A method for the assimilation of Lagrangian data

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Discrete ocean model

Observations

"Extended Kalman Filter"

Ocean vs Atmosphere

Lagrangian information

Methodology

Point vortex systems

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Two point vortices

 Simple example: N=1, L=1

Two vortices, N=2, one tracer, L=1

Two vortices, N=2, one tracer, L=1

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Assessment of method

N=2, L=1 (Ne =100 noise realizations)

Ensembles of different system noise realizations, N=2, L=1

 Divergence of the filter

Ocean           Atmosphere

 Dependence on initial tracer location

Vortices of different strength

Four vortices,  N=4

 N=4, L=2

Comparison with assimilation of velocity

Conclusions