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

TL;DR

This paper introduces a numerical solver for shallow water canal junctions that accounts for intersection angles and varying canal sections, improving the accuracy of network flow simulations.

Contribution

It presents a novel Riemann problem solver that incorporates angle-dependent junction conditions and variable canal geometries.

Findings

Angle dependence significantly affects solution reliability.

Numerical tests demonstrate improved accuracy with the proposed method.

The solver effectively handles canals with different sections.

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.