128072 20241125101145.0 doi 10.1016/j.cma.2023.116411 sideral 135242 ART-2023-135242 eng Mairal, Juan Universidad de Zaragoza (orcid)0000-0001-7056-6913 The entropy fix in augmented Riemann solvers in presence of source terms: Application to the Shallow Water Equations 2023 Access copy available to the general public Unrestricted Extensions 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. info:eu-repo/grantAgreement/ES/DGA-FEDER/T32-20R info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R info:eu-repo/grantAgreement/ES/MICIN/FPU21/02876 info:eu-repo/grantAgreement/ES/MINECO-MCIU/PGC2018-094341-B-I00 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/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 Murillo, Javier Universidad de Zaragoza (orcid)0000-0002-1386-5543 García-Navarro, Pilar Universidad de Zaragoza (orcid)0000-0001-8674-1042 5001 600 Universidad de Zaragoza Dpto. Ciencia Tecnol.Mater.Fl. Área Mecánica de Fluidos 417, Part A (2023), 116411 [28 pp.] Comput. methods appl. mech. eng. Computer Methods in Applied Mechanics and Engineering 0045-7825 2112017 http://zaguan.unizar.es/record/128072/files/texto_completo.pdf Versión publicada 2132410 http://zaguan.unizar.es/record/128072/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:128072 articulos driver 2024-11-22-12:04:11 ARTICLE