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Journal Articles Indian Journal of Pure and Applied Mathematics Year : 2006

Several data assimilation methods for geophysical problems

Abstract

In this paper, we present an overview of various data assimilation methods, in order to identify the initial condition of a geophysical system and reconstruct its evolution in time and space. We first present the well known four dimensional variational adjoint method, the 4D-VAR algorithm, and then the four dimensional variational dual method, the 4D-PSAS algorithm, extended to nonlinear models. We present then an improved sequential data assimilation algorithm, the SEEK filter. We finally introduce a new simple algorithm, the Back and Forth Nudging. Some theoretical and numerical results about the BFN algorithm are finally given.
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Dates and versions

inria-00176180 , version 1 (02-10-2007)

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  • HAL Id : inria-00176180 , version 1

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Didier Auroux. Several data assimilation methods for geophysical problems. Indian Journal of Pure and Applied Mathematics, 2006, 37 (1), pp.41-58. ⟨inria-00176180⟩
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