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Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2007

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

Christian Bourdarias
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Stéphane Gerbi
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Résumé

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.
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Dates et versions

hal-00387190 , version 1 (24-05-2009)

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  • HAL Id : hal-00387190 , version 1

Citer

Christian Bourdarias, Stéphane Gerbi. A finite volume scheme for a model coupling free surface and pressurised flows in pipes. Journal of Computational and Applied Mathematics, 2007, 209 (1), pp.109-131. ⟨hal-00387190⟩
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