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Core Information
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| Title: |
Optimal Control of a Finite-Element Limited-Area Shallow-Water Equations Model |
| Abstract: |
Optimal control of a finite element limited-area shallow- water equations model is explored with a view
to applying variational data assimilation(VDA) by obtaining the minimum of a functional estimating the
discrepancy between the model solutions and distributed observations. In our application, some simplified
hypotheses are used, namely the error of the model is neglected, only the initial conditions are considered as the
control variables, lateral boundary conditions are periodic and finally the observations are assumed to be distributed
in space and time. Derivation of the optimality system including the adjoint state, permits computing the gradient
of the cost functional with respect to the initial conditions which are used as control variables in the optimization.
Different numerical aspects related to the construction of the adjoint model and verification of its correctness are
addressed. The data assimilation set-up is tested for various mesh resolutions scenarios and different time steps
using a modular computer code. Finally, impact of large-scale minimization solvers L-BFGS is assessed for various lengths of the time windows.
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| Keywords: |
Variational data assimilation; Shallow-Water equations model Galerkin finite-Element; Adjoint
model; Limited-area boundary condition |
Author Information
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Detailed Scientific Article Information
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| Journal Name: |
STUDIES IN INFORMATICS AND CONTROL |
| Volume: |
18, No 1 |
| Page Range: |
41-62 |
Article Number: |
Not Provided |
| Number of Pages: |
22 |
| Year of Publication: |
2009 |
| Refereed: |
Yes |
| Digital Object Identifier (DOI), if available: |
Not Provided |
| Official Url: |
http://www.ici.ro/ici/revista/sic2009_1/ |
| ISSN: |
1220-1766 |
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Subjects Information
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1. Mathematics
2. Fluid Dynamics
3. Meteorology
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