Control of lateral boundary conditions in four-dimensional variational data assimilation for a limited area model

Nils Gustafsson

doi:10.3402/tellusa.v64i0.17518

Control of lateral boundary conditions in four-dimensional variational data assimilation for a limited area model

Tellus

Volume 64 (2012): Issue 1

By: Nils Gustafsson

Open Access

|Dec 2012

Abstract

The limited area model forecasting problem is a lateral boundary condition (LBC) problem in addition to the initial condition problem. The data assimilation has traditionally been considered as a process for estimation of the initial condition only, while for the limited area data assimilation this estimation may be extended to include also the LBCs, at least during the data assimilation time window when observations are available. A procedure for such a control of the LBCs has been included in the four-dimensional variational data assimilation (4D-Var) scheme for the HIgh Resolution Limited Area Model (HIRLAM) forecasting system. A description of this procedure is provided together with results from idealised as well as real data experiments. The results indicate that control of LBCs may be important with small forecast domains and in particular for weather disturbances moving quickly into and through the forecast domain.

References

Baxter, G. M, Dance, S. L, Lawless, A. S and Nichols, N. K. 2011. 46, 137–141.
Search in Google Scholar Back to article
Berre L. Estimation of synoptic and mesoscale forecast error covariances in a limited-area model. Mon. Wea. Rev. 2000; 128: 644–667.
Search in Google Scholar Back to article
Courtier P. Thépaut J.-N. Hollingsworth A. A strategy for operational implementation of 4D-Var, using an incremental approach. Q. J. R. Meteorol. Soc. 1994; 120: 1367–1387.
Search in Google Scholar Back to article
Cuxart J. Bougeault P. Redelsperger J. A turbulence scheme allowing for mesoscale and large-eddy simulations. Q. J. R. Meteorol. Soc. 2000; 126: 1–30.
Search in Google Scholar Back to article
Dahlgren, P and Gustafsson, N. 2012. Assimilating host model information into a limited area model. Tellus A. 64, 15836. 10.3402/tellusa.v64i0.17518.
Open DOI Search in Google Scholar Back to article
Davies H. C. Limitations of some common lateral boundary schemes used in NWP models. Mon. Wea. Rev. 1983; 111: 1002–1012.
Search in Google Scholar Back to article
Errico R. M. Vukićević T. Raeder K. Comparison of initial and lateral boundary condition sensitivity for a limited-area model. Tellus. 1993; 45A: 539–557.
Search in Google Scholar Back to article
Gauthier P. Thépaut J.-N. Impact of the digital filter as a weak constraint in the preoperational 4DVAR assimilation system of Météo-France. Mon. Wea. Rev. 2001; 129: 2089–2102.
Search in Google Scholar Back to article
Guidard V. Fischer C. Introducing the coupling information in a limited area variational assimilation. Q. J. R. Meteorol. Soc. 2008; 134: 723–735.
Search in Google Scholar Back to article
Gustafsson, N. 1992. Use of a digital filter as weak constraint in variational data assimilation. Workshop proceedings on Variational assimilation, with special emphasis on three-dimensional aspects. 327–338. Available from the ECMWF, Shinfield Park, Reading, Berks, RG2 9AX, UK.
Search in Google Scholar Back to article
Gustafsson, N, Berre, L, Hörnquist, S, Huang, X.-Y, Lindskog, M and co-authors. 2001. Three-dimensional variational data assimilation for a limited area model. Part I: general formulation and the background error constraint. Tellus. 53A, 425–446.
Search in Google Scholar Back to article
Gustafsson, N, Huang, X.-Y, Yang, X, Mogensen, K, Lindskog, M and co-authors. 2012. Four-dimensional variational data assimilation for a limited area model. Tellus A. 64, 14985, DOI: 10.3402/tellusa.v64i0.14985.
Search in Google Scholar Back to article
Gustafsson N. Källén E. Thorsteinsson S. Sensitivity of forecast errors to initial and lateral boundary conditions. Tellus. 1998; 50A: 167–185.
Search in Google Scholar Back to article
Haugen J.-E. Machenhauer B. A spectral limited-area model formulation with time-dependent boundary conditions applied to the shallow-water equations. Mon. Wea Rev. 1993; 121: 2618–2630.
Search in Google Scholar Back to article
Houtekamer P. L. Lefaivre L. Derome J. Ritchie H. Mitchell H. L. A system simulation approach to ensemble prediction. Mon. Wea. Rev. 1996; 124: 1225–1242.
Search in Google Scholar Back to article
Janisková M. Theépaut J.-N. Geleyn J.-F. Simplified and regular physical parameterizations for incremental four-dimensional variational assimilation. Mon. Wea. Rev. 1997; 127: 26–45.
Search in Google Scholar Back to article
Kain J. The Kain–Fritsch convective parameterization: an update. J. Appl. Meteorol. 2004; 43: 170–181.
Search in Google Scholar Back to article
Kawabata, T, Seko, H, Saito, K, Kuroda, T, Tamiya, K and co-authors. 2007. An assimilation and forecasting Experiment of the Nerima Heavy rainfall with a cloud-resolving nonhydrostatic 4-dimensional variational data assimilation system. J. Meteor. Soc. Japan. 85, 255–276.
Search in Google Scholar Back to article
Noilhan J. Mahfouf J.-F. The ISBA land surface parameterization scheme. Global Planet Change. 1996; 13: 145–159.
Search in Google Scholar Back to article
Parrish D. F. Derber J. C. The National Meteorological Centers spectral statistical interpolation analysis system. Mon. Wea. Rev. 1992; 120: 1747–1763.
Search in Google Scholar Back to article
Rasch P. Kristjánsson J. A comparison of the CCM3 model climate using diagnosed and predicted condensate parameterizations. J. Clim. 1998; 11: 1587–1614.
Search in Google Scholar Back to article
Savijärvi H. Fast radiation parameterization schemes for mesoscale and short-range forecast models. J. Appl. Meteorol. 1990; 29: 437–447.
Search in Google Scholar Back to article
Simmons, A. J. 2006. Observations, assimilation and the improvement of global weather prediction-some results from operational forecasting and ERA-40. In: Predictability of Weather and Climate. T. Palmer and R. Hagedorn. Cambridge University Press: Cambridge, pp. 428–458.
Search in Google Scholar Back to article
Trémolet Y. Accounting for an imperfect model in 4D-Var. Q. J. R. Meteorol. Soc. 2006; 132: 2483–2504.
Search in Google Scholar Back to article
Undén, P, Rontu, L, Järvinen, H, Lynch, P, Calvo, J and co-authors. 2002. HIRLAM-5 Scientific Documentation. http://www.hirlam.org/.
Search in Google Scholar Back to article
Uppala, S. M, Kållberg, P.W, Simmons, A.J, Andrae, U, Da Costa Bechtold, V and co-authors. 2005. The ERA-40 re-analysis. Q. J. R. Meteorol. Soc. 131, 2961–3012.
Search in Google Scholar Back to article
Veersé F. Thépaut J.-N. Multiple-truncation incremental approach for four-dimensional variational data assimilation. Q. J. R. Meteorol. Soc. 1998; 124: 1889–1908.
Search in Google Scholar Back to article