inria-00176180, version 1
Several data assimilation methods for geophysical problems
Indian Journal of Pure and Applied Mathematics 37, 1 (2006) 41-58
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.
- a – Université Paul Sabatier - Toulouse III
- 1:
- CNRS : UMR5224 – INRIA – Laboratoire Jean Kuntzmann – Université Joseph Fourier - Grenoble I – Institut Polytechnique de Grenoble - Grenoble Institute of Technology
- Domain : Mathematics/Optimization and Control
- Keywords : data assimilation – geophysical fluids – 4D-VAR – 4D-PSAS – SEEK filter – nudging
- inria-00176180, version 1
- http://hal.inria.fr/inria-00176180
- oai:hal.inria.fr:inria-00176180
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- Submitted on: Tuesday, 2 October 2007 17:28:30
- Updated on: Tuesday, 4 December 2007 20:32:38
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