A finite volume scheme for a model coupling free surface and pressurised flows in pipes

Authors:
C. Bourdarias;S. Gerbi
Affiliations:
Université de Savoie, LAMA, GM3, 73376 Le Bourget-du-Lac Cedex, France;Université de Savoie, LAMA, GM3, 73376 Le Bourget-du-Lac Cedex, France
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

A model is derived for the coupling of transient free surface and pressurized flows. The resulting system of equations is written under a conservative form with discontinuous gradient of pressure. We treat the transition point between the two types of flows as a free boundary associated to a discontinuity of the gradient of pressure. The numerical simulation is performed by making use of a Roe-like finite volume scheme that we adapted to such discontinuities in the flux. The validation is performed by comparison with experimental results.