Distributed forcing of forecast and assimilation error systems

Journal of the Atmospheric Sciences

Volumn 62, Issue 2, 2005, Pages 460-475

  Farrell, Brian F ^a   Ioannou, Petros J ^b  

^a HARVARD UNIVERSITY   (United States)

^b UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; LINEAR SYSTEMS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; STOCHASTIC CONTROL SYSTEMS;

FORECAST ERROR SYSTEMS; LINEAR FORECAST SYSTEMS; LINEAR OBSERVER SYSTEMS; STOCHASTIC EXCITATION;

WEATHER FORECASTING;

ERROR ANALYSIS; MODELING; WEATHER FORECASTING;

EID: 14744285452     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAS-3374.1     Document Type: Article

References (38)

1. Arnold, L., 1998: Random Dynamical Systems. Springer-Verlag, 586 pp.
2. Bamieh, B., and M. Dahleh, 2001: Energy amplification in channel flows with stochastic excitation. Phys. Fluids, 13, 3258-3269.
3. Barkmeijer, J., T. Iversen, and T. N. Palmer, 2003: Forcing singular vectors and other sensitive model structures. Quart. J. Roy. Meteor. Soc., 129, 2401-2424.
4. Bewley, T. R., and S. Liu, 1998: Optimal and robust control and estimation of linear paths to transition. J. Fluid Mech., 365, 23-57.
5. Brockett, R. W., 1970: Finite Dimensional Linear Systems. John Wiley and Sons, 244 pp.
6. Buizza, R., and T. N. Palmer, 1995: The singular-vector structure of the atmospheric global circulation. J. Atmos. Sci., 52, 1434-1456.
7. Butler, K. M., and B. F. Farrell, 1992: Three dimensional optimal perturbations in viscous shear flow. Phys. Fluids, 4A, 1637-1650.
8. D'Andrea, F., and R. Vautard, 2000: Reducing systematic errors by empirically correcting model errors. Tellus, 52A, 21-41.
9. Dullerud, G. E., and F. Paganini, 2000: A Course in Robust Control Theory: A Convex Approach. Springer-Verlag, 440 pp.
10. Eady, E. A., 1949: Long waves and cyclone waves. Tellus, 1, 33-52.
11. Farrell, B. F., 1982: The initial growth of disturbances in a baroclinic flow. J. Atmos. Sci., 39, 1663-1686.
12. Farrell, B. F., 1988a: Optimal excitation of perturbations in viscous shear flow. Phys. Fluids, 31, 2093-2102.
13. Farrell. B. F., 1988b: Optimal excitation of neutral Rossby waves. J. Atmos. Sci., 45, 163-172.
14. Farrell, B. F., 1989: Optimal excitation of baroclinic waves. J. Atmos. Sci., 46, 1193-1206.
15. Farrell, B. F., 1990: Small error dynamics and the predictability of atmospheric flows. J. Atmos. Sci., 47, 2409-2416.
16. Farrell, B. F., and P. J. Ioannou, 1993a: Stochastic dynamics of baroclinic waves. J. Atmos. Sci., 50, 4044-4057.
17. Farrell, B. F., and P. J. Ioannou, 1993b: Stochastic forcing of the linearized Navier-Stokes equations. Phys. Fluids, 5A, 2600-2609.
18. Farrell, B. F., and P. J. Ioannou, 1996a: Generalized stability. Part I: Autonomous operators. J. Atmos. Sci., 53, 2025-2041.
19. Farrell, B. F., and P. J. Ioannou, 1996b: Generalized stability. Part II: Nonautonomous operators. J. Atmos. Sci., 53, 2041-2053.
20. Farrell, B. F., and P. J. Ioannou, 1998: Turbulence suppression by active control. Phys. Fluids, 8, 1257-1268.
21. Farrell, B. F., and P. J. Ioannou, 1999: Perturbation growth and structure in time-dependent flows. J. Atmos. Sci., 56, 3622-3639.
22. Farrell, B. F., and P. J. Ioannou, 2001a: Accurate low-dimensional approximation of the linear dynamics of fluid flow. J. Atmos. Sci. 58, 2771-2789.
23. Farrell, B. F., and P. J. Ioannou, 2001b: State estimation using a reduced-order Kalman filter. J. Atmos. Sci., 58, 3666-3680.
24. Farrell, B. F., and P. J. Ioannou, 2002a: Perturbation growth and structure in uncertain flows. Part II. J. Atmos. Sci., 59, 2647-2664.
25. Farrell, B. F., and P. J. Ioannou, 2002b: Optimal perturbation of uncertain systems. Stochastic Dyn., 2, 395-402.
26. ∞-error bounds. Int. J. Control 39, 1115-1193.
27. Högberg, M., T. R. Bewley, and D. S. Henningson, 2003a: Linear feedback control and estimation of transition in plane channel flow. J. Fluid Mech., 481, 149-175.
28. T, = 100 turbulence using linear state-feedback control. Phys. Fluids 15, 3572-3575.
29. Jovanović, M. R., and B. Bamieh, 2001: Modeling flow statistics using the linearized Navier-Stokes equations. Proc. 40th IEEE Conf. on Decision and Control, Orlando, FL, IEEE, 4944-4949.
30. Kalman, R. E., 1964: When is a control system optimal? J. Basic Eng. 83D, 95-108.
31. Kim, J., 2003: Control of turbulence. Phys. Fluids, 15, 1093-1105.
32. Kleeman, R., and A. M. Moore, 1997: A theory for the limitation of ENSO predictability due to stochastic atmospheric transients. J. Atmos. Sci., 54, 753-767.
33. Lacarra, J., and O. Talagrand, 1988: Short-range evolution of small perturbations in a barotropic model. Tellus, 40A, 81-95.
34. Luenberger, D. G., 1971: An introduction to observers. IEEE Trans. Autom. Control., 16, 596-602.
35. Molteni, F., and T. N. Palmer, 1993: Predictability and finite-time instability of the Northern Hemisphere winter circulation. Quart. J. Roy. Meteor. Soc., 119, 269-298.
36. Palmer, T. N., R. Gelaro, J. Barkmeijer, and R. Buizza, 1998: Singular vectors, metrics, and adaptive observations. J. Atmos. Sci., 55, 633-653.
37. Reddy, S., and D. S. Henningson, 1993: Energy growth in viscous channel flows. J. Fluid Mech., 252, 209-238.
38. Zhou, K., and J. C. Doyle, 1998: Essentials of Robust Control. Prentice Hall, 411 pp.