Angle dependence in coupling conditions for shallow water equations at channel junctions. (15th February 2022)

• Record Type: Journal Article
• Authors: Briani, M.; Puppo, G.; Ribot, M.
• Is Part Of: Computers & mathematics with applications. Volume 108(2022)
• Page Start: 49
• Page End: 65
• Publication Date: 2022-02-15
• Subjects: Shallow water equations -- Angle dependence in coupling conditions -- Canals network -- Riemann problem; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2021.12.021
• Languages: English
• ISSNs: 0898-1221

Abstract

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