115. Derivative-Free Optimization Applied to Hydraulic Coefficient Estimation
Invited abstract in session WC-7: Optimization applications I, stream Optimization applications.
Wednesday, 10:05 - 11:20Room: M:I
Authors (first author is the speaker)
| 1. | Fabio Fortunato Filho
|
| Department of Applied MathematicsIMECC, The State University of Campinas (UNICAMP) | |
| 2. | José Mario MartÃnez
|
| Dept. Applied Mathematics, University of Campinas |
Abstract
To comprehend and contribute to decision-making in situations of environmental disasters related to rivers, hydraulic studies play a crucial role. In the case of dam ruptures, for example, it is vital to consider both short-term and long-term challenges. For this study, it is necessary to have access to the maximum amount of available information in order to apply mathematical models capable of accurately representing reality. In this context, the Saint-Venant equations, a widely used one-dimensional model, play a fundamental role. One of the most challenging parameters to measure is the Manning roughness coefficient, whose precise determination is essential as it considers the fluid friction with different surfaces. Estimating this parameter is particularly challenging due to possible variations along the channel. In this scenario, aiming to estimate the Manning coefficient, we propose an approach that utilizes the Augmented Lagrange Method, aiming to minimize errors in solving differential equations at different points, without extrapolating the coefficient variations. To address this issue, we will use the PRIMA (BOBYQA) software with interpolation-based space reduction. This model was applied to the East Fork river, seeking to predict information at different points, considering boundary conditions and estimated parameters.
Keywords
- Derivative-free optimization
- Convex and non-smooth optimization
Status: accepted
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