Generalized inverse with shipboard current measurements: Tidal and nontidal flows in Long Island Sound

摘要

A simple linear shallow-water model forced by tidal boundary conditions can capture most of the tide height variability in Long Island Sound. In this sense, the tides are easy to model. The modeled tidal currents can be subtracted from measurements in order to obtain estimates of subtidal circulation. But linear shallow-water dynamics is not accurate enough for this purpose. Allowing for dynamical errors with a generalized inverse model leads to improved estimates of tidal and nontidal flow. The analysis provides expected errors for the prior (before inversion) and posterior (after inversion) tidal velocity field.