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- W1536444949 abstract "Optimal control of a finite element limited-area shallo' vater equations model is explored with a view to applying variational data assimilation(VDA) by obtaining the minimum of a functional estimating the discrepancy bern'cen the model solutions and distrihuted 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, pennits 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 (If the adjoint model and verification of its correctness are addressed. The data assimilation set-up is tested fl.)r various mesh resolutions scenarios and different time steps using a modular computer code. Finally, impact oflarge-scale minimization solvers L-BFGS is assessed for various lengths ofthc time windows." @default.
- W1536444949 created "2016-06-24" @default.
- W1536444949 creator A5045133255 @default.
- W1536444949 date "2009-01-01" @default.
- W1536444949 modified "2023-10-03" @default.
- W1536444949 title "Optimal Control of a Finite-Element Limited-Area Shallow-Water Equations Model" @default.
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