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The linearization and adjoint of radiation transfer processes in the NMC spectral model part I: Solar radiative transfer

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Summary

Linearization and adjoint-model derivation for the solar radiation transfer codes in the NMC spectral model have been carried out. Verification of the validity of resulting tangent linear model and the correctness of the corresponding adjoint have been performed. Applications of derived adjoint model are considered, including parameter estimation for inputs to solar radiation codes with aid of the physics (i.e., the solar radiation codes) and a sensitivity study of the downward solar radiation flux at the earth surface with respect to water vapor amount at various heights.

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References

  • Albrecht, B. A., Randall, D. A., Nicholls, S., 1988: Observation of marine stratocumulus clouds during FIRE.Bull. Amer. Meteor. Soc.,69, 618–626.

    Article  Google Scholar 

  • Anderson, E., Pailleux, J., Thepaut, J. N., Eyre, J. R., McNally, A. P., Kelly, G. K., Courtier, P., 1994: Use of cloud-cleared radiances in three/four-dimensional variational data assimilation.Quart. J. Roy. Meter. Soc.,120, 627–653.

    Article  Google Scholar 

  • Banks, H. T., Kunisch, K., 1989:Estimation Techniques for Distributed Parameter Systems. Boston: Birkhauser 315 pp.

    Book  Google Scholar 

  • Cacuci, D. G., 1981a: Sensitivity theory for nonlinear systems. I: Nonlinear functional analysis approach.J. Math. Phys.,2, 2794–2802.

    Article  Google Scholar 

  • Cacuci, D. G., 1981b: Sensitivity theory for nonlinear systems. II: Extensions to additional classes of responses.J. Math. Phys.,22, 2803–2812.

    Article  Google Scholar 

  • Campana, K. A., Basu, B. K., Schwarzkopf, M. D., 1988: Radiative process. In: Documentation of NMC spectral model (1988).

  • Campana, K. A., Kumar, A., Leetmaa, A., 1990: Radiation and cloud parameterization at National Meteorological Center. 1990 ECMWF Workshop on Clouds, Radiation, and the Hydrological cycle.

  • Courtier, P., 1987: Application du contrôle optimal à la prévision numérique en météorologie. Thèse de Doctorat de I'Université de Paris VI.

  • Derber, J. C., Parrish, D. F., Lord, S. J., 1991: The new global operational analysis system at the National Meteorological Center.Wea Forecasting,6, 538–547.

    Article  Google Scholar 

  • Derber, J. C., Parrish, D. F., Sela, J. G., 1993: The SSI analysis system and extension to 4-D. In: Variational assimilation, with special emphasis on three-dimensional aspects. Proc. of a Workshop held at ECMWF, June 1993, 15–35.

  • Derber, J. C., Parrish, D. F., Wu, W. S., Pu, Z., Rizvi, S. R. H., 1994: Improvements to the operational SSI global analysis system. Proc. of the Tenth Conference on Numerical Weather Prediction, held in Portland, Oregon, July 18–22, 1994. 149–150. pp. 640.

  • Errico, R. M., Vukicevic, T., 1992: Sensitivity analysis using an adjoint of the PSU-NCAR meso-scale model.Mon. Wea. Rev.,120, 1644–1660.

    Article  Google Scholar 

  • Eyre, J. R., Kelly, G. A., Mcnally, A. P., Andersson, E., Persson, A., 1993. Assimilation of TOVS radiance information through one-dimensional variational analysis.Quart. J. Roy. Meteor. Soc.,119, 1427–1463.

    Article  Google Scholar 

  • Hall, M. C. G., Cacuci, D. G., Schlesinger, M. R., 1982: Sensitivity analysis of a radiative-convective model by the adjoint method.J. Atmos. Sci.,39, 2038–2050.

    Article  Google Scholar 

  • Hall, M. C. G., 1986. Application of adjoint sensitivity theory to an atmospheric general circulation model.J. Atmos. Sci.,43, 2644–2651.

    Article  Google Scholar 

  • Hoffman, R. N., Louis, J. F., Nehrkorn, T., 1992: A method for implementing adjoint calculations in the discrete case. ECMWF Tech. No. 184.

  • Jacobowitz, H., Soule, H. V., Kyle, H. L., House, F. B. and the Nimbus 7 ERB experiment team, 1984: The earth radiation budget experiment: An overview.J. Geophys. Res.,89, 5021–5038.

    Article  Google Scholar 

  • Lacis, A. A., Hansen, J. E., 1974: A parameterization for the absorption solar radiation in the earth's atmosphere.J. Atmos. Sci.,31, 118–133.

    Article  Google Scholar 

  • Lardner, R. W., AL-Rabeh, A. H., Gunay, N., 1993: Optimal estimation of parameters for a two-dimensional hydrodynamical model of the Arabian Gulf.J. Geophys. Res.,98, 18,229–18,242.

    Article  Google Scholar 

  • Lardner, R. W., Das, S. K., 1994: Optimal estimation of eddy viscosity for a quasi-three-dimensional numerical tidal and storm surge model.Int. J. Numer. Methods Fluids,18, 295–312.

    Article  Google Scholar 

  • McClatchey, R. A., Fenn, R. W., Selby, J. E. A., Volz, F. E., Garing, J. S., 1971: Optical properties of the atmosphere.Environ. Res. Rap.,354, AFCRL-71-0279.

