30 citations · 72 across the 7 of their papers we have counts for
7 papers · 1 filter
On the intrinsic hydrostatic energy structure of the barotropic compressible primitive equations
Mamadou Korca Ba, Mehmet Ersoy, Timack Ngom
In the compressible primitive equations, gravity is not merely a source term: through the hydrostatic balance it forces, it organizes the system's energy geometry. The hydrostatic…
Unsteady mixed flows in non uniform closed water pipes: a Full Kinetic Appraoch
Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi
We recall the PFS model constructed for the modeling of unsteady mixed flows in closed water pipes where transition points between the free surface and pressurized flow are treated…
A mathematical model for unsteady mixed flows in closed water pipes
Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi
We present the formal derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipe. In the case of free surface incompressible flows, the \FS-…
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…
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…
A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme
Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi
We present the derivation of a new unidirectional model for We present the derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipes. We i…
A Construction of Biorthogonal Wavelets With a Compact Operator
Mehmet Ersoy
We present a construction of biorthogonal wavelets using a compact operator which allows to preserve or increase some properties: regularity/vanishing moments, parity, compact supp…