split by large amplitude
topographic features, creating an ‘effective topography’, and calling
into question the spectral representation of small scale topography for
lee wave generation. By comparing the resolved modelled wave field to
parameterisations employing various representations of topography, we
show that spectral methods may not be appropriate in areas of rough
topography. We develop a simple topographic representation consisting of
an ensemble of topographic peaks, which allows physical treatment of
flow blocking at finite amplitude topography. This method allows better
prediction of bottom vertical velocities and lee wave energy flux than
spectral methods, and implies that the nature of lee waves in such
regions can be misrepresented by a spectral approach to topographic
representation. This leads to both an overestimate of wave energy flux
and an underestimate of wave nonlinearity, with implications for the
mechanisms by which lee waves break and mix in the abyssal ocean.