000126471 001__ 126471
000126471 005__ 20230621161011.0
000126471 0247_ $$2doi$$a10.1016/j.cma.2023.116038
000126471 0248_ $$2sideral$$a133850
000126471 037__ $$aART-2023-133850
000126471 041__ $$aeng
000126471 100__ $$aSolán-Fustero, P.$$uUniversidad de Zaragoza
000126471 245__ $$aDevelopment of POD-based Reduced Order Models applied to shallow water equations using augmented Riemann solvers
000126471 260__ $$c2023
000126471 5060_ $$aAccess copy available to the general public$$fUnrestricted
000126471 5203_ $$aReduced-order models (ROMs) based on the proper orthogonal decomposition have been proposed to reduce the computational resources required by the full-order models (FOMs) to approximate partial differential equations. In this paper a Roe-based ROM is developed to solve the shallow water equations in presence of source terms more efficiently than the Roe-based FOM. The well-balanced property and other numerical corrections such as the entropy fix and the wet–dry treatment are taken into account using augmented Riemann solvers to build the Roe-based FOM. In addition to this, a time averaging approach is necessary to develop the Roe-based ROM. This approach is validated by solving some cases and the computed solutions are compared with those ones of Lax–Friedrichs-based ROMs. It is also studied whether the ROM preserves or not the well-balancing, the entropy fix and the wet–dry treatment.
000126471 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R$$9info:eu-repo/grantAgreement/ES/DGA-FEDER/T32-20R$$9info:eu-repo/grantAgreement/ES/MICINN-FEDER/PGC2018-094341-B-I00
000126471 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000126471 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000126471 700__ $$0(orcid)0000-0003-2538-9027$$aGracia, J.L.$$uUniversidad de Zaragoza
000126471 700__ $$0(orcid)0000-0002-3465-6898$$aNavas-Montilla, A.$$uUniversidad de Zaragoza
000126471 700__ $$0(orcid)0000-0001-8674-1042$$aGarcía-Navarro, P.$$uUniversidad de Zaragoza
000126471 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000126471 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000126471 773__ $$g410 (2023), 116038 [27 pp.]$$pComput. methods appl. mech. eng.$$tComputer Methods in Applied Mechanics and Engineering$$x0045-7825
000126471 8564_ $$s3040943$$uhttps://zaguan.unizar.es/record/126471/files/texto_completo.pdf$$yVersión publicada
000126471 8564_ $$s2181200$$uhttps://zaguan.unizar.es/record/126471/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000126471 909CO $$ooai:zaguan.unizar.es:126471$$particulos$$pdriver
000126471 951__ $$a2023-06-21-14:50:54
000126471 980__ $$aARTICLE