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Variational data assimilation (4d Var.)

The prediction/correction cycle of the 4d Var. algorithm ...


The gradient (of the cost function, J with respect to the initial conditions) vector


The analytical expression for the 4d Var. gradient which has to be evaluated in the algorithm...


  • + Indirect observations (including ones with a non-linear forward model) can be used
  • + Efficient enough for global solution
  • + Dynamical consistency
  • + Can infer much knowledge about the system, including regions upstream of observations
  • + Can analyse growing structures
  • - Expensive to development and run
  • - Adjoint coding is needed