On the construction of upwind schemes for non-equilibrium transient two-phase flows

A three-dimensional transient two-phase flow analysis with a density pertubation finite volume method

“…are also 3D extensions of the ones presented in [4] in 2D. The details about the physical closure laws can be found in [1].…”

“…We refer to [4] and [1][11] [12] for the details of the closure modelings. These modelings concern the source terms (the interphase drag force − → F i k , the interfacial heat transfert Q i k and the mass transfert Γ k ) and the pressure fluctuation p i k .…”

“…We extend to the three dimensions of space the simplified two-fluid model presented in [4] for the two dimension of space. The velocity of the phase k is written as :…”

“…5 and the Jacobian matrix of the conservative part of the two-fluid system at order zero writes [4] :…”

Simulation of two-phase flow through ducts with discontinuous cross-section

“…Given their importance for the modelling of two-phase flows, a great deal of research has focussed on the numerical solution of the multi-fluid equations (see for example Cortes, 2002;Yeom and Chang, 2013;Saurel et al, 2008). A scheme which has received attention in this respect is the AUSM+-up of Liou (2006), first applied to the two-fluid model by Paillere et al (2003).…”