000153165 001__ 153165
000153165 005__ 20251017144633.0
000153165 0247_ $$2doi$$a10.1016/j.cma.2025.117919
000153165 0248_ $$2sideral$$a143630
000153165 037__ $$aART-2025-143630
000153165 041__ $$aeng
000153165 100__ $$0(orcid)0000-0001-7056-6913$$aMairal, Juan$$uUniversidad de Zaragoza
000153165 245__ $$aThe Junction Riemann Problem in 1D shallow water channels including supercritical flow conditions
000153165 260__ $$c2025
000153165 5203_ $$aThis work presents an advancement in solving the Shallow Water Equations (SWE) in one-dimensional (1D) networks of channels using the Junction Riemann Problem (JRP). The necessity for robust solvers for junctions in networks is evident from the extensive literature and the variety of proposed methods. While multidimensional coupled approaches that model junctions as two-dimensional spaces have shown success, they lack the computational efficiency of pure 1D methods that treat junctions as singular points. In this context, existing JRP-based methods have primarily been limited to subcritical flow regimes. For the first time, this paper demonstrates that the Junction Riemann Problem can be effectively used as an internal boundary condition across all flow regimes representing a junction of channels. The proposed JRP solution is both simple and robust, accommodating various flow regimes and an arbitrary number of channels without requiring additional information. Furthermore, it is shown that the JRP can be solved efficiently at internal boundaries and integrated with a standard first-order Godunov scheme to yield accurate results. The validation of this method is confirmed through a series of test cases, highlighting its effectiveness in modeling free-surface flows.
000153165 536__ $$9info:eu-repo/grantAgreement/ES/DGA/T32-23R$$9info:eu-repo/grantAgreement/ES/MICIN/FPU21/02876$$9info:eu-repo/grantAgreement/ES/MICINN/PID2022-137334NB-I00
000153165 540__ $$9info:eu-repo/semantics/closedAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000153165 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000153165 700__ $$0(orcid)0000-0002-1386-5543$$aMurillo, Javier$$uUniversidad de Zaragoza
000153165 700__ $$0(orcid)0000-0001-8674-1042$$aGarcia-Navarro, Pilar$$uUniversidad de Zaragoza
000153165 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000153165 773__ $$g440 (2025), 117919 [24 pp.]$$pComput. methods appl. mech. eng.$$tComputer Methods in Applied Mechanics and Engineering$$x0045-7825
000153165 8564_ $$s2463541$$uhttps://zaguan.unizar.es/record/153165/files/texto_completo.pdf$$yVersión publicada
000153165 8564_ $$s2016617$$uhttps://zaguan.unizar.es/record/153165/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000153165 909CO $$ooai:zaguan.unizar.es:153165$$particulos$$pdriver
000153165 951__ $$a2025-10-17-14:27:23
000153165 980__ $$aARTICLE