123912 20241125101130.0 doi 10.1016/j.amc.2022.127642 sideral 132372 ART-2023-132372 eng Echeverribar, I. (orcid)0000-0001-8221-523X Extension of a Roe-type Riemann solver scheme to model non-hydrostatic pressure shallow flows 2023 Access copy available to the general public Unrestricted The aim of this work is, first of all, to extend a finite volume numerical scheme, previously designed for hydrostatic Shallow Water (SWE) formulation, to Non Hydrostatic Pressure (NHP) depth averaged model. The second objective is focused on exploring two available options in the context of previous work in this field: Hyperbolic-Elliptic (HE-NHP) formulations solved with a Pressure-Correction technique (PCM) and Hyperbolic Relaxation formulations (HR-NHP). Thus, besides providing an extension of a robust and well-proved Roe-type scheme developed for hydrostatic SWE to solve NHP systems, the work assesses the use of first order numerical schemes in the kind of phenomena typically solved with higher order methods. In particular, the relative performance and differences of both NHP numerical models are explored and analysed in detail. The performance of the models is compared using a steady flow test case with quasi-analytical solution and another unsteady case with experimental data, in which frequencies are analysed in experimental and computational results. The results highlight the need to understand the behaviour of a parameter-dependent model when using it as a prediction tool, and the importance of a proper discretization of non-hydrostatic source terms to ensure stability. On the other hand, it is proved that the incorporation of a non-hydrostatic model to a shallow water Roe solver provides good results. info:eu-repo/grantAgreement/ES/MICINN-FEDER/PGC2018-094341-B-I00 info:eu-repo/grantAgreement/ES/MINECO/DIN2018-010036 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 3.5 2023 MATHEMATICS, APPLIED 10 / 332 = 0.03 2023 Q1 T1 1.026 2023 Computational Mathematics 2023 Q1 Applied Mathematics 2023 Q1 7.9 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Brufau, P. Universidad de Zaragoza (orcid)0000-0002-0415-0001 García-Navarro, P. Universidad de Zaragoza (orcid)0000-0001-8674-1042 5001 600 Universidad de Zaragoza Dpto. Ciencia Tecnol.Mater.Fl. Área Mecánica de Fluidos 440 (2023), 127642 [39 pp.] Appl. math. comput. Applied Mathematics and Computation 0096-3003 7859774 http://zaguan.unizar.es/record/123912/files/texto_completo.pdf Versión publicada 1829600 http://zaguan.unizar.es/record/123912/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:123912 articulos driver 2024-11-22-11:58:38 ARTICLE