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.
Angle dependence in coupling conditions for shallow water equations at channel junctions / Briani, M; Puppo, G; Ribot, M. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - 108:(2022), pp. 49-65. [10.1016/j.camwa.2021.12.021]
Angle dependence in coupling conditions for shallow water equations at channel junctions
Briani, M
;Puppo, G;Ribot, M
2022
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.| File | Dimensione | Formato | |
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