They study three types of parameterizations of eddies by comparing their effect in eddy-revolving simulations to that of a simulation with finer resolution, in the idealized configuration of a western boundary current and its interior.
Unfortunately, when mentioning Fanning and Weaver (1997), the authors do not mention their main result: that the total transport in an ocean-only model can either change or not with different resolution depending on the surface boundary conditions. All they mention is the fact that Fanning and Weaver (1997) do find dependence on the transport on model resolution in constrat to earlier studies, such as that of Boning and Budich (1992). They use this contradiction –but not its explanation– to motivate their work.
Their summary of the literature is good.
They mention in particular Bryan et al. (1999) that studies the parameterization of the bolus velocity in a realistic configuration.
Their surface boundary conditions:
“The sources of energy for the model ocean are the wind stress, acting at the surface, and thermal forcing, in the form of a relaxation to an apparent atmospheric temperature for the upper layer. Both components of the forcing are constant in time and vary only meridionally.”
In their idealized simulation, the eddies are important in the western boundary current, inconsistent with Bower et al. (2009) observations and realistic simulations.