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On stratification, barotropic tides, and secular changes in surface tidal elevations: Two-layer analytical model

2013/11/25 by Alfredo N. Wetzel, Wetzel, Alfredo N., Brian K. Arbic +13
Earth and Planetary Sciences · Environmental Science · Physics and Astronomy · #Atmospheric and Oceanic Physics (physics.ao-ph) #Climate variability and models #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geophysics (physics.geo-ph) #Marine and coastal ecosystems #Oceanographic and Atmospheric Processes #Tropical and Extratropical Cyclones Research #physics.ao-ph #physics.flu-dyn #physics.geo-ph

paper · pdf · doi:10.48550/arxiv.1311.6349

41 Pages, 10 Figures. Revised abstract, introduction, and discussion. Submitted to the Journal of Physical Oceanography

openalex publication_date 2013/11/25 · arxiv created 2014/07/02 · arxiv updated 2014/07/08 · openalex created_date 2022/08/31 · openalex updated_date 2026/07/28

Abstract

In this study the influence of stratification on surface tidal elevations in a two-layer analytical model is examined. The model assumes linearized, non-rotating, shallow-water dynamics in one dimension with astronomical forcing and allows for arbitrary topography. Using a natural modal separation, both large scale (barotropic) and small scale (baroclinic) components of the surface tidal elevation are shown to be comparably affected by stratification. It is also shown that the topography and basin boundaries affect the sensitivity of the barotropic surface tide to stratification significantly. This paper, therefore, provides a framework to understand how the presence of stratification impacts barotropic as well as baroclinic tides, and how climatic perturbations to oceanic stratification contribute to secular variations in tides. Results from a realistic-domain global numerical two-layer tide model are briefly examined and found to be qualitatively consistent with the analytical model results.

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