| 1 | = PDAFlocalomi_put_state_en3dvar_lestkf_nondiagR = |
| 2 | |
| 3 | This page documents the routine `PDAFlocalomi_put_state_en3dvar_lestkf_nondiagR` of PDAF which is used in 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 `PDAFomi_put_state_*` are used with the 'flexible' implementation variant of PDAF. |
| 8 | The general aspects of the filter specific routines `PDAFomi_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 `PDAFomi_assimilate_*` are used. |
| 9 | |
| 10 | |
| 11 | The interface is: |
| 12 | {{{ |
| 13 | SUBROUTINE PDAFlocalomi_put_state_en3dvar_lestkf_nondiagR(U_collect_state, & |
| 14 | U_init_dim_obs_pdafomi, U_obs_op_pdafomi, U_prodRinvA_pdafomi, & |
| 15 | U_cvt_ens, U_cvt_adj_ens, U_obs_op_lin_pdafomi, U_obs_op_adj_pdafomi, & |
| 16 | U_prodRinvA_l_pdafomi, U_init_n_domains_p, U_init_dim_l, & |
| 17 | U_init_dim_obs_l_pdafomi, & |
| 18 | U_prepoststep, outflag) |
| 19 | }}} |
| 20 | with the following arguments: |
| 21 | * `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`. |
| 22 | * `U_init_dim_obs_pdafomi`: The name of the user-supplied routine that initializes the observation information and provides the size of observation vector |
| 23 | * `U_obs_op_pdafomi`: The name of the user-supplied routine that acts as the observation operator on some state vector |
| 24 | * `U_prodRinvA_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. |
| 25 | * `U_cvt_ens`: The name of the user-supplied routine that applies the ensemble control-vector transformation (square-root of the B-matrix) on some control vector to obtain a state vector. |
| 26 | * `U_cvt_adj_ens]: The name of the user-supplied routine that applies the adjoint ensemble control-vector transformation (with square-root of the B-matrix) on some state vector to obtain the control vector. |
| 27 | * `U_obs_op_lin_pdafomi`: The name of the user-supplied routine that acts as the linearized observation operator on some state vector |
| 28 | * `U_obs_op_adj_pdafomi`: The name of the user-supplied routine that acts as the adjoint observation operator on some state vector |
| 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 including localization. |
| 30 | * `U_init_n_domains`: The name of the routine that provides the number of local analysis domains |
| 31 | * `U_init_dim_l`: The name of the routine that provides the state dimension for a local analysis domain |
| 32 | * `U_init_dim_obs_l_pdafomi`: The name of the routine that initializes the size of the observation vector for a local analysis domain |
| 33 | * `U_prepoststep`: The name of the pre/poststep routine as in `PDAF_get_state` |
| 34 | * `status`: The integer status flag. It is zero, if the routine is exited without errors. |
| 35 | |
| 36 | |
| 37 | The user-supplied call-back routines are described on the page on [wiki:ImplementAnalysis_3DEnVar implementing the analysis step of 3D Ensemble Var with OMI]. |
| 38 | |
| 39 | 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. |