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PDAFomi_assimilate_enkf_nondiagR
This page documents the routine PDAFomi_assimilate_enkf_nondiagR
of PDAF. The routine is used to execute the analysis step of the EnKF with PDAF-OMI for the case of a non-diagonal observation error covariance matrix. This routine was introduced with PDAF V2.3.
The routine is typically called in assimilate_pdaf
or directly in the model code.
The general aspects of the filter specific routines PDAFomi_assimilate_*
are described on the page Modification of the model code for the ensemble integration and its sub-page on inserting the analysis step. The routine is used in the fully-parallel implementation variant of the data assimilation system. When the 'flexible' implementation variant, the routine PDAFomi_put_state_enkf_nondiagR is used.
Here, we list the full interface of the routine.
The interface is:
SUBROUTINE PDAFomi_assimilate_enkf_nondiagR(U_collect_state, U_distribute_state, & U_init_dim_obs_pdafomi, U_obs_op_pdafomi, & U_add_obs_err_pdafomi, U_init_obscovar_pdafomi, & U_prepoststep, U_next_observation, status)
with the following arguments:
U_collect_state
: The name of the user-supplied routine that initializes a state vector from the array holding the ensemble of model states from the model fields. This is basically the inverse operation toU_distribute_state
used inPDAF_get_state
as well as here.U_distribute_state
: The name of a user supplied routine that initializes the model fields from the array holding the ensemble of model state vectors.U_init_dim_obs_pdafomi
: The name of the user-supplied routine that initializes the observation information and provides the size of observation vectorU_obs_op_pdafomi
: The name of the user-supplied routine that acts as the observation operator on some state vectorU_add_obs_err_pdafomi
: The name of the user-supplied routine that adds the observation error covariance matrix to the ensemble covariance matrix projected onto the observation space.U_init_obscovar_pdafomi
: The name of the user-supplied routine that initializes the observation error covariance matrix.U_add_obs_error_pdafomi
: The name of the user-supplied routine that computes the product of the inverse of the observation error covariance matrix with some matrix provided to the routine by PDAF.U_prepoststep
: The name of the pre/poststep routine as inPDAF_get_state
U_next_observation
: The name of a user supplied routine that initializes the variablesnsteps
,timenow
, anddoexit
. The same routine is also used inPDAF_get_state
.status
: The integer status flag. It is zero, if this routine is exited without errors.
Notes:
- The difference to the routine
PDAFomi_assimilate_global
used for diagdonal R-matrices is only in the additonal argumentsU_add_obs_err_pdafomi
andU_init_obscovar_pdafomi
. - The global filters ESTKF, ETKF, and SEIK use the separate routine PDAFomi_assimilate_global_nondiagR.
- The filters NETF and PF use the separate routine PDAFomi_assimilate_nonlin_nondiagR.
The user-supplied call-back routines are described on the page on implementing the analysis step of the global filters.
It is recommended that the value of status_pdaf
is checked in the program after this routine is executed. Only if its value is 0 the initialization was successful.
PDAF also has a Simplified Interface providing the routine PDAFomi_assimilate_enkf_nondiagR_si
. In the simplified interface, the name of the user-supplied routines have predefined names and do not appear in the call to PDAFomi_assimilate_enkf_nondiagR_si
. More information on the pre-defined names is provided in the page on implementing the analysis step of the global filters.