An examination of the accuracy of the linearization of a mesoscale model with moist physics

Quarterly Journal of the Royal Meteorological Society

Volumn 125, Issue 553, 1999, Pages 169-195

  Errico, Ronald M ^a   Raeder, Kevin D ^b  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^b NONE

Author keywords

Adjoint; Primitive equations; Tangent linear model

Indexed keywords

MESOSCALE METEOROLOGY; MODEL VALIDATION; NUMERICAL METHOD;

EID: 0032963456     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1256/smsqj.55308     Document Type: Article

References (37)

1. Anthes, R. A. 1977 A cumulus parameterization scheme utilizing a one-dimensional cloud model. Mon. Weather Rev., 105, 270-286
2. Anthes, R. A., Hsie, E.-Y. and Kuo, Y.-H. 1987 'Description of the Penn State/NCAR Mesoscale Model Version 4 (MM4)'. NCAR Technical Note, NCAR/TN-282+STR (available from the National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307-3000, USA)
3. Bourke, W. and McGregor, J. L. 1983 A nonlinear vertical mode initialization scheme for a limited area prediction model. Mon. Weather Rev., 111, 2285-2297
4. Courtier, P. and Talagrand, O. 1990 Variational assimilation of meteorological observations with the direct and adjoint shallow-water equations. Tellus 42A, 531-549
5. Courtier, P., Thepaut, J.-N. and Hollingsworth, A. 1994 A strategy for operational implementation of 4-DVAR using an incremental approach, Q. J. R. Meteorol. Soc., 120, 1367-1387
6. Ehrendorfer, M. and Errico, R. M. 1995 Mesoscale predictability and the spectrum of optimal perturbations. J. Atmos. Sci., 52, 3475-3500
7. Ehrendorfer, M., Errico, R. M. and Raeder, K. D. 1998 Singular-vector perturbation growth in a primitive-equation model with moist physics. J. Atmos. Sci., 55, in press
8. Errico, R. M. 1997 What is an adjoint model? Bull. Amer. Meteorol Soc., 78, 2577-2591
9. Errico, R. M. and Vukićević, T. 1992 Sensitivity analysis using an adjoint of the PSU-NCAR mesoscale model. Mon. Weather Rev., 120, 1644-1660
10. Errico, R. M., Vukićević, T. and Raeder, K. 1993 Examination of the accuracy of a tangent linear model. Tellus 45A, 462-497
11. Errico, R. M., Raeder, K. and Vukićević, T. 1994 'Mesoscale adjoint modeling system version 1'. NCAR Technical Note, NCAR/TN-410+IA (available from the National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307-3000, USA)
12. Fillion, L. and Errico, R. M. 1997 Variational assimilation of precipitation data using moist-convective parameterization schemes: A IDVAR study. Mon. Weather Rev., 125, 2917-2942
13. Giering, R. and Kaminski. T. 1996 'Recipes for adjoint code construction'. Internal Report 212, MaxPlanck Institute fur Meteorologie, Hamburg, Germany
14. Hack, J. J. 1994 Parameterization of moist convection in the NCAR Community Climate Model (CCM2). J. Geophys. Res., 99, 5551-5568
15. Hack, J. J., Boville, B. A., Briegleb, B. A., Kiehl, J. T., Rasch, P. J. and Williamson, D. L. 1993 'Description of the NCAR community climate model (CCM2)'. NCAR Technical Note, NCAR/TN-382+ STR (available from NCAR, P.O. Box 3000, Boulder,CO 80307-3000, USA)
16. Hall, M. C. G., Cacuci, D. G. and Schlesinger, M. E. 1982 Sensitivity analysis of a radiative convective model by the adjoint method. J. Atmos. Sci., 39, 2083-2050
17. Kiehl, J. T., Hack, J. J., Bonan, G. B., Boville, B. A., Briegleb, B. A., Williamson, D. L. and Rasch, P. J. 1996 Description of the NCAR Community Climate Model (CCM3). NCAR Technical Note, NCAR/TN-420+ STR (available from NCAR. P.O. Box 3000. Boulder, CO 80307-3000, USA)
18. Kuo, H. L. 1974 Further studies of the parameterization of the influence of cumulus convection on large-scale flow. J. Atmos. Sci., 31, 1232-1240
19. Kuo, Y.-H. and Low-Nam, S. 1990 Predictability of nine explosive cyclones over the western Atlantic Ocean with a regional model. Mon. Weather Rev., 118, 3-25
20. Lacarra, J.-F. and Talagrand, O. 1988 Short-range evolution of small perturbations in a barotropic model. Tellus 40A, 81-95
21. Langland, R. H., Elsberry, R. L. and Errico, R. M. 1995 Evaluation of physical process in an idealized extratropical cyclone using adjoint sensitivity. Q. J. R. Meteorol. Soc., 121, 1349-1386
22. Lorenz, E. N. 1963 Deterministic non-periodic flow. J. Atmos. Sci., 20, 130-141
23. Moorthi, S. and Suarez, M. J. 1992 Relaxed Arakawa-Schubert: A parameterization of moist convection for general circulation models. Mon. Weather Rev., 120, 978-1002
