131699 20240219150720.0 doi 10.1016/j.jcp.2012.06.017 sideral 77676 ART-2012-77676 eng Morales-Hernandez,M. Universidad de Zaragoza (orcid)0000-0001-6961-7250 A large time step 1D upwind explicit scheme (CFL > 1): Application to shallow water equations 2012 It is possible to relax the Courant–Friedrichs–Lewy condition over the time step when using explicit schemes. This method, proposed by Leveque, provides accurate and correct solutions of non-sonic shocks. Rarefactions need some adjustments which are explored in the present work with scalar equation and systems of equations. The non-conservative terms that appear in systems of conservation laws introduce an extra difficulty in practical application. The way to deal with source terms is incorporated into the proposed procedure. The boundary treatment is analysed and a reflection wave technique is considered. In presence of strong discontinuities or important source terms, a strategy is proposed to control the stability of the method allowing the largest time step possible. The performance of the above scheme is evaluated to solve the homogeneous shallow water equations and the shallow water equations with source Access copy available to the general public Unrestricted info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.138 2012 PHYSICS, MATHEMATICAL 8 / 55 = 0.145 2012 Q1 T1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS 19 / 100 = 0.19 2012 Q1 T1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion García-Navarro,P. Universidad de Zaragoza (orcid)0000-0001-8674-1042 Murillo, J. Universidad de Zaragoza (orcid)0000-0002-1386-5543 5001 600 Universidad de Zaragoza Dpto. Ciencia Tecnol.Mater.Fl. Área Mecánica de Fluidos 231 (2012), 6532-6557 J. comput. phys. Journal of Computational Physics 0021-9991 625782 http://zaguan.unizar.es/record/131699/files/texto_completo.pdf Postprint 1539126 http://zaguan.unizar.es/record/131699/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:131699 articulos driver 2024-02-19-13:24:00 ARTICLE