Representer-based variational data assimilation in a spectral element shallow water model on the cubed-sphere grid
By: Byoung-Joo Jung, Sangil Kim and Youngsoon Jo
References
. A review of forecast error covariance statistics in atmospheric variational data assimilation. I: characteristics and measurements of forecast error covariances. Q. J. Roy. Meteorol. Soc. 2008a; 134: 1951– 1970. . A review of forecast error covariance statistics in atmospheric variational data assimilation. II: modeling the forecast error covariance statistics. Q. J. Roy. Meteorol. Soc. 2008b; 134: 1971– 1996. . Inverse methods in physical oceanography, monographs on mechanics and applied mathematics. 1992; Cambridge University Press, Cambridge. . Inverse modeling of the ocean and atmosphere. 2002; New York: Cambridge University Press. 225 pp. , . Open ocean modeling as an inverse problem: tidal theory. J. Phys. Oceanogr. 1982; 12: 1004– 1018. , . The generalized inverse of a nonlinear quasigeostrophic ocean circulation model. J. Phys. Oceanogr. 1992; 22: 213– 230. , . Data assimilation concepts and methods, ECMWF meteorological training lecture notes. 1999; ECMWF. 1– 58. , . An inverse ocean modeling system. Ocean. Model. 2001; 3: 137– 165. , , , , . , . Recent applications in representer-based variational data assimilation. Data Assimilation in Atmospheric, Oceanic and Hydrologic Application. 2013; Berlin: Springer-Verlag. 287– 301. . Dual formulation of four-dimensional data assimilation. Quart. J. Royal. Meteo. Soc. 1997; 123: 2449– 2461. , . Variational assimilation of meteorological observations with the direct and adjoint shallow-water equations. Tellus A. 1990; 42: 531– 549. . Atmospheric data analysis. 1991; New York: Cambridge University Press. , , , , , co-authors. High resolution mesh convergence properties and parallel efficiency of a spectral element atmospheric dynamical core. High Perf. Comp. Appl. 2005; 19: 225– 235. , , , , , co-authors. CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model. High Perf. Comp. Appl. 2012; 26: 74– 89. , . A global oceanic data assimilation system. J. Phys. Oceanogr. 1989; 19: 1333– 1347. , . Developments in 4d-Var and Kalman filtering. 2001. ECMWF Tech. Memo. 347 (available from ECMWF, Shinfield Park, Reading, Berkshire, RG2 9AX, UK). , . Recipes for adjoint code construction. ACM Trans. Math. Software. 1997; 24: 437– 474. , . The statistical structure of short range forecast errors as determined from radiosonde data. Part I: the wind field. Tellus A. 1986; 38: 111– 136. . Lecture note on assimilation algorithms. 2008; ECMWF. 30p. , , . Development of a tangent linear model (version 1.0) for the High-Order Method Modelling Environment dynamical core. Geosci. Model Dev. 2014; 7: 1175– 1196. , , , . Representer-based variational data assimilation in a nonlinear model of nearshore circulation. J. Geo. Res. C11019. 2007; 1– 18. , , , . Representer-based analyses in the coastal upwelling system. Dynam. Atmos. Oceans. 2009; 48: 198– 218. , , . A comparison of two methods for developing the linearization of a shallow-water model. Q. J. R. Meteorol. Soc. 2003; 129: 1237– 1254. . Efficient implementation of the ensemble Kalman filter. 2006. CCM Report 231, University of Colorado Denver. . , . Adjoint data assimilation methods. Operational Oceanography in the 21st Century. 2011; Springer. 351– 380. , , , , , co-authors. A comprehensive ocean prediction and analysis system based on the tangent linear and adjoint of a regional ocean model. Ocean Model. 2004; 7: 227– 258. , , . A discontinuous galerkin global shallow water model. Mon. Wea. Rev. 2005; 133: 876– 888. , , . Cycling the representer algorithm for variational data assimilation with the Lorenz Attractor. Mon. Wea. Rev. 2007; 135: 373– 386. , , . , . Cycling the Representer Method with Nonlinear Models. Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications. 2009; Berlin: Springer-Verlag. 321– 340. , . The National Meteorological Center's spectral statistical interpolation analysis system. Mon. Wea. Rev. 1992; 120: 1747– 1763. . Overview of global data assimilation developments in numerical weather prediction centres. Q. J. Roy. Meteorol. Soc. 2005; 131: 3215– 3233. , , , , . The ECMWF implementation of four-dimensional variational assimilation. I: experimental results with simplified physics. Q. J. Roy. Meteorol. Soc. 2000; 126: 1143– 1170. , , . The “cubed sphere”: a new method for the solution of partial differential equations in spherical geometry. J. Comput. Phys. 1996; 124: 93– 114. , . Development of NAVDAS-AR: nonlinear formulation and outer loop tests. Tellus A. 2006; 58A: 45– 58. . Conservative finite-difference approximations of the primitive equations on quasi-uniform spherical grids. Mon. Wea. Rev. 1972; 100: 136– 144. , . Cycling the representer method for 4D-variational data assimilation with the Navy Coastal Ocean Model. Ocean Model. 2008; 24: 92– 107. , , . The spectral element method for the shallow water equations on the sphere. J. Comput. Phys. 1997; 130: 92– 108. , . Correlation modelling on the sphere using a generalized diffusion equation. Q. J. R. Meteo. Soc. 2001; 127: 1815– 1846. , , , , . A standard test set for numerical approximations to the shallow water equations in spherical geometry. J. Comput. Phys. 1992; 102: 211– 224. , . Towards a true 4-dimensional data assimilation algorithm: application of a cycling representer algorithm to a simple transport problem. Tellus A. 2000; 52: 109– 128. , . Data assimilation with a barotropically unstable shallow water system using representer algorithms. Tellus. 2002; 54: 125– 137. , , . Development of NAVDAS-AR. Formulation and initial tests of the linear problem. Tellus. 2005; 57: 546– 559. , , . Variational data assimilation with a variable resolution finite-element shallow-water equation model. Mon. Wea. Rev. 1994; 122: 946– 965. , , , . Introduction to adjoint techniques and the MM5 adjoint modeling system. 1997. NCAR Tech. Note NCAR/TN-435-STR.
DOI: https://doi.org/10.3402/tellusa.v66.24493 | Journal eISSN: 3035-9554
Language: English
Page range: 24493 - 24493
Submitted on: Mar 30, 2014
Accepted on: Sep 10, 2014
Published on: Dec 1, 2014
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
Keywords:
© 2014 Byoung-Joo Jung, Sangil Kim, Youngsoon Jo, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.