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2766. Estimation of Hydraulic Parameters Using the Augmented Lagrange Method

Invited abstract in session MA-32: Large Scale Constrained Optimization: Algorithms and Applications, stream Advances in large scale nonlinear optimization.

Monday, 8:30-10:00
Room: 41 (building: 303A)

Authors (first author is the speaker)

1. Fabio Fortunato Filho
Department of Applied MathematicsIMECC, The State University of Campinas (UNICAMP)
2. José Mario Martínez
Dept. Applied Mathematics, University of Campinas

Abstract

The importance of hydraulic studies is undeniable in understanding the behavior of fluids in natural and constructed environments, such as channels, rivers, and streams. The Saint-Venant equations, a widely adopted one-dimensional model, are crucial for this understanding. However, ensuring the representativeness of these equations requires considering all boundary conditions, which includes estimating the Manning roughness coefficient. This estimation, essential for accounting for fluid friction with different surfaces, is a notable challenge due to the coefficient's variability along the channel. In this context, we propose an approach that utilizes the Augmented Lagrange Method to minimize errors in solving differential equations at different points. Additionally, we employ the PRIMA software (BOBYQA) with space reduction based on interpolation to estimate the Manning coefficient. This methodology was applied to the East Fork river, and even with few days of training data, we achieved relevant results in describing the behavior of this river.

Keywords

Status: accepted

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