PDAF3_assimilate_local_nondiagR

This page documents the routine PDAF3_assimilate_local_nondiagR. The routine is part of the advanced PDAF3 interface that was introduced with PDAF V3.0.

The routine is used to execute the analysis step of the local ensemble filters LESTKF, LETKF and LSEIK for the case of a non-diagonal observation error covariance matrix.

The routine is typically called in assimilate_pdaf or directly in the model code.

The general aspects of the filter specific routines PDAF3_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 both the fully-parallel and the flexible parallelization variant of the data assimilation system.

The interface for the routine contains names for routines that operate on the local analysis domains (marked by the suffix _l).

Here, we list the full interface of the routine.

The interface when using one of the local filters (PDAF_localfilter()=1) is:

  SUBROUTINE PDAF3_assimilate_local_nondiagR(U_collect_state, U_distribute_state, &
             U_init_dim_obs_pdafomi, U_obs_op_pdafomi, &
             U_init_n_domains, U_init_dim_l, U_init_dim_obs_l_pdafomi, U_prodRinvA_l_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 to U_distribute_state used in PDAF_get_state and also 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 vector. This routine is part of an OMI observation module.
• U_obs_op_pdafomi:
  The name of the user-supplied routine that acts as the observation operator on some state vector. This routine is part of an OMI observation module.
• U_init_n_domains:
  The name of the routine that provides the number of local analysis domains
• U_init_dim_l:
  The name of the user-supplied routine that provides the state dimension for a local analysis domain
• U_init_dim_obs_l_pdafomi:
  The name of the user-supplied routine that initializes the size of the observation vector for a local analysis domain. This routine is part of an OMI observation module.
• U_prodRinvA_l_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. This routine is part of an OMI observation module.
• U_prepoststep:
  The name of the user-supplied pre/poststep routine as in PDAF_get_state
• U_next_observation:
  The name of the user-supplied routine that initializes the variables nsteps, timenow, and doexit. The same routine is also used in PDAF_get_state.
• status:
  The integer status flag. It is zero, if the routine is exited without errors.

Notes:

• The order of the routine names does not show the order in which these routines are executed. See the section on the order of the execution on the page on implementing the analysis step of the local filter algorithms.
• The difference to the routine PDAF3_assimilate_local used for diagonal R-matrices is only in the additonal argument U_prodRinvA_l_pdafomi.
• The filter LNETF uses the separate routine PDAFlocalomi_assimilate_lnetf_nondiagR.
• The filter LKNETF uses the separate routine PDAFlocalomi_assimilate_lknetf_nondiagR
• It is recommended that the value of status_pdaf is checked in the program after the routine is executed. Only if its value is 0 the initialization was successful.

The user-supplied call-back routines are described on the page on implementing the analysis step of the local filters.