The use of the data assimilation technique to identify optimal topography is discussed in frames of time-dependent motion governed by nonlinear barotropic ocean model. Assimilation of artificially generated data allows to measure the influence of various error sources and to classify the impact of noise that is present in observational data and model parameters. The choice of length of the assimilation window in 4DVar is discussed. It is shown that using longer window lengths would provide more accurate ocean topography. The topography defined using this technique can be further used in other model runs that start from other initial conditions and are situated in other parts of the model's attractor.
Eugene Kazantsev. "Identification of optimal topography of the barotropic ocean model in the North Atlantic by variational data assimilation." J. Phys. Math. 1 1 - 23, December 2009. https://doi.org/10.4303/jpm/S090702