Selection of momentum variables for a three-dimensional variational analysis

Pure and Applied Geophysics

Volumn 169, Issue 3, 2012, Pages 335-351

  Xie, Yuanfu ^a   MacDonald, Alexander E ^a  

^a NOAA EARTH SYSTEM RESEARCH LABORATORY   (United States)

Author keywords

Background; Bayesian theorem; Control variables; Error covariance; Long wave and short wave; Observations; Streamfunction and velocity potential; Variational data assimilation; Vorticity and divergence

Indexed keywords

BACKGROUND; BAYESIAN THEOREM; CONTROL VARIABLE; ERROR COVARIANCES; OBSERVATIONS; SHORT WAVES; VARIATIONAL DATA ASSIMILATION; VELOCITY POTENTIALS;

BOUNDARY CONDITIONS; ERRORS; EXPERIMENTS; INVERSE PROBLEMS; REGIONAL PLANNING; VORTICITY;

VELOCITY;

BAYESIAN ANALYSIS; BOUNDARY CONDITION; DATA ASSIMILATION; DIVERGENCE; ERROR ANALYSIS; INVERSE PROBLEM; THREE-DIMENSIONAL MODELING; VORTICITY;

EID: 84861108599     PISSN: 00334553     EISSN: 14209136     Source Type: Journal    
DOI: 10.1007/s00024-011-0374-3     Document Type: Article

References (13)

1. Buehner, M., (2004) Ensemble-derived stationary and flow-dependent background error covariances: evaluation in a quasi-operational NWP setting. Q. J. R. Meteorol. Soc. 128, 1-31.
2. Chen, Q and Kuo, Y. (1992) A harmonic-sine series expansion and its application to partitioning and reconstruction problem in a limited area. Mon. Wea. Rev., 120, 91-112.
3. Chen, Q and Kuo, Y. (1992) A Consistency condition for wind-field reconstruction in a limited area and a harmonic-cosine series expansion. Mon. Wea. Rev., 120, 2653-2670.
4. Hayden, C. M. and Purser, R.J. (1995) Recursive filter objective analysis of meteorological fields: applications to NESDIS operational processing. J. Appl. Meteor., 34, 3-15.
5. Lorenc, A.C., (1986) Analysis methods for numerical weather prediction. Quart. J. Roy. Meteor. Soc., 112, 1177-1194.
6. Parrish, D.F. and Derber, J. (1992) The National meteorological Center's spectral statistical-interpolation analysis system. Mon. Wea. Rev., 120, 1747-1763.
7. Purser, R.J., Wu, W.-S., Parrish, D.F., Roberts, N.M. (2003a) Numerical aspects of the application of recursive filters to var-iational statistical analysis. Part I: Spatially homogeneous and isotropic Gaussian covariances. Mon. Wea. Rev., 131, 1524-1535.
8. Purser, R.J., Wu, W.-S., Parrish, D.F., Roberts, N.M. (2003b) Numerical aspects of the application of recursive filters to var-iational statistical analysis. Part II: Spatially inhomogeneous and anisotropic general covariances. Mon. Wea. Rev., 131, 1536-1548.
9. Schlatter, T.W., (1975) Some experiments with a multivariate statistical objective analysis scheme. Mon. Wea. Rev., 103, 246-257.
10. Shukla, J., and Saha, K.R. (1974) Computation of non-divergent streamfunction and irrotational velocity potential from the observed winds. Mon. Wea. Rev., 102, 419-425.
11. Stephens, J.J., and Johnson, K.W. (1978) Rotational and divergent wind potentials. Mon. Wea. Rev., 106, 1452-1457.
12. Wu, W.-S., Purser, R.J. and Parrish, D.F. (2002) Three-dimensional variational analysis with spatial inhomogeneous covariance. Mon. Wea. Rev., 130, 2905-2916.
13. Xie, Y., Lu, C. and Browning, G. (2002) Impact of formulation of cost function and constraints on three-dimensional variational data assimilation. Mon. Wea. Rev., 130, 2433-2447.