Experimental approach

The same approach has been used for all the numerical experiments. This approach consists of performing twin experiments with simulated data. First, a reference experiment is run and the corresponding data are extracted. From now on this reference trajectory will be called the exact solution. Experimental data are supposed to be obtained every gridpoints of the model, and every time steps. The simulated data are then optionally noised with a Gaussian white noise distribution, and provided as observations to the assimilation scheme.

The first guess of the assimilation experiments is chosen to be either a constant field or the reference model state some time before the beginning of the assimilation period. Finally, the results of the assimilation process are compared with the exact solution.