126832 20241125101147.0 doi 10.1016/j.jcp.2023.112273 sideral 134166 ART-2023-134166 eng Navas-Montilla, A. Universidad de Zaragoza (orcid)0000-0002-3465-6898 A family of well-balanced WENO and TENO schemes for atmospheric flows 2023 Access copy available to the general public Unrestricted We herein present a novel methodology to construct very high order well-balanced schemes for the computation of the Euler equations with gravitational source term, with application to numerical weather prediction (NWP). The proposed method is based on augmented Riemann solvers, which allow preserving the exact equilibrium between fluxes and source terms at cell interfaces. In particular, the augmented HLL solver (HLLS) is considered. Different spatial reconstruction methods can be used to ensure a high order of accuracy in space (e.g. WENO, TENO, linear reconstruction), being the TENO reconstruction the preferred method in this work. To the knowledge of the authors, the TENO method has not been applied to NWP before, although it has been extensively used by the computational fluid dynamics community in recent years. Therefore, we offer a thorough assessment of the TENO method to evidence its suitability for NWP considering some benchmark cases which involve inertia and gravity waves as well as convective processes. The TENO method offers an enhanced behavior when dealing with turbulent flows and underresolved solutions, where the traditional WENO scheme proves to be more diffusive. The proposed methodology, based on the HLLS solver in combination with a very high-order discretization, allows carrying out the simulation of meso- and micro-scale atmospheric flows in an implicit Large Eddy Simulation manner. Due to the HLLS solver, the isothermal, adiabatic and constant Brunt-Väisälä frequency hydrostatic equilibrium states are preserved with machine accuracy. info:eu-repo/grantAgreement/ES/DGA-FEDER/T32-20R info:eu-repo/grantAgreement/ES/UZ/Fundación Universitaria Antonio Gargallo-2021-B010 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 3.8 2023 PHYSICS, MATHEMATICAL 3 / 60 = 0.05 2023 Q1 T1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS 52 / 170 = 0.306 2023 Q2 T1 1.679 2023 Applied Mathematics 2023 Q1 Computational Mathematics 2023 Q1 Physics and Astronomy (miscellaneous) 2023 Q1 Modeling and Simulation 2023 Q1 Numerical Analysis 2023 Q1 Computer Science Applications 2023 Q1 7.6 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Echeverribar, I. (orcid)0000-0001-8221-523X 5001 600 Universidad de Zaragoza Dpto. Ciencia Tecnol.Mater.Fl. Área Mecánica de Fluidos 489 (2023), 112273 [26 pp.] J. comput. phys. Journal of Computational Physics 0021-9991 6143413 http://zaguan.unizar.es/record/126832/files/texto_completo.pdf Versión publicada 2039191 http://zaguan.unizar.es/record/126832/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:126832 articulos driver 2024-11-22-12:04:56 ARTICLE