Angle dependence in coupling conditions for shallow water equations at canal junctions

2021/05/01 by Maya Briani, Gabriella Puppo, Briani, Maya +3 · 1 citation
Engineering · #35M13 #65M08 #76G #Advanced Numerical Methods in Computational Mathematics #Computational Engineering #Computational Fluid Dynamics and Aerodynamics #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Finance #Hydraulic flow and structures #Mathematical Physics (math-ph) #Numerical Analysis (math.NA) #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.2105.01741

openalex publication_date 2021/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we propose a numerical Riemann problem solver at the junction of one dimensional shallow-water canal networks. The junction conditions take into account the angles with which the channels intersect and include the possibility of canals with different sections. The solver is illustrated with several numerical tests which underline the importance of the angle dependence to obtain reliable solutions.

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