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| Content Provider | Springer Nature Link |
|---|---|
| Author | Souhar, O. Faure, J. B. Paquier, A. |
| Copyright Year | 2007 |
| Abstract | Given a numerical model for solving two-dimensional shallow water equations, we are interested in the robustness of the simulation by identifying the rate of change of the water depths and discharges with respect to a change in the bottom friction coefficients. Such a sensitivity analysis can be carried out by computing the corresponding derivatives. Automatic differentiation (AD) is an efficient numerical method, free of approximation errors, to evaluate derivatives of the objective function specified by the computer program, Rubar20 for example. In this paper AD software tool Tapenade is used to compute forward derivatives. Numerical tests were done to show the robustness of the model and to demonstrate the efficiency of these AD-derivatives. |
| Starting Page | 303 |
| Ending Page | 315 |
| Page Count | 13 |
| File Format | |
| ISSN | 15677419 |
| Journal | Environmental Fluid Mechanics |
| Volume Number | 7 |
| Issue Number | 4 |
| e-ISSN | 15731510 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2007-07-25 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Automatic differentiation Hydraulic model Sensitivity analysis Uncertainty propagation Steady flow Oceanography Meteorology/Climatology Hydrogeology Mechanics Environmental Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Environmental Chemistry Water Science and Technology |
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