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A surrogate model for efficient quantification of uncertainties in multilayer shallow water flows

Al-Ghosoun, Alia; El Moçayd, Nabil; Seaid, Mohammed

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Authors

Nabil El Moçayd



Abstract

In this study, we investigate the implementation of a Proper Orthogonal Decomposition (POD) Polynomial Chaos Expansion (PCE) POD-PCE surrogate model for the propagation and quantification of the uncertainty in hydraulic modelling. The considered model consists of a system of multilayer shallow water equations with a mass exchange between the layers and over stochastic beds. As a numerical solver, we propose a finite volume characteristics method that does not require eigenstructure of the system in its implementation. The method is fast, accurate and can be used for both slowly and rapidly hydraulic simulations. The propagation and influence of several uncertainty parameters are quantified in the considered numerical methods for multilayer shallow water flows. To reduce the required number of samples for uncertainty quantification, we combine the proper orthogonal decomposition method with the polynomial Chaos expansions for efficient uncertainty quantification of complex hydraulic problems with a large number of random variables. Numerical results are shown for several test examples including a dam-break problem over a flat bed, and a wind-driven recirculation flow on flat and non-flat bottoms. Results are also presented for the case study of a recirculation flow problem in the Strait of Gibraltar. The results demonstrate the robustness of the uncertainty quantification method compared to the standard Monte-Carlo simulations. The results presented in this study suggest that the use of surrogate modelling may save a considerable amount of the necessary computational cost for all the considered cases.

Citation

Al-Ghosoun, A., El Moçayd, N., & Seaid, M. (2021). A surrogate model for efficient quantification of uncertainties in multilayer shallow water flows. Environmental Modelling and Software, 144, Article 105176. https://doi.org/10.1016/j.envsoft.2021.105176

Journal Article Type Article
Acceptance Date Aug 17, 2021
Online Publication Date Aug 24, 2021
Publication Date 2021-10
Deposit Date Oct 26, 2021
Publicly Available Date Mar 29, 2024
Journal Environmental Modelling and Software
Print ISSN 1364-8152
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 144
Article Number 105176
DOI https://doi.org/10.1016/j.envsoft.2021.105176

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