000148937 001__ 148937
000148937 005__ 20250123152145.0
000148937 0247_ $$2doi$$a10.1016/j.cma.2024.117702
000148937 0248_ $$2sideral$$a142096
000148937 037__ $$aART-2025-142096
000148937 041__ $$aeng
000148937 100__ $$aSolán-Fustero, P.$$uUniversidad de Zaragoza
000148937 245__ $$aCombination of intrusive POD-based reduced-order models and augmented Riemann solvers applied to unsteady 2D shallow water equations
000148937 260__ $$c2025
000148937 5060_ $$aAccess copy available to the general public$$fUnrestricted
000148937 5203_ $$aThe shallow water equations (SWEs) can be used to model the spatio-temporal evolution of free surface flows. The numerical resolution of realistic problems based on the 2D SWEs by means of augmented Roe-based (ARoe) methods requires the inclusion of certain numerical corrections to avoid non-physical results in presence of irregular topography and wet dry fronts. Besides that, their complex and transient nature involves high computational costs. In this direction, intrusive reduced-order models (ROMs) based on the proper orthogonal decomposition (POD) are presented as alternative to speed up computational calculations without compromising the accuracy of the solutions. The main objective of this article is to study whether the inclusion of numerical corrections in the ROM strategy of the 2D SWEs for non trivial situations is necessary to obtain accurate solutions or not, and, if necessary, to present their reduced version. In addition to this, it is proposed to solve problems with Dirichlet-type boundary conditions (BCs) by means of ROMs using a technique whereby the BCs are directly integrated into the on-line phase of ROM solving. The efficiency of the ARoe-based ROM has been tested with respect to the full-order model by comparing their computational cost and the accuracy of their solutions in different numerical cases.
000148937 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/PID2022-137334NB-I00
000148937 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000148937 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000148937 700__ $$0(orcid)0000-0003-2538-9027$$aGracia, J.L.$$uUniversidad de Zaragoza
000148937 700__ $$0(orcid)0000-0002-3465-6898$$aNavas-Montilla, A.$$uUniversidad de Zaragoza
000148937 700__ $$0(orcid)0000-0001-8674-1042$$aGarcía-Navarro, P.$$uUniversidad de Zaragoza
000148937 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000148937 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000148937 773__ $$g436 (2025), 117702 [28 pp.]$$pComput. methods appl. mech. eng.$$tComputer Methods in Applied Mechanics and Engineering$$x0045-7825
000148937 8564_ $$s5852845$$uhttps://zaguan.unizar.es/record/148937/files/texto_completo.pdf$$yVersión publicada
000148937 8564_ $$s1957366$$uhttps://zaguan.unizar.es/record/148937/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000148937 909CO $$ooai:zaguan.unizar.es:148937$$particulos$$pdriver
000148937 951__ $$a2025-01-23-14:47:24
000148937 980__ $$aARTICLE