30 citations · 72 across the 7 of their papers we have counts for
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math.AP2009★ 4 cited
A kinetic scheme for transient mixed flows in non uniform closed pipes: a global manner to upwind all the source terms
Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi
We present a numerical kinetic scheme for an unsteady mixed pressurised and free surface model. This model has a source term depending on both the space variable and the unknown, U…
math.AP2009★ 10 cited
Air entrainment in transient flows in closed water pipes: a two-layer approach
Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi
In this paper, we first construct a model for free surface flows that takes into account the air entrainment by a system of four partial differential equations. We derive it by tak…