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Implementation of the Analysis Step for the Local Filters with OMI
Implementation Guide
 Main page
 Adaptation of the parallelization
 Initialization of PDAF
 Modifications for ensemble integration
 Implementation of the analysis step
 General overview for ensemble filters
 Implementation for Global Filters
 Implementation for Local Filters
 Implementation for LEnKF
 General overview for 3DVar methods
 PDAFOMI Overview
 Memory and timing information
 Ensemble Generation
 Diagnostics
Contents of this page
 Overview

PDAFlocalomi_assimilate_local

PDAFlocalomi_put_state_local

Usersupplied routines

U_collect_state
(collect_state_pdaf.F90) 
U_distribute_state
(distribute_state_pdaf.F90) 
U_init_dim_obs_pdafomi
(callback_obs_pdafomi.F90) 
U_obs_op_pdafomi
(callback_obs_pdafomi.F90) 
U_prepoststep
(prepoststep_ens_pdaf.F90) 
U_init_n_domains
(init_n_domains_pdaf.F90) 
U_init_dim_l
(init_dim_l_pdaf.F90) 
U_init_dim_obs_l_pdafomi
(callback_obs_pdafomi.F90) 
U_next_observation
(next_observation_pdaf.F90)

 Execution order of usersupplied routines
Overview
This page describes the recommended implementation of the analysis step of local filters with OMI using the PDAFlocal interface that was introduced with PDAF V2.3. The older approach calling PDAFomi_assimilate_local or PDAFomi_put_state_local is documented on the page on Implementing the Analysis Step for the Local Filters with OMI without PDAFlocal (until V2.2.1 of PDAF).
PDAFOMI provides generic routines for the analysis step, which only distinguish global and local filters. This page describes the implementation of the analysis step for domainlocal filters (LESTKF, LETKF, LNETF, LSEIK).
For the analysis step of the local filters we need different operations related to the observations. These operations are requested by PDAF by callback routines supplied by the user and provided in the OMI structure. The names of the routines that are provided by the user are specified in the call to the routine PDAFomi_assimilate_local
in the fullyparallel implementation (or PDAFomi_put_state_local
for the 'flexible' implementation) that was discussed before. With regard to the parallelization, all these routines (except U_collect_state
, U_distribute_state
, and U_next_observation
) are executed by the filter processes (filterpe=.true.
) only.
For completeness we discuss here all usersupplied routines that are specified in the interface to PDAFomi_assimilate_local
. Many of the routines are identical to those used for the global filters. Hence, when the usersupplied routines for the global filters have been already implemented, one can base on these routines to speed up the implementation. Due to this, it can also be reasonable to first fully implement a global filter version and subsequently implement the corresponding localized filter by modifying and extending the global routines.
PDAFlocalomi_assimilate_local
The general aspects of the filterspecific routines PDAF_assimilate_*
have been described on the page Modification of the model code for the ensemble integration and its subpage on inserting the analysis step. The routine is used in the fullyparallel 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.
The interface for the routine PDAFomi_assimilate_local
contains names for routines that operate on the local analysis domains (marked by the suffix _l
). Further there are routines that convert between a local and a global model state vector (U_g2l_state
and U_l2g_state
).
Here, we list the full interface of the routine. Subsequently, the usersupplied routines specified in the call is explained.
The interface when using one of the local filters is the following:
SUBROUTINE PDAFlocalomi_assimilate_local(U_collect_state, U_distribute_state, & U_init_dim_obs_pdafomi, U_obs_op_pdafomi, & U_prepoststep, U_init_n_domains, U_init_dim_l, & U_init_dim_obs_l_pdafomi, & U_next_observation, status)
with the following arguments:
 U_collect_state: The name of the usersupplied 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 usersupplied routine that initializes the observation information and provides the size of observation vector
 U_obs_op_pdafomi: The name of the usersupplied routine that acts as the observation operator on some state vector
 U_prepoststep: The name of the pre/poststep routine as in
PDAF_get_state
 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 routine that provides the state dimension for a local analysis domain
 U_init_dim_obs_l_pdafomi: The name of the routine that initializes the size of the observation vector for a local analysis domain and the index arrays used to map between the global state vector and the local state vector.
