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Data assimilation and multigrid methods: Application

Task 4a, principal invertigator: LJK/MOISE.

Realistic experiments with the european NEMO ocean model are planned. The objective is also here to applied local multigrid methods with increased resolution in specific areas. An important first step is in the development of background error covariance matrices that take properly into account interactions between coarse and high resolution grids. In practice, the correlations are computed using the generalized diffusion approach. The correlations are thus obtained using a fully two-way integration of the diffusion equation.

Free surface increment of a 3DVAR algorithm using a multiresolution background error covariance matrix.