@misc{becherer_saturation_of_2021, 
author={Becherer, J.,Moum, J.,Calantoni, J.,Colosi, J.,Barth, J.,Lerczak, J.,McSweeney, J.,MacKinnon, J.,Waterhouse, A.},
title={Saturation of the Internal Tide over the Inner Continental Shelf. Part II: Parameterization},
year={2021},
howpublished = {journal article},
doi = {https://doi.org/10.1175/JPO-D-21-0047.1},
abstract = {Here, we develop a framework for understanding the observations presented in Part I. In this framework, the internal tide saturates as it shoals as a result of amplitude limitation with decreasing water depth H. From this framework evolves estimates of averaged energetics of the internal tide; specifically, energy ⟨APE⟩, energy flux ⟨FE⟩, and energy flux divergence ∂x⟨FE⟩. Since we observe that dissipation ⟨D⟩ ≈ ∂x⟨FE⟩, we also interpret our estimate of ∂x⟨FE⟩ as ⟨D⟩. These estimates represent a parameterization of the energy in the internal tide as it saturates over the inner continental shelf. The parameterization depends solely on depth-mean stratification and bathymetry. A summary result is that the cross-shelf depth dependencies of ⟨APE⟩, ⟨FE⟩, and ∂x⟨FE⟩ are analogous to those for shoaling surface gravity waves in the surf zone, suggesting that the inner shelf is the surf zone for the internal tide. A test of our simple parameterization against a range of datasets suggests that it is broadly applicable.},
note = {Online available at: \url{https://doi.org/10.1175/JPO-D-21-0047.1} (DOI). Becherer, J.; Moum, J.; Calantoni, J.; Colosi, J.; Barth, J.; Lerczak, J.; McSweeney, J.; MacKinnon, J.; Waterhouse, A.: Saturation of the Internal Tide over the Inner Continental Shelf. Part II: Parameterization. Journal of Physical Oceanography. 2021. vol. 51, no. 8, 2565-2582. DOI: 10.1175/JPO-D-21-0047.1}}