28 | | Local ensemble filters: |
29 | | * LETKF (Hunt et al., 2007) |
30 | | * LESTKF (Local Error Subspace Transform Kalman Filter, Nerger et al., 2012, [PublicationsandPresentations see publications]) |
31 | | * LEnKF (classical EnKF with covariance localization) |
32 | | * LNETF (localized Nonlinear Ensemble Transform Filter by Toedter and Ahrens (2015)) |
33 | | * LSEIK (Nerger et al., 2006) |
34 | | * LKNETF (Local Kalman-nonlinear Ensemble Transform Filter, Nerger, 2022, [PublicationsandPresentations see publications], added in PDAF V2.1) |
| 28 | **Local ensemble filters:** |
| 29 | * **LETKF** (Hunt et al., 2007) |
| 30 | * **LESTKF** (Local Error Subspace Transform Kalman Filter, Nerger et al., 2012, [PublicationsandPresentations see publications]) |
| 31 | * **LEnKF** (classical EnKF with perturbed observations by Evensen (1994), Burgers et al. (1998) with covariance localization) |
| 32 | * **LNETF** (localized Nonlinear Ensemble Transform Filter by Toedter and Ahrens (2015)) |
| 33 | * **LSEIK** (Nerger et al., 2006) |
| 34 | * **LKNETF** (Local Kalman-nonlinear Ensemble Transform Filter, Nerger, 2022, [PublicationsandPresentations see publications], added in PDAF V2.1) |
| 35 | * **EnSRF** (Ensemble square-root filter using serial observation processing and covariance localization) by J. Whitaker and T. Hamill, Mon. Wea. Rev., 2002 |
| 36 | * **EAKF** (Ensemble Adjustment Filter using serial observation processing and covariance localization) by J. Anderson, Mon. Wea. Rev., 2003 |
36 | | Global ensemble filters: |
37 | | * ESTKF (Error Subspace Transform Kalman Filter, Nerger et al., 2012, [PublicationsandPresentations see publications]) |
38 | | * ETKF (The implementation follows Hunt et al. (2007) but without localization, which is available in the LETKF implementation) |
39 | | * EnKF (The classical formulation with perturbed observations by Evensen (1994), Burgers et al. (1998)) |
40 | | * SEEK (The original formulation by Pham et al. (1998)) |
41 | | * SEIK (Pham et al. (1998a, 2001), the implemented variant is described in more detail by Nerger et al. (2005)) |
42 | | * NETF (Nonlinear Ensemble Transform Filter by Toedter and Ahrens (2015)) |
43 | | * PF (Particle filter with resampling) |
| 38 | **Global ensemble filters:** |
| 39 | * **ESTKF** (Error Subspace Transform Kalman Filter, Nerger et al., 2012, [PublicationsandPresentations see publications]) |
| 40 | * **ETKF** (The implementation follows Hunt et al. (2007) but without localization, which is available in the LETKF implementation) |
| 41 | * **EnKF** (The classical formulation with perturbed observations by Evensen (1994), Burgers et al. (1998)) |
| 42 | * **SEIK** (Pham et al. (1998a, 2001), the implemented variant is described in more detail by Nerger et al. (2005)) |
| 43 | * **NETF** (Nonlinear Ensemble Transform Filter by Toedter and Ahrens (2015)) |
| 44 | * **PF** (Particle filter with resampling, see, e.g., Vetra-Carvalho et al. 2018) |
53 | | Starting from Version 2.0 of PDAF, 3D variational methods are also provided. The 3D-Var methods are implemented in incremental form using a control vector transformation (following the review by R. Bannister, Q. J. Roy. Meteorol. Soc., 2017) in three different variants: |
54 | | * 3D-Var - 3D-Var with parameterized covariance matrix |
55 | | * 3DEnVar - 3D-Var using ensemble covariance matrix. The ensemble perturbations are updated with either the LESTKF and ESTKF filters |
56 | | * Hyb3DVar - Hybrid 3D-Var using a combination of parameterized and ensemble covariance matrix. The ensemble perturbations are updated with either the LESTKF and ESTKF filters |
| 54 | 3D variational methods are provided in thee different variants. |
| 55 | The 3D-Var methods are implemented in incremental form using a control vector transformation (following the review by R. Bannister, Q. J. Roy. Meteorol. Soc., 2017): |
| 56 | * **3D-Var** - 3D-Var with parameterized covariance matrix |
| 57 | * **3DEnVar** - 3D-Var using ensemble covariance matrix. The ensemble perturbations are updated with either the LESTKF and ESTKF filters |
| 58 | * **Hyb3DVar** - Hybrid 3D-Var using a combination of parameterized and ensemble covariance matrix. The ensemble perturbations are updated with either the LESTKF and ESTKF filters |