    Google Scholar 

  • Navon, I. M., Zou, X., Derber, J., Sela, J., 1992: Variational data assimilation with an adiabatic version of NMC spectral model.Mon. Wea. Rev.,120, 1433–1446.

    Article  Google Scholar 

  • Oberhuber, J. M., 1988: An atlas based on the “COADS” data set: The budgets of heat, buoyancy and turbulent kinetic energy at the surface of global ocean, Max-Planck-Institute for meteorology, Report No. 15.

  • Omatu, S., Seinfeld, J. H., 1989:Distributed Parameter Systems. Oxford: Oxford Science Publications, 427pp.

    Google Scholar 

  • Parrish, D. F., Derber, J. C., 1992: The National Meteorological Center's Spectral statistical interpolation analysis system.Mon. Wea. Rev.,120, 1747–1763.

    Article  Google Scholar 

  • Rabier, F., Courtier, P., Talagrand, O., 1992: An application of adjoint models to sensitivity analysis.Beitr. Phys. Atmos.,65, 177–192.

    Google Scholar 

  • Sasamori, T., London, J., Hoyt, D., 1972: Radiation budget of the southern hemisphere.Meteorological Monographs,13, 9–23.

    Google Scholar 

  • Schlick, T., Fogelson, A., 1992: TNPACK-A truncated Newton minimization package for large-scale problems, I. Algorithms and usage, II. Implementation examples.ACM Trans. Math Software,18, 46–111.

    Article  Google Scholar 

  • Slingo, J. M., 1980: A cloud parameterization scheme derived from GATE data for use with a numerical model.Quart. J. Roy. Meteor. Soc.,106, 747–770.

    Article  Google Scholar 

  • Slingo, J. M., 1987: The development and verification of a cloud prediction scheme for the ECMWF.Quart. J. Roy. Meteor. Soc.,113, 899–927.

    Article  Google Scholar 

  • Smedstad, O. M., O'Brien, J. J., 1991: Variational data assimilation and parameter estimation in the equatorial Pacific Ocean.Prog. Oceanogr.,26, 179–241.

    Article  Google Scholar 

  • Thepaut, J. N., Moll, P., 1990: Variational inversion of simulated TOVS radiances using the adjoint technique.Quart. J. Roy. Meteor. Soc.,116, 1425–1448.

    Article  Google Scholar 

  • Vukicevic, T., Errico, R. M., 1993: Linearization and adjoint of parameterized moist diabatic process.Tellus,44A, 273–296.

    Google Scholar 

  • Wu, W. S., Derber, J. C., 1994: Inclusion of SSM/I precipitable water observations in the NMC spectral statistical interpolation analysis system. in Proc. of the Tenth Conference on Numerical Weather Predication, held in Portland, Oregon, July 18–22, 1994. 190–191. pp. 640.

  • Zou, J., Holloway, G., 1994. Improving steady-state fit of dynamics to data using adjoint equation with gradient preconditioning.Mon. Wea. Rev. 123/1, 199–211.

    Google Scholar 

  • Zou, X., Navon, I. M., 1994a: Variational data assimilation: some aspects of theory and applications. InEnvironmental Modeling Vol II: Computer Methods and Software for Simulating Environmental Pollution and its Adverse Effects. Boston: Computational Mechanics Publications, 350pp.

    Google Scholar 

  • Zou, X., Derber, J. C., Sela, J. G., Navon, I. M., 1994b: Variational data assimilation with physical processes using the NMC spectral model. Presented at the Tenth Conference on Numerical Weather Prediction, held in Portland, Oregon, July 18–22, 1994.

  • Zou, X., Navon, I. M., Sela, J., 1993a: Control of gravitational oscillations in variational data assimilation.Mon. Wea. Rev.,121, 272–289.

    Article  Google Scholar 

  • Zou, X., Navon, I. M., Sela, J., 1993b: Variational data assimilation with molst threshold processes using the NMC spectral model.Tellus,45A, 370–387.

    Google Scholar 

  • Zou, X., Navon, I. M., Berger, M., Phua, K. H., Schlick, T., Le Dimet, F. X., 1993c: Numerical experiences with limited-memory quasi-Newton and truncated Newton methods.Siam J. Optimization,3, 582–608.

    Article  Google Scholar 

  • Zou, X., Navon, I. M., Barcilon, A., Whittaker, J., Cacuci, D. 1993d: An adjoint sensitivity study of blocking in a two-layer isentropic model.Mon. Wea. Rev.,121, 2833–2857.

    Article  Google Scholar 

  • Zou, X., Navon, I. M., Le-Dimet, F. X., 1992: An optimal nudging data assimilation using parameter estimation.Quart. J. Roy. Meteor. Soc.,118, 1163–1186.

    Article  Google Scholar 

  • Zupanski, D., 1993: The effects of discontinuities in the Betts-Miller cumulus convection scheme on four-dimensional data assimilation,Tellus,45A, 511–524.

    Google Scholar 

  • Yu, L., O'Brien, J. J., 1991. Variational estimation of the wind stress drag coefficient and oceanic eddy viscosity profile.J. Phys. Oceanogr.,21, 709–719.

    Article  Google Scholar 

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Zou, J., Navon, I.M. The linearization and adjoint of radiation transfer processes in the NMC spectral model part I: Solar radiative transfer. Meteorl. Atmos. Phys. 58, 193–203 (1996). https://doi.org/10.1007/BF01027565

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