Abstract:
New method of data assimilation for the correction of model computations is developed and applied.
The method is based on the path of least resistance principle and uses the theory of diffusion
stochastic processes and stochastic differential equations. Derived from this principle the
system of linear equations is needed to be solved to apply this method. This system may be considered as a generalization of the known Kalman scheme when dynamics of the model is taken
into account.
The method is applied to numerical experiments in conjunction with model circulation HYCOM
and satellite sea level observational data from archive AVISO for Atlantic. The skill of the
method is assessed using the results of the experiments. The model output is compared with twin
experiments, namely the model calculation without assimilation and one comes to the conclusion
that the proposed method is consistent and robust.
Keywords:data assimilation methods, path of least resistance principle, ocean dynamics models.