Changes between Initial Version and Version 1 of PDAFomi_assimilate_en3dvar_lestkf_nondiagR


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Timestamp:
Sep 8, 2024, 3:41:41 PM (2 months ago)
Author:
lnerger
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  • PDAFomi_assimilate_en3dvar_lestkf_nondiagR

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     1= PDAFomi_assimilate_en3dvar_lestkf_nondiagR =
     2
     3This page documents the routine `PDAFomi_assimilate_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
     5The routine is typically called in `assimilate_pdaf` or directly in the model code.
     6
     7The general aspects of the filter specific routines `PDAF_assimilate_*` 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]. The routine is used in the fully-parallel implementation variant of the data assimilation system. When the 'flexible' implementation variant, the routines `PDAF_put_state_*' are used.
     8
     9
     10The interface is:
     11{{{
     12SUBROUTINE PDAFomi_assimilate_en3dvar_lestkf-nondiagR(U_collect_state, U_distribute_state, &
     13                                 U_init_dim_obs_pdafomi, U_obs_op_pdafomi, U_prodRinvA_pdafomi, &
     14                                 U_cvt_ens, U_cvt_adj_ens, U_obs_op_lin_pdafomi, U_obs_op_adj_pdafomi, &
     15                                 U_init_n_domains_p, U_init_dim_l, U_init_dim_obs_l_pdafomi, &
     16                                 U_prodRinvA_l_pdafomi, U_g2l_state, U_l2g_state, &
     17                                 U_prepoststep, U_next_observation, outflag)
     18}}}
     19with the following arguments:
     20 * `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` as well as here.
     21 * `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.
     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_init_n_domains`: The name of the routine that provides the number of local analysis domains
     30 * `U_init_dim_l`: The name of the routine that provides the state dimension for a local analysis domain
     31 * `U_init_dim_obs_l_pdafomi`: The name of the routine that initializes the size of the observation vector for a local analysis domain
     32 * `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.
     33 * `U_g2l_state`: The name of the routine that initializes a local state vector from the global state vector
     34 * `U_l2g_state`: The name of the routine that initializes the corresponding part of the global state vector from the provided local state vector
     35 * `U_prepoststep`: The name of the pre/poststep routine as in `PDAF_get_state`
     36 * `U_next_observation`: The name of a user supplied routine that initializes the variables `nsteps`, `timenow`, and `doexit`. The same routine is also used in `PDAF_get_state`.
     37 * `status`: The integer status flag. It is zero, if the routine is exited without errors.
     38
     39
     40The user-supplied call-back routines are described on the page on [wiki:ImplementAnalysis_3DEnVar implementing the analysis step of 3D Ensemble Var with OMI].
     41
     42It 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.