 U_next_observation: The name of a user supplied routine that initializes the variables
nsteps
,timenow
, anddoexit
. The same routine is also used inPDAF_get_state
. status
: The integer status flag. It is zero, ifPDAFomi_assimilate_local
is exited without errors.
Note:
 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 at the bottom of this page.
 If your code shows a call to
PDAFomi_assimilate_local
, it uses the implementation variant without PDAFlocal. This is documented on the page on Implementing the Analysis Step for the Local Filters with OMI without PDAFlocal (until V2.2.1 of PDAF).
PDAFlocalomi_put_state_local
When the 'flexible' implementation variant is chosen for the assimilation system, the routine PDAFomi_put_state_local
has to be used instead of PDAFomi_assimilate_local
. The general aspects of the filter specific routines PDAF_put_state_*
have been described on the page Modification of the model code for the ensemble integration. The interface of the routine is identical with that of PDAFomi_assimilate_local
with the exception the specification of the usersupplied routines U_distribute_state
and U_next_observation
are missing.
The interface when using one of the local filters is the following:
SUBROUTINE PDAFlocalomi_put_state_local(U_collect_state, & U_init_dim_obs_pdafomi, U_obs_op_pdafomi, & U_prepoststep, U_init_n_domains, U_init_dim_l, & U_init_dim_obs_l_pdafomi, & status)
 If your code shows a call to
PDAFomi_put_state_local
, it uses the implementation variant without PDAFlocal. This is documented on the page on Implementing the Analysis Step for the Local Filters with OMI without PDAFlocal (until V2.2.1 of PDAF).
Usersupplied routines
Here, all usersupplied routines are described that are required in the call to PDAFomi_assimilate_local
or PDAFomi_put_state_local
. For some of the generic routines, we link to the page on modifying the model code for the ensemble integration.
To indicate usersupplied 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. The userroutines relating to OMI are collected in the file callback_obs_pdafomi.F90. In the section titles below we provide the name of the template file in parentheses.
In the subroutine interfaces some variables appear with the suffix _p
(short for 'process'). This suffix indicates that the variable is particular to a model subdomain, if a domain decomposed model is used. In addition, there will be variables with suffix _l
(indicating 'local').
U_collect_state
(collect_state_pdaf.F90)
This routine is independent of the filter algorithm used.
See the page on inserting the analysis step for the description of this routine.
U_distribute_state
(distribute_state_pdaf.F90)
This routine is independent of the filter algorithm used.
See the page on inserting the analysis step for the description of this routine.
U_init_dim_obs_pdafomi
(callback_obs_pdafomi.F90)
This is a callback routine for PDAFOMI initializing the observation information. The routine just calls a routine from the observation module for each observation type.
See the documentation on callback_obs_pdafomi.F90 for more information.
U_obs_op_pdafomi
(callback_obs_pdafomi.F90)
This is a callback routine for PDAFOMI applying the observation operator to the state vector. The routine calls a routine from the observation module for each observation type.
See the documentation on callback_obs_pdafomi.F90 for more information.
U_prepoststep
(prepoststep_ens_pdaf.F90)
The routine has already been described for modifying the model for the ensemble integration and for inserting the analysis step.
See the page on inserting the analysis step for the description of this routine.
U_init_n_domains
(init_n_domains_pdaf.F90)
The interface for this routine is:
SUBROUTINE init_n_domains(step, n_domains_p) INTEGER, INTENT(in) :: step ! Current time step INTEGER, INTENT(out) :: n_domains_p ! Number of analysis domains for local model subdomain
The routine is called during the analysis step before the loop over the local analysis domains is entered. It has to provide the number of local analysis domains. In case of a domaindecomposed model the number of local analysis domain for the model subdomain of the calling process has to be initialized.
Hints:
 As a simple case, if the localization is only performed horizontally, the local analysis domains can be single vertical columns of the model grid. In this case,
n_domains_p
is simply the number of vertical columns in the local model subdomain.
U_init_dim_l
(init_dim_l_pdaf.F90)
The interface for this routine is:
