Changes between Version 4 and Version 5 of ImplementAnalysislenkfOmi_PDAF23


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Timestamp:
Jun 10, 2025, 2:11:29 PM (7 days ago)
Author:
lnerger
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  • ImplementAnalysislenkfOmi_PDAF23

    v4 v5  
    6161For completeness we discuss here all user-supplied routines that are specified in the interface to `PDAFomi_put_state_lenkf`. Thus, some of the user-supplied routines that are explained on the page explaining the modification of the model code for the ensemble integration are repeated here.
    6262
    63 The LEnKF implemented in PDAF follows the original LEnKF by Evensen (1994) including the correction for perturbed observations (Burgers et al. 1998). The LEnKF implemented in PDAF is reviewed by Nerger et al (2005) and described in more detail by Nerger (2004). The localization is covariance lozalization of PH^T and HPH^T as described in Houtekamer & Mitchell (2001) (See the [PublicationsandPresentations page on publications and presentations] for publications and presenations involving and about PDAF)
     63The LEnKF implemented in PDAF follows the original LEnKF by Evensen (1994) including the correction for perturbed observations (Burgers et al. 1998). The LEnKF implemented in PDAF is reviewed by Nerger et al (2005) and described in more detail by Nerger (2004). The localization is covariance lozalization of PH^T^ and HPH^T^ as described in Houtekamer & Mitchell (2001) (See the [PublicationsandPresentations page on publications and presentations] for publications and presenations involving and about PDAF)
    6464
    6565In our studies (Nerger et al. 2005, Nerger et al. 2007), the EnKF showed performance deficiencies compared to the SEIK filter. Due to this, we focused more on the SEIK filter, the ETKF and the ESTKF after these comparison studies. For real applications, we generally recommend using ESTKF or ETKF, or their local variants LESTKF or LETKF. However, the EnKF/LEnKF might have a good performance if very large ensemble can be used as this reduces the sampling errors.
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    6767== `PDAFomi_assimilate_lenkf` ==
    6868
    69 The general aspects of the filter specific routines `PDAF_assimilate_*` have been 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 is used, the routines `PDAF_put_state_*' is used as described further below. Here, we list the full interface of the routine. Subsequently, the user-supplied routines specified in the call is explained.
     69The general aspects of the filter specific routines `PDAF_assimilate_*` have been described on the page [wiki:ModifyModelforEnsembleIntegration_PDAF23 Modification of the model code for the ensemble integration] and its sub-page on [wiki:InsertAnalysisStep_PDAF23 inserting the analysis step]. The routine is used in the fully-parallel implementation variant of the data assimilation system. When the 'flexible' implementation variant is used, the routines `PDAF_put_state_*' is used as described further below. Here, we list the full interface of the routine. Subsequently, the user-supplied routines specified in the call is explained.
    7070
    7171The interface when using the LEnKF is the following:
    … …  
    8888== `PDAFomi_put_state_lenkf` ==
    8989
    90 When the 'flexible' implementation variant is chosen for the assimilation system, the routine `PDAFomi_put_state_lenkf` has to be used instead of `PDAFomi_assimilate_lenkf`. The general aspects of the filter specific routines `PDAF_put_state_*` have been described on the page [ModifyModelforEnsembleIntegration Modification of the model code for the ensemble integration]. The interface of the routine is identical with that of `PDAFomi_assimilate_lenkf` with the exception the specification of the user-supplied routines `U_distribute_state` and `U_next_observation` are missing.
     90When the 'flexible' implementation variant is chosen for the assimilation system, the routine `PDAFomi_put_state_lenkf` has to be used instead of `PDAFomi_assimilate_lenkf`. The general aspects of the filter specific routines `PDAF_put_state_*` have been described on the page [wiki:ModifyModelforEnsembleIntegration_PDAF23 Modification of the model code for the ensemble integration]. The interface of the routine is identical with that of `PDAFomi_assimilate_lenkf` with the exception the specification of the user-supplied routines `U_distribute_state` and `U_next_observation` are missing.