24. Oortwijn, J. and Barkmeijer, J. 1995 Perturbations that optimally trigger weather regimes. J. Atmos. Sci., 52, 3952-3944
25. Park, S. K. and Droegemeier, K. K. 1995 'Effect of a microphysical parameterization on the evolution of linear perturbation in a convective cloud model'. Pp. 474-479 in Preprints from the Conference on cloud physics, Dallas, American Meteorological Society, Boston, USA
26. Rabier, F., Klinker, E., Courtier, P. and Hollingsworth, A. 1996 Sensitivity of forecast errors to initial conditions. Q. J. R. Meteorol. Soc., 122, 121-150
27. Simmons, A. J., Mureau, R. and Petroliagis, T. 1995 Error growth and estimates of predictability from the ECMWF forecast system. Q. J. R. Meteorol. Soc., 121, 1739-1771
28. Tsuyuki, T. 1996 Variational data assimilation in the tropics using precipitation data, Part II: 3-D model. Mon. Weather Rev., 124, 2545-2561
29. Verlinde, J. and Cotton, W. R. 1993 Fitting microphysical observations of nonsteady convective clouds to a numerical model: An application of the adjoint technique of data assimilation to a kinematic model. Mon. Weather Rev., 121, 2776-2793
30. Vukićević, T. and Errico, R. M. 1993 Linearization and adjoint of parameterized moist diabatic processes. Tellus, 45A, 493-510
31. Xu, Q. 1996a Generalized adjoint for physical processes with parameterized discontinuities. Part I: Basic issues and heuristic examples. J. Atmos. Sci., 53, 1143-1155 1996b Generalized adjoint for physical processes with parameterized discontinuities. Part II: Vector formulations and matching conditions. J. Atmos. Sci., 53, 1124-1155 1997a Generalized adjoint for physical processes with parameterized discontinuities. Part III: Multiple threshold conditions. J. Atmos. Sci., 54, 2713-2721 1997b Generalized adjoint for physical processes with parameterized discontinuities. Part IV: Problems in time discretization. J. Atmos. Sci., 54, 2722-2728
32. Xu, Q. 1996a Generalized adjoint for physical processes with parameterized discontinuities. Part I: Basic issues and heuristic examples. J. Atmos. Sci., 53, 1143-1155 1996b Generalized adjoint for physical processes with parameterized discontinuities. Part II: Vector formulations and matching conditions. J. Atmos. Sci., 53, 1124-1155 1997a Generalized adjoint for physical processes with parameterized discontinuities. Part III: Multiple threshold conditions. J. Atmos. Sci., 54, 2713-2721 1997b Generalized adjoint for physical processes with parameterized discontinuities. Part IV: Problems in time discretization. J. Atmos. Sci., 54, 2722-2728
33. Xu, Q. 1996a Generalized adjoint for physical processes with parameterized discontinuities. Part I: Basic issues and heuristic examples. J. Atmos. Sci., 53, 1143-1155 1996b Generalized adjoint for physical processes with parameterized discontinuities. Part II: Vector formulations and matching conditions. J. Atmos. Sci., 53, 1124-1155 1997a Generalized adjoint for physical processes with parameterized discontinuities. Part III: Multiple threshold conditions. J. Atmos. Sci., 54, 2713-2721 1997b Generalized adjoint for physical processes with parameterized discontinuities. Part IV: Problems in time discretization. J. Atmos. Sci., 54, 2722-2728
34. Xu, Q. 1996a Generalized adjoint for physical processes with parameterized discontinuities. Part I: Basic issues and heuristic examples. J. Atmos. Sci., 53, 1143-1155 1996b Generalized adjoint for physical processes with parameterized discontinuities. Part II: Vector formulations and matching conditions. J. Atmos. Sci., 53, 1124-1155 1997a Generalized adjoint for physical processes with parameterized discontinuities. Part III: Multiple threshold conditions. J. Atmos. Sci., 54, 2713-2721 1997b Generalized adjoint for physical processes with parameterized discontinuities. Part IV: Problems in time discretization. J. Atmos. Sci., 54, 2722-2728
35. Zou, X. and Kuo, Y.-H. 1996 Rainfall assimilation through an optimal control of initial and boundary conditions in a limited-area mesoscale model. Mon. Weather Rev., 124, 2859-2882
36. Zou, X., Navon, I. M. and Sela, J. G. 1993 Variational data assimilation with moist threshold processes using the NMC spectral model. Tellus, 45A, 370-387
37. Zupanski, D. and Mesinger, F. 1995 Four-dimensional variational assimilation of precipitation data. Mon. Weather Rev., 123, 1112-1127