Time-dependent assimilation of CTD data to an open ocean Rossby wave model
Gunson, James R.
MetadataShow full item record
For two CTD surveys taken two months apart during the 1981 Ocean Tomography experiment southwest of Bermuda, a time-dependent ocean state is estimated that evolves from the first to the second survey. The mesoscale motions are modelled by quasi-geostrophic dynamics, and the ocean model state is represented by freely propagating Rossby waves in the 1st and 2nd baroclinic modes whose time-dependent amplitudes are fit to the data at the two survey times. First the linear dispersion relation is used to evolve the waves in time, then the weak nonlinear interactions between the waves are incorporated into the model. The wave-wave interactions enable the waves in the barotropic mode to enter into the model state evolution as an unknown control variable. Three techniques from optimal control theory are developed and applied to this problem: the Kalman filter / smoother, the adjoint method and dynamic programming. These methods allow the barotropic component of the flow, which is indeterminate from the CTD data, to be estimated.
Submitted in partial fulfillment of the requirements for the degree of Master of Science at the Massachusetts Institute of Technology and the Woods Hole Oceanographic Institution March 1993
Showing items related by title, author, creator and subject.
Estimation of planetary wave parameters from the data of the 1981 ocean acoustic tomography experiment Chiu, Ching-Sang (Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, 1985-08)Using the maximum-likelihood estimation method and minimization techniques, quasi-geostrophic wave solutions were fitted to the observations of the 1981 Ocean Acoustic Tomography Experiment. The experiment occupied a ...
Atherton, Juli (Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, 2002-02)The linear and nonlinear Rossby wave solutions are examined in homogeneous square basins on the ß-plane both with and without a thin meridional barrier In the presence of the meridional barrier the basin is almost ...
LaCasce, Joseph H. (Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, 1996-09)Nonlinear quasigeostrophic flows in two layers over a topographic slope are considered. The evolution depends on the size of two parameters which indicate the degree of nonlinearity at depth. The first measures the ...