    9191
    9292The interface when using the LEnKF is the following:
    … …  
    101101== User-supplied routines ==
    102102
    103 Here all user-supplied routines are described that are required in the call to `PDAFomi_assimilate_lenkf`. For some of the generic routines, we link to the page on [ModifyModelforEnsembleIntegration modifying the model code for the ensemble integration].
     103Here all user-supplied routines are described that are required in the call to `PDAFomi_assimilate_lenkf`. For some of the generic routines, we link to the page on [wiki:ModifyModelforEnsembleIntegration_PDAF23 modifying the model code for the ensemble integration].
    104104
    105105To indicate user-supplied routines we use the prefix `U_`. In the tutorials in `tutorial/` and in the template directory `templates/` these routines exist without the prefix, but with the extension `_pdaf`. The files are named correspondingly. In the section titles below we provide the name of the template file in parentheses.
    … …  
    112112This routine is independent of the filter algorithm used.
    113113
    114 See the page on [InsertAnalysisStep#U_collect_statecollect_state_pdaf.F90 inserting the analysis step] for the description of this routine.
     114See the page on [wiki:InsertAnalysisStep_PDAF23#U_collect_statecollect_state_pdaf.F90 inserting the analysis step] for the description of this routine.
    115115
    116116
    … …  
    119119This routine is independent of the filter algorithm used.
    120120
    121 See the page on [InsertAnalysisStep#U_distribute_statedistribute_state_pdaf.F90 inserting the analysis step] for the description of this routine.
     121See the page on [wiki:InsertAnalysisStep_PDAF23#U_distribute_statedistribute_state_pdaf.F90 inserting the analysis step] for the description of this routine.
    122122
    123123
    … …  
    126126This is a call-back routine for PDAF-OMI initializing the observation information. The routine just calls a routine from the observation module for each observation type.
    127127
    128 See the [wiki:OMI_Callback_obs_pdafomi documentation on callback_obs_pdafomi.F90] for more information.
     128See the [wiki:OMI_Callback_obs_pdafomi_PDAF23 documentation on callback_obs_pdafomi.F90] for more information.
    129129
    130130
    … …  
    134134This is a call-back routine for PDAF-OMI applying the observation operator to the state vector. The routine calls a routine from the observation module for each observation type.
    135135
    136 See the [wiki:OMI_Callback_obs_pdafomi documentation on callback_obs_pdafomi.F90] for more information.
     136See the [wiki:OMI_Callback_obs_pdafomi_PDAF23 documentation on callback_obs_pdafomi.F90] for more information.
    137137
    138138
    … …  
    141141The routine has already been described for modifying the model for the ensemble integration and for inserting the analysis step.
    142142
    143 See the page on [InsertAnalysisStep#U_prepoststepprepoststep_ens_pdaf.F90 inserting the analysis step] for the description of this routine.
     143See the page on [wiki:InsertAnalysisStep_PDAF23#U_prepoststepprepoststep_ens_pdaf.F90 inserting the analysis step] for the description of this routine.
    144144
    145145
    … …  
    150150This is a call-back routine for PDAF-OMI. It applies covariance localization in the LEnKF to the matrices PH^T^ and HPH^T^, which are intermediate results of the EnKF. The routine calls a routine from the observation module for each observation type.
    151151
    152 See the [wiki:OMI_Callback_obs_pdafomi documentation on callback_obs_pdafomi.F90] for more information.
     152See the [wiki:OMI_Callback_obs_pdafomi_PDAF23 documentation on callback_obs_pdafomi.F90] for more information.
    153153
    154154
    … …  
    157157This routine is independent of the filter algorithm used.
    158158
    159 See the page on [InsertAnalysisStep#U_next_observationnext_observation_pdaf.F90 inserting the analysis step] for the description of this routine.
     159See the page on [wiki:InsertAnalysisStep_PDAF23#U_next_observationnext_observation_pdaf.F90 inserting the analysis step] for the description of this routine.
    160160
    161161