2026-06-07T04:49:52Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/386942026-02-03T10:59:59Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Gómez Bueno, Irene
author
Fernández Nieto, Enrique Domingo
author
Rubino, S.
2025-05-21T09:37:56Z
2025-05-21T09:37:56Z
2025-05-04
Gómez-Bueno, I., Fernández-Nieto, E. D., & Rubino, S. (2026). Well-balanced POD-based reduced-order models for finite volume approximation of hyperbolic balance laws. Journal of Computational and Applied Mathematics, 471, 116735.
0377-0427
https://hdl.handle.net/10630/38694
10.1016/j.cam.2025.116735
This paper introduces a reduced-order modeling approach based on finite volume methods for hyperbolic systems, combining Proper Orthogonal Decomposition (POD) with the Discrete Empirical Interpolation Method (DEIM) and Proper Interval Decomposition (PID). Applied to systems such as the transport equation with source term, non-homogeneous Burgers equation, and shallow water equations with non-flat bathymetry and Manning friction, this method achieves significant improvements in computational efficiency and accuracy compared to previous time-averaging techniques. A theoretical result justifying the use of well-balanced Full-Order Models (FOMs) is presented. Numerical experiments validate the approach, demonstrating its accuracy and efficiency. Furthermore, the question of prediction of solutions for systems that depend on some physical parameters is also addressed, and a sensitivity analysis on POD parameters confirms the model’s robustness and efficiency in this case.
eng
Atribución 4.0 Internacional
Método de los volúmenes finitos
Descomposición (Matemáticas)
Ecuaciones diferenciales hiperbólicas
Matemáticas aplicadas
Well-balanced POD-based reduced-order models for finite volume approximation of hyperbolic balance laws
journal article
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URL
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