Data assimilation in a sparsely observed one-dimensional modeled MHD system

Nonlinear Processes in Geophysics

Volumn 14, Issue 2, 2007, Pages 181-192

  Sun, Z ^a   Tangborn, A ^a,b   Kuang, W ^b  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

^b NASA GODDARD SPACE FLIGHT CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; COVARIANCE ANALYSIS; DATA ASSIMILATION; ENSEMBLE FORECASTING; ERROR ANALYSIS; GEOMAGNETISM; INTERPOLATION; MAGNETIC FIELD; MAGNETOHYDRODYNAMICS; MONTE CARLO ANALYSIS; OBSERVATIONAL METHOD; ONE-DIMENSIONAL MODELING; TESTING METHOD; VELOCITY PROFILE;

EID: 34248572328     PISSN: 10235809     EISSN: 16077946     Source Type: Journal    
DOI: 10.5194/npg-14-181-2007     Document Type: Article

References (23)

1. Bloxham, J., Gubbins, D., and Jackson, A.: Geomagnetic secular variation, Phil. Trans. Roy. Soc. Lond. A, 329, 415-502, 1989.
2. Borovikov, A., Rienecker, M. M., Keppene, C. L., and Johnson, C. C.: Multivariate error covariance estimates by Monte-Carlo simulation for assimilation studies in the Pacific Ocean, Monthly Weather Review, 133, 2310-2334, 2005.
3. Braginsky, S. I.: Magnetic waves in the Earth's core, Geomag. Aeron., 7, 851-859, 1967.
4. Braginsky, S. I.: Torsional magnetohydrodynamic vibrations in the Earth's core and variations in day length, Geomag. Aeron., 10, 1-8, 1976.
5. Braginsky, S. I.: Magnetic waves in the core of the Earth II, Geophy. Astrophy. Fluid Dyn., 14, 189-208, 1980.
6. Bunge, H. P., Richards, M. A., and Baumgardner, J. R.: Mantle-circulation models with sequaential data assimilation: Inferring present-day mantle structure from plate motion histories, Phil. Trans. Roy. Soc. Lond. A, 360, 2545-2567, 2002.
7. Cohn, S. E.: An introduction to estimation theory, J. Meteor. Soc. Japan, 75, 257-288, 1997.
8. Constable, C. G., Johnson, C. L., and Lund, S. P.: Global magnetic field models for the past 3000 years:transient or permanent flux lobes?, Phil. Trans. Roy. Soc. Lond. A, 358, 991-1008, 2000.
9. Evensen, G.: Sequential data assimilation with a nonlinearquasigeostrophic model using Monte Carlo methods to forecast error statistics, J. Geophys. Res.-Oceans, 99, 10 143-10 162, 1994.
10. Eymin, C.: Étude des mouvements à la surface du noyau terrestre, PhD thesis, Université Pierre et Marie Curie - Paris VI, 2004.
11. Gaspari, G. and Cohn, S. E.: Construction of correlation function in two and three dimensions, Q. J. R. Meteorol. Soc., 125, 723-757, 1999.
12. Guoyodo, Y. and Valet, J.-P.: Global changes in intensity of the Earth's magnetic field during the past 800kyr, Nature, 399, 249-252, 1999.
13. Jiang, W., Kuang, W., Fang, M., and Cox, C.: Understanding Time-Variable Gravity due to Core Dynamical Processes with Numerical Geodynamo Modeling, in: Dynamic Planet, edited by: Tregoning, Rizos, Springer, IAG 130, pp. 473-479, 2007.
14. Kalman, R. E.: A New Approach to Linear Filter and Prediction Problems, ASME, Ser., D, J. of Basic Engr., 98, 35-45, 1960.
15. Kono, M. and Roberts, P. H.: Recent geodynamo simulations and observations of the geomagnetic field, Rev. Geophys., 40, 1-53, 2002.
16. Kuang, W. and Bloxham, J.: Numerical modeling of magneto-hydrodyanmic convection in a rapidly rotating spherical shell: weak and strong field dynamo actions, J. Comp. Phys., 153, 51-81, 1999.
17. Kuang, W. and Chao, B. F.: Geodynamo modeling and core-mantle interaction in the core-mantle boundary region, Geodynamics Series, 31, 193-212, 2003.
18. Kumar, S. and Roberts, P. H.: A three dimensional kinematic dynamo, Proc. Roy. Soc. Lond. A, 314, 235-258, 1975.
19. Larmor, J.: How could a rotating body such as the Sun become a magnet, Rep. Brit. Assn. Advan. Sci., p. 159-160, 1919.
20. Miller, R. N., Carter, E. F., and Blue, S. T.: Data assimilationinto non-linear stochastic models, Tellus, 51A, 167-194, 1999.
21. Roberts, P. H. and Stix, M.: α-effect dynamos, by the Bullard-Gellman formalism, Astr. Astrophys., 18, 453-466, 1972.
22. Sabaka, T. J., Olson, N., and Langel, R. A.: A comprehensive model of the quiet-time near-Earth magnetic field; phase 3., Geophys. J. Int., 151, 32-68, 2002.
23. Tangborn, A.: Wavelet approximation of error covariance propagation in data assimilation, Tellus A, 56, 16-28, 2004.