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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Van Tri Nguyen Georges, D. Besancon, G. |
| Copyright Year | 2014 |
| Description | Author affiliation: Gipsa-Lab., Univ. Grenoble Alpes, St. Martin d'Hères, France (Van Tri Nguyen; Georges, D.; Besancon, G.) |
| Abstract | In this paper, an optimal estimation method for initial conditions in an overland flow based on the adjoint method is presented. This system is described by an infinite dimensional model given by the first continuity equation of the well-known one-dimensional Saint-Venant equations. Infiltration process is also taken account in this work by using the so-called Green-Ampt model. The adjoint model is obtained by means of a variational approach. Both the system and adjoint equations are numerically solved by using the nonlinear implicit Preissmann scheme. From the combination between the steepest descent method and a line search method, the cost functional is optimized in order to estimate the mentioned initial conditions from a set of lumped observation values. Finally, a simulation example with a simple overland flow and infiltration in a variable rainfall period is presented in order to demonstrate the effectiveness of this solution. |
| Starting Page | 2034 |
| Ending Page | 2039 |
| File Size | 913660 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781479974092 |
| DOI | 10.1109/CCA.2014.6981602 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2014-10-08 |
| Publisher Place | France |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Mathematical model Equations Numerical models Estimation Soil Optimization Analytical models Inverse problem Overland flow Infinite dimensional system State estimation Saint-Venant equations Green-Ampt infiltration model |
| Content Type | Text |
| Resource Type | Article |
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