| | 1 | = PDAFlocalomi_put_state_nondiagR = |
| | 2 | |
| | 3 | This page documents the routine `PDAFlocalomi_put_state_nondiagR` of PDAF. The routine is used to execute the analysis step of the local ensemble filters LESTKF, LETKF and LSEIK with PDAF-OMI for the case of a non-diagonal observation error covariance matrix. This routine was introduced with PDAF V2.3. |
| | 4 | |
| | 5 | The routine is typically called in `assimilate_pdaf` or directly in the model code. |
| | 6 | |
| | 7 | The routines `PDAFlocalomi_put_state_*` are used with the 'flexible' implementation variant of PDAF. |
| | 8 | The general aspects of the filter specific routines `PDAFlocalomi_put_state_*` are described on the page [ModifyModelforEnsembleIntegration Modification of the model code for the ensemble integration] and its sub-page on [InsertAnalysisStep inserting the analysis step]. For the 'fully parallel' implementation variant the alternative routines `PDAF_assimilate_*` are used. |
| | 9 | |
| | 10 | The interface for the routine `PDAFlocalomi_put_state_local_nondiagR` contains names for routines that operate on the local analysis domains (marked by the suffix `_l`). |
| | 11 | Here, we list the full interface of the routine. Subsequently, the user-supplied routines specified in the call is explained. |
| | 12 | |
| | 13 | The interface when using one of the local filters is the following: |
| | 14 | {{{ |
| | 15 | SUBROUTINE PDAFlocalomi_put_state_local_nondiagR(U_collect_state, & |
| | 16 | U_init_dim_obs_pdafomi, U_obs_op_pdafomi, & |
| | 17 | U_prepoststep, U_init_n_domains, U_init_dim_l, & |
| | 18 | U_init_dim_obs_l_pdafomi, U_prodRinvA_l_pdafomi, & |
| | 19 | status) |
| | 20 | }}} |
| | 21 | with the following arguments: |
| | 22 | * `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 [ModifyModelforEnsembleIntegration#PDAF_get_state PDAF_get_state] and also here. |
| | 23 | * `U_init_dim_obs_pdafomi`: The name of the user-supplied routine that initializes the observation information and provides the size of observation vector |
| | 24 | * `U_obs_op_pdafomi`: The name of the user-supplied routine that acts as the observation operator on some state vector |
| | 25 | * `U_prepoststep`: The name of the pre/poststep routine as in `PDAF_get_state` |
| | 26 | * `U_init_n_domains`: The name of the routine that provides the number of local analysis domains |
| | 27 | * `U_init_dim_l`: The name of the routine that provides the state dimension for a local analysis domain |
| | 28 | * `U_init_dim_obs_l_pdafomi`: The name of the routine that initializes the size of the observation vector for a local analysis domain |
| | 29 | * `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. |
| | 30 | * `status`: The integer status flag. It is zero, if this routine is exited without errors. |
| | 31 | |
| | 32 | Notes: |
| | 33 | * The order of the routine names does not show the order in which these routines are executed. See the [ImplementAnalysisLocal#Executionorderofuser-suppliedroutines section on the order of the execution] on the page on implementing the analysis step of the local filter algorithms. |
| | 34 | * The difference to the routine `PDAFlocalomi_put_state_local` used for diagdonal R-matrices is only in the additonal argument `U_prodRinvA_l_pdafomi`. |
| | 35 | * The filter LNETF uses the separate routine [wiki:PDAFlocalomi_put_state_lnetf_nondiagR]. |
| | 36 | * The filter LKNETF uses the separate routine [wiki:PDAFlocalomi_put_state_lknetf_nondiagR] |
| | 37 | |
| | 38 | The user-supplied call-back routines are described on the page on [ImplementAnalysisLocal implementing the analysis step of the local filters]. |
| | 39 | |
| | 40 | 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. |
| | 41 | |
| | 42 | PDAF also has a [PdafSimplifiedInterface Simplified Interface] providing the routine `PDAFlocalomi_put_state_nondiagR_si`. In the simplified interface, the name of the user-supplied routines have predefined names and do not appear in the call to `PDAFlocalomi_put_state_nondiagR_si`. More information on the pre-defined names is provided in the [ImplementAnalysisLocal page on implementing the analysis step of the local filters]. |
| | 43 | |
