Three- and Four-Dimensional Variational Assimilation with a General Circulation Model of the Tropical Pacific Ocean. Part I: Formulation, Internal Diagnostics, and Consistency Checks

By A. T. Weaver, J. Vialard, D. Anderson. 2003

241 citations recorded by the source corpus.

Subfields: Atmospheric Science, Global and Planetary Change, Oceanography

View Paper: https://www.semanticscholar.org/paper/e34cbadc41c22c03ff84bc5f7204071cb804a41b

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Citations in the corpus

The Regional Ocean Modeling System (ROMS) 4-dimensional variational data assimilation systems Part I - System overview and formulation (2011, methodology): “An incremental 3D-Var and 4D-Var approach are both used in the Ocean Parallelise (OPA) model as described by Weaver et al. (2003).”
divand-1.0: n -dimensional variational data analysis for ocean observations (2013, methodology): “The solution can be obtained using explicit (Bennett et al., 1996; Weaver et al., 2003; Lorenzo et al., 2007; Muccino et al., 2008; Moore et al., 2011b) or implicit stepping schemes (Bennett et al., 1997; Weaver and Courtier, 2001; Chua and Bennett, 2001; Zaron et al., 2009; Carrier and Ngodock,…”
A multivariate balance operator for variational ocean data assimilation (2005, methodology): “Weaver et al. (2003) illustrate how this simple parameterisation of the background T errors can account for some of the dynamical effects implicit in a Kalman filter.”
B‐preconditioned minimization algorithms for variational data assimilation with the dual formulation (2014, methodology): “The primal form follows very closely that of Weaver et al. (2003) and solves (19) using the standard Lanczos algorithm which is equivalent to solving (5) using the BLanczos algorithm.”
Limited‐memory preconditioners, with application to incremental four‐dimensional variational data assimilation (2008, methodology): “In practice, they usually involve simplifying the linearization of highly nonlinear physical parametrizations or reducing the resolution of the increment used in the inner loop (Rabier et al., 2000; Weaver et al., 2003).”
A comprehensive ocean prediction and analysis system based on the tangent linear and adjoint of a regional ocean model (2004, methodology): “The strong constraint 4DVAR approach to data assimilation has also been used in oceanography (e.g. Long and Thacker, 1989a,b; Moore, 1991; Weaver et al., 2002; Vialard et al., 2002) and in climate modelling (Kleeman et al., 1995).”
An oceanographic three-dimensional variational data assimilation scheme (2008, methodology): “Due to its large size, the transformation matrix V is modelled at each minimization iteration as a sequence of linear operators (e.g. Weaver et al., 2003).”