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Variational data assimilation for Hamiltonian problems
Author(s) -
Watkinson L. R.,
Lawless A. S.,
Nichols N. K.,
Roulstone I.
Publication year - 2005
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.844
Subject(s) - data assimilation , observability , hamiltonian (control theory) , hamiltonian system , mathematics , symplectic geometry , scheme (mathematics) , mathematical optimization , computer science , algorithm , mathematical analysis , physics , meteorology
Abstract We investigate the conservation properties of Hamiltonian systems in variational data assimilation. We set up a four‐dimensional data assimilation scheme for the two‐body (Kepler) system using a symplectic scheme to model the non‐linear problem. We use our completed scheme to investigate the observability of the system and the effect of different background constraints. We find that the addition of these constraints gives an improved solution for the cases we have investigated. Copyright © 2005 John Wiley & Sons, Ltd.