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math.NA2025
A relaxation scheme for the equations of isentropic gas dynamics on a network with jump transmission conditions
Magali Ribot, Roberto Natalini, Maya Briani
In this paper we propose a new numerical scheme of relaxation type to approximate the Euler equations of isentropic gas dynamics on the arcs of a network. At the junction mass cons…
math.NA2021
Angle dependence in coupling conditions for shallow water equations at canal junctions
Maya Briani, Gabriella Puppo, Magali Ribot
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 wi…