Examination of numerical results from tangent linear and adjoint of discontinuous nonlinear models

Monthly Weather Review

Volumn 129, Issue 11, 2001, Pages 2791-2804

  Zhang, S ^a   Zou, X ^a   Ahlquist, J E ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; NUMERICAL ANALYSIS; OPTIMIZATION; PERTURBATION TECHNIQUES; WEATHERING;

COST FUNCTION;

CLIMATOLOGY;

ATMOSPHERIC MODELING; COST; DATA ASSIMILATION; WEATHER FORECASTING;

EID: 0035505788     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(2001)129<2791:EONRFT>2.0.CO;2     Document Type: Article

References (34)

1. Interaction of a cumulus ensemble with the large-scale environment
2. A new convective adjustment scheme. Part I: Observational and theoretical basis
3. Variational assimilation of meteorological observations with the adjoint equation-Part I. Numerical results
4. What is an adjoint model?
5. Variational assimilation of precipitation data using moist convective parameterization schemes: A ID-Var study
6. Coupling of moist-convective and stratiform precipitation processes for variational data assimilation
7. Nonlocal boundary-layer vertical diffusion in a medium-range model
8. Variational assimilation of precipitable water using a nonhydrostatic mesoscale adjoint model. Part I: Moisture retrieval and sensitivity experiments
9. Variational algorithms for analysis and assimilation of meteorological observations: Theoretical aspects
10. Variable metric bundle methods: From conceptual to implemetable forms
11. On the limited memory BFGS method for large scale optimization
12. The ECMWF operational implementation of four-dimensional variational assimilation Part II: Experimental results with improved physics
13. Conjugate-gradient methods for large-scale minimization in meteorology
14. Variational data assimilation with an adiabatic version of the NMC spectral model
15. The NMC spectral model
16. The new T80 NMC operational spectral model
17. Incorporating the SSM/I-derived precipitable water and rainfall rate into a numerical model: A case study for the ERICA IOP-4 cyclone
18. Generalized adjoint for physical processes with parameterized discontinuities. Part I: Basic issues and heuristic examples
19. Generalized adjoint for physical processes with parameterized discontinuities. Part II: Vector formulations and matching conditions
20. Generalized adjoint for physical processes with parameterized discontinuities. Part III: Multiple threshold conditions
21. Generalized adjoint for physical processes with parameterized discontinuities. Part IV: Problems in time discretization
22. Generalized adjoint for physical processes with parameterized discontinuities. Part IV: Minimization problems in multidimensional space
23. Generalized adjoint for physical processes with parameterized discontinuities. Part V: Coarse-grain adjoint and problems in gradient check
24. Use of differentiable and nondifferentiable optimization algorithms for variational data assimilation with discontinuous cost functions
25. Impact of key parameters estimation on the performance of the FSU spectral model using the full physics adjoint
26. Tangent linear and adjoint of on-off processes and their feasibility for use in 4-dimensional variational data assimilation
27. Rainfall assimilation through an optimal control of initial and boundary conditions in a limited-area mesoscale model
28. Numerical experience with limited-memory quasi-Newton and truncated-Newton methods
29. Variational data assimilation with moist threshold processes using the NMC spectral model
30. The effects of discontinuities in the Betts-Miller cumulus convection scheme on four-dimensional variational data assimilation in a quasi-operational forecasting environment