126471 20251219150010.0 doi 10.1016/j.cma.2023.116038 sideral 133850 ART-2023-133850 eng Solán-Fustero, P. Universidad de Zaragoza (orcid)0000-0003-0846-6262 Development of POD-based Reduced Order Models applied to shallow water equations using augmented Riemann solvers 2023 Access copy available to the general public Unrestricted Reduced-order models (ROMs) based on the proper orthogonal decomposition have been proposed to reduce the computational resources required by the full-order models (FOMs) to approximate partial differential equations. In this paper a Roe-based ROM is developed to solve the shallow water equations in presence of source terms more efficiently than the Roe-based FOM. The well-balanced property and other numerical corrections such as the entropy fix and the wet–dry treatment are taken into account using augmented Riemann solvers to build the Roe-based FOM. In addition to this, a time averaging approach is necessary to develop the Roe-based ROM. This approach is validated by solving some cases and the computed solutions are compared with those ones of Lax–Friedrichs-based ROMs. It is also studied whether the ROM preserves or not the well-balancing, the entropy fix and the wet–dry treatment. info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R info:eu-repo/grantAgreement/ES/DGA-FEDER/T32-20R info:eu-repo/grantAgreement/ES/MICINN-FEDER/PGC2018-094341-B-I00 info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 6.9 2023 MECHANICS 7 / 170 = 0.041 2023 Q1 T1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 4 / 135 = 0.03 2023 Q1 T1 ENGINEERING, MULTIDISCIPLINARY 6 / 181 = 0.033 2023 Q1 T1 2.397 2023 Computational Mechanics 2023 Q1 Computer Science Applications 2023 Q1 Physics and Astronomy (miscellaneous) 2023 Q1 Mechanics of Materials 2023 Q1 Mechanical Engineering 2023 Q1 12.7 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Gracia, J.L. Universidad de Zaragoza (orcid)0000-0003-2538-9027 Navas-Montilla, A. Universidad de Zaragoza (orcid)0000-0002-3465-6898 García-Navarro, P. Universidad de Zaragoza (orcid)0000-0001-8674-1042 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 5001 600 Universidad de Zaragoza Dpto. Ciencia Tecnol.Mater.Fl. Área Mecánica de Fluidos 410 (2023), 116038 [27 pp.] Comput. methods appl. mech. eng. Computer Methods in Applied Mechanics and Engineering 0045-7825 3040943 http://zaguan.unizar.es/record/126471/files/texto_completo.pdf Versión publicada 2181200 http://zaguan.unizar.es/record/126471/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:126471 articulos driver 2025-12-19-14:58:13 ARTICLE