1. ROMS/TOMS Tangent Linear and Adjoint Models Andrew Moore, CU Hernan Arango, Rutgers U Arthur Miller, Bruce Cornuelle, Emanuele Di Lorenzo, Doug Neilson UCSD

2. Major Objective In addition to IOM, provide the ocean modelling community with analysis and prediction tools available in meteorology and NWP, using a community OGCM (ROMS). In addition to IOM, provide the ocean modelling community with analysis and prediction tools available in meteorology and NWP, using a community OGCM (ROMS).

3. Overview NL ROMS: NL ROMS: Perturbation: Perturbation:

4. Overview NL ROMS: NL ROMS: TL ROMS: TL ROMS: AD ROMS: AD ROMS: (TL1) (AD)

5. Overview Second TLM: Second TLM: (TL2 ) TL1= Representer Model TL1= Representer Model TL2= Tangent Linear Model TL2= Tangent Linear Model

6. Current Status of TL and AD All advection schemes All advection schemes Most mixing and diffusion schemes Most mixing and diffusion schemes All boundary conditions All boundary conditions Orthogonal curvilinear grids Orthogonal curvilinear grids All equations of state All equations of state Coriolis, pressure gradient, etc. Coriolis, pressure gradient, etc.

7. Picard Iteration Test (TL2):

8. 1 1 2 3 4 5 1 2 3 4 5 6 month integration time 50 Picard iterations 1 2 3 45

9. Available Drivers (TL1, AD) Singular vectors: Singular vectors: and Eigenmodes of Eigenmodes of Forcing Singular vectors: Forcing Singular vectors: Stochastic optimals: Stochastic optimals: Pseudospectra: Pseudospectra:

10. Southern California Bight (SCB) Model grid 1200kmX1000km Model grid 1200kmX1000km 10km resolution, 20 levels 10km resolution, 20 levels Di Lorenzo et al. (2003) Di Lorenzo et al. (2003)

11. SCB Examples

12. Pseudospectrum

13. Singular Vectors Energy norm, 5 day growth time Energy norm, 5 day growth time

14. Confluence and diffluence

15. Boundary sensitivity

16. Seasonal Dependence

17. Stochastic Optimals

18. Drivers under development Ensemble prediction (SVs, FSVs, SOs, following NWP) Ensemble prediction (SVs, FSVs, SOs, following NWP) 4D Variational Assimilation (4DVar) 4D Variational Assimilation (4DVar) Greens function assimilation Greens function assimilation IOM interface (IROMS) (NL, TL1, TL2, AD) IOM interface (IROMS) (NL, TL1, TL2, AD)

19. Publications Moore, A.M., H.G Arango, E. Di Lorenzo, B.D. Cornuelle, A.J. Miller and D. Neilson, 2003: A comprehensive ocean prediction and analysis system based on the tangent linear and adjoint of a regional ocean model. Ocean Modelling, Final revisions. Moore, A.M., H.G Arango, E. Di Lorenzo, B.D. Cornuelle, A.J. Miller and D. Neilson, 2003: A comprehensive ocean prediction and analysis system based on the tangent linear and adjoint of a regional ocean model. Ocean Modelling, Final revisions. H.G Arango, Moore, A.M., E. Di Lorenzo, B.D. Cornuelle, A.J. Miller and D. Neilson, 2003: The ROMS tangent linear and adjoint models: A comprehensive ocean prediction and analysis system. Rutgers Tech. Report, In preparation. H.G Arango, Moore, A.M., E. Di Lorenzo, B.D. Cornuelle, A.J. Miller and D. Neilson, 2003: The ROMS tangent linear and adjoint models: A comprehensive ocean prediction and analysis system. Rutgers Tech. Report, In preparation.

20. What next? Complete 4DVar driver Complete 4DVar driver Interface barotropic ROMS to IOM Interface barotropic ROMS to IOM Complete 3D Picard iteration test (TL2) Complete 3D Picard iteration test (TL2) Interface 3D ROMS to IOM Interface 3D ROMS to IOM

21. SCB Examples

22. Confluence and diffluence

23. Boundary sensitivity

24. Stochastic Optimals