The maintenance of conservative physical laws within data assimilation systems

(2000) to examine the equatorial Pacific Ocean includes a correction to the sea level. Since the sea level in the model at each time step is determined through conservation of mass, any correction to the equation results in the nonconservation of properties. The ensemble Kalman filter scheme employe...

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Bibliographic Details
Published in:Monthly weather review 2003-11, Vol.131 (11), p.2595-2607
Main Authors: JACOBS, G. A, NGODOCK, H. E
Format: Article
Language:English
Subjects:
Boundary conditions
Data collection
Earth, ocean, space
Exact sciences and technology
External geophysics
Geophysics. Techniques, methods, instrumentation and models
Mathematical models
Meteorology
Momentum equation
Other topics in atmospheric geophysics
Sea level
Studies
Wind
Citations: Items that this one cites
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Summary:(2000) to examine the equatorial Pacific Ocean includes a correction to the sea level. Since the sea level in the model at each time step is determined through conservation of mass, any correction to the equation results in the nonconservation of properties. The ensemble Kalman filter scheme employed by Evensen and van Leeuwen (1996) constructs a set of ocean states each of which is determined through the application of a randomly perturbed wind field. Because the wind forcing is external to the conservation equations, the numerical model conserves all the internal properties. The work assumes that all the errors occur in the momentum conservation equations. [...]while mass is maintained, momentum is not.\n In the adjoint model, residuals from the momentum equation would be passed to the wind stress field.
ISSN:0027-0644
1520-0493
DOI:10.1175/1520-0493(2003)131<2595:TMOCPL>2.0.CO;2