000128072 001__ 128072
000128072 005__ 20240705134158.0
000128072 0247_ $$2doi$$a10.1016/j.cma.2023.116411
000128072 0248_ $$2sideral$$a135242
000128072 037__ $$aART-2023-135242
000128072 041__ $$aeng
000128072 100__ $$0(orcid)0000-0001-7056-6913$$aMairal, Juan$$uUniversidad de Zaragoza
000128072 245__ $$aThe entropy fix in augmented Riemann solvers in presence of source terms: Application to the Shallow Water Equations
000128072 260__ $$c2023
000128072 5060_ $$aAccess copy available to the general public$$fUnrestricted
000128072 5203_ $$aExtensions to the Roe and HLL method have been previously formulated in order to solve the Shallow Water equations in the presence of source terms. These were named the Augmented Roe (ARoe) method and the HLLS method, respectively. This paper continues developing these formulations by examining how entropy corrections can be appropriately fitted in for the ARoe method and how the HLLS method can be formulated more generally. This is done in two ways. Firstly, this paper extends the reasoning of Harten and Hyman required by the ARoe method to include the source term contributions and thus arrives to a more complete formulation of the entropy fix, which will be compared with the approximation presented in previous works through numerical experiments. Secondly, it is shown how a relaxation of the criteria used when choosing waves in the HLLS method yields better solutions to problems where the HLLS would previously fail. In summary, this paper seeks to offer a comprehensible review of the ARoe and HLLS methods while improving its performance in cases with transcritical rarefactions for the inhomogeneous Shallow Water Equations in one dimension.
000128072 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FEDER/T32-20R$$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R$$9info:eu-repo/grantAgreement/ES/MICIN/FPU21/02876$$9info:eu-repo/grantAgreement/ES/MINECO-MCIU/PGC2018-094341-B-I00
000128072 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000128072 592__ $$a2.397$$b2023
000128072 593__ $$aComputational Mechanics$$c2023$$dQ1
000128072 593__ $$aComputer Science Applications$$c2023$$dQ1
000128072 593__ $$aPhysics and Astronomy (miscellaneous)$$c2023$$dQ1
000128072 593__ $$aMechanics of Materials$$c2023$$dQ1
000128072 593__ $$aMechanical Engineering$$c2023$$dQ1
000128072 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000128072 700__ $$0(orcid)0000-0002-1386-5543$$aMurillo, Javier$$uUniversidad de Zaragoza
000128072 700__ $$0(orcid)0000-0001-8674-1042$$aGarcía-Navarro, Pilar$$uUniversidad de Zaragoza
000128072 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000128072 773__ $$g417, Part A (2023), 116411 [28 pp.]$$pComput. methods appl. mech. eng.$$tComputer Methods in Applied Mechanics and Engineering$$x0045-7825
000128072 8564_ $$s2112017$$uhttps://zaguan.unizar.es/record/128072/files/texto_completo.pdf$$yVersión publicada
000128072 8564_ $$s2132410$$uhttps://zaguan.unizar.es/record/128072/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000128072 909CO $$ooai:zaguan.unizar.es:128072$$particulos$$pdriver
000128072 951__ $$a2024-07-05-12:50:25
000128072 980__ $$aARTICLE