Balanced semi-implicit Roe scheme for open channel fl ow equations

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Abstract

In this paper we present an extension of balanced upwind explicit fi nite volume schemes designed in [12] to semi-implicit ones. Particularly, those schemes are applied to open-channel fl ows with general geometries and we verify the exact conservation property (C-property). We present the algorithm, the proof of exact C-property and results for several test cases. Also, we test and compare balanced semi-implicit with the explicit schemes on standard test cases and on cases involving friction, non-uniform bed slopes and strong channel width variations.

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