SUBROUTINE init_dim_l(step, domain_p, dim_l) INTEGER, INTENT(in) :: step ! Current time step INTEGER, INTENT(in) :: domain_p ! Current local analysis domain INTEGER, INTENT(out) :: dim_l ! Local state dimension
The routine is called during the loop over the local analysis domains in the analysis step.
For PDAF it has to provide in dim_l
the dimension of the state vector for the local analysis domain with index domain_p
.
In addition, for PDAFlocal the routine has to provide the index array containing the indices of the elements of the local state vector in the global (or domaindecomposed) state vector to PDAFlocal by calling PDAFlocal_set_indices'. (in the template files, this array is called
id_lstate_in_pstate`)
Hints:
 For sharing through the module
mod_assimilation
, we further initialize an arraycoords_l
containing the coordinates that describe the local domain. These coordinates have to describe one location in space that is used in the OMI observation modules to compute the distance from observations.
 The coordinates in
coords_l
have the same units as those used for the observations  For geographic distance computations, the unit of the coordinates needs to be radian, thus (0, 2*pi) or (pi,pi) for longitude and (pi/2, pi/2) for latitude.
 Any form of local domain is possible as long as it can be describe as a single location.
 If the local domain is a single grid point,
dim_l
will be the number of model variables at this grid point.  The local analysis domain can also be a single vertical column of the model grid if observations are only horizontally distributed (a common situation with satellite data in the ocean).
 In this case,
dim_l
will be the number of vertical grid points at this location times the number of model fields that exist in the vertical, plus possible variables at e.g. the surface.  In this case only the horizontal coordinates are used in
coords_l
.
 In this case,
 If the local domain is a single grid point,
The index array id_lstate_in_pstate
is an integer array in form of a onedimensional vector. One initializes this vector by determining the indices of the elements of the local state vector in the global, or domain decomposed, state vector. After initializing id_lstate_in_pstate
, one has to provided it to PDAFlocal by calling `PDAFlocal_set_indices'. The interface interface is:
SUBROUTINE PDAFlocal_set_indices(dim_l, id_lstate_in_pstate) INTEGER, INTENT(in) :: dim_l ! Dimension of local state vector INTEGER, INTENT(in) :: id_lstate_in_pstate(dim_l) ! Index array for mapping
Hint for id_lstate_in_pstate
:
 The initialization of the index vector
map
is analogous to a loop that directly performs the initialization of a local state vector. However, here only the indices are stored.  See the PDAFlocal overview page for more information on the functionality of PDAFlocal.
U_init_dim_obs_l_pdafomi
(callback_obs_pdafomi.F90)
This is a callback routine for PDAFOMI that initializes the local observation vector. The routine calls a routine from the observation module for each observation type.
See the documentation on callback_obs_pdafomi.F90 for more information.
U_next_observation
(next_observation_pdaf.F90)
This routine is independent of the filter algorithm used.
See the page on inserting the analysis step for the description of this routine.
Execution order of usersupplied routines
The usersupplied routines are executed in the order listed below. The order can be important as some routines can perform preparatory work for routines executed later on during the analysis. For example, U_init_dim_l
can prepare an index array that provides the information how to localize a global state vector. Some hints one the efficient implementation strategy are given with the descriptions of the routine interfaces above.
Before the analysis step is called the following is executed:
 U_collect_state (called once for each ensemble member)
When the ensemble integration of the forecast is completed, the analysis step is executed. Before the loop over all local analysis domains, the following routines are executed:
 U_prepoststep (Call to act on the forecast ensemble, called with negative value of the time step)
 U_init_n_domains
 U_init_dim_obs_pdafomi
 U_obs_op_pdafomi (Called
dim_ens
times; once for each ensemble member)
In the loop over all local analysis domains, it is executed for each local analysis domain:
After the loop over all local analysis domains, it is executed:
 U_prepoststep (Call to act on the analysis ensemble, called with (positive) value of the time step)
In case of the routine PDAFomi_assimilate_local
, the following routines are executed after the analysis step: