000131699 001__ 131699
000131699 005__ 20240219150720.0
000131699 0247_ $$2doi$$a10.1016/j.jcp.2012.06.017
000131699 0248_ $$2sideral$$a77676
000131699 037__ $$aART-2012-77676
000131699 041__ $$aeng
000131699 100__ $$0(orcid)0000-0001-6961-7250$$aMorales-Hernandez,M.$$uUniversidad de Zaragoza
000131699 245__ $$aA large time step 1D upwind explicit scheme (CFL > 1): Application to shallow water equations
000131699 260__ $$c2012
000131699 5060_ $$aAccess copy available to the general public$$fUnrestricted
000131699 5203_ $$aIt 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
000131699 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000131699 590__ $$a2.138$$b2012
000131699 591__ $$aPHYSICS, MATHEMATICAL$$b8 / 55 = 0.145$$c2012$$dQ1$$eT1
000131699 591__ $$aCOMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS$$b19 / 100 = 0.19$$c2012$$dQ1$$eT1
000131699 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000131699 700__ $$0(orcid)0000-0001-8674-1042$$aGarcía-Navarro,P.$$uUniversidad de Zaragoza
000131699 700__ $$0(orcid)0000-0002-1386-5543$$aMurillo, J.$$uUniversidad de Zaragoza
000131699 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000131699 773__ $$g231 (2012), 6532-6557$$pJ. comput. phys.$$tJournal of Computational Physics$$x0021-9991
000131699 8564_ $$s625782$$uhttps://zaguan.unizar.es/record/131699/files/texto_completo.pdf$$yPostprint
000131699 8564_ $$s1539126$$uhttps://zaguan.unizar.es/record/131699/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000131699 909CO $$ooai:zaguan.unizar.es:131699$$particulos$$pdriver
000131699 951__ $$a2024-02-19-13:24:00
000131699 980__ $$aARTICLE