Introduction to Variational Data Assimilation...Introduction to Ensemble Data Assimilation Steven J....

Preview:

Citation preview

Introduction to Ensemble Data Assimilation

Steven J. Fletcher

Cooperative Institute for Research in the Atmosphere,

Colorado State University

Plan of talk

• Kalman Filter• EnKF• Inflation and Localization• ETKF• LETKF• MLEF• En4DVAR• 4DEnVAR

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 2

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 3

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 4

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 5

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 6

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 7

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 8

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 9

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 10

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 11

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 12

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 13

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 14

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 15

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 16

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 17

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 18

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 19

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 20

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 21

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 22

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 23

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 24

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 25

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 26

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 27

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 28

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 29

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 30

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 31

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 32

Localized Ensemble Transform Kalman FilterLETKF

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 33

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 34

Maximum Likelihood Ensemble Filter (MLEF)

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 35

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 36

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 37

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 38

Hybrid 3D VAR

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 39

Hybrid 4D Var or En4DVAR

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 40

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 41

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 42

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 43

NDEnVAR

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 44

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 45

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 46

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 47

4DEnVAR – Four Dimensional Ensemble VARThe approach presented here is similar to that of Ensemble 4D VAR (En4DVAR) but was

designed to AVOID the TLM and adjoints. 4DEnVAR extends to four dimensions for all the En4DVAR equations, but now applying them to the sequence of states in trajectories rather than at the single time at the beginning of the window. This implies that we can use an implicit localized ensemble covariance

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 48

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 49

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 50

7/16/2019 GOES-R & JPSS Summer Workshop on Theory and Use of Satellite Data 51

Recommended