Numerical approximation of the five-equation two-phase flow of Kapila et al.[AK Kapila, R.
Menikoff, JB Bdzil, SF Son, DS Stewart, Two-phase modeling of deflagration-to-detonation …

A new formulation of Kapila's five-equation model for inviscid, non-heat-conducting,
compressible two-fluid flow is derived, together with an appropriate numerical method. The …

An accurate treatment of material interfaces in compressible multiphase flows poses
important challenges for high-resolution numerical methods. Although high-order interface …

The relaxation-projection method developed in Saurel et al.[R. Saurel, E. Franquet, E.
Daniel, O. Le Metayer, A relaxation-projection method for compressible flows. Part I: The …

The accuracy of numerical simulations for the prediction of cavitation in cryogenic fluids is of
critical importance for the efficient design and performance of turbopumps in rocket …

Compressible multi-material flows are characterized by complex flow structures with a broad
range of length scales and discontinuities associated with material interfaces and shock …

This work is devoted to model the phase transition for two-phase flows with a mechanical
equilibrium model. First, a five-equation model is obtained by means of an asymptotic …

In this note, we justify rigorously the formal method proposed in [M. Hillairet, J. Math. Fluid
Mech. 2007] to derive viscous and compressible multi-component flow equations. We …

In order to present velocity and pressure spikes at material discontinuities occurring when
the interface-capturing schemes inconsistently simulate compressible multi-material gas …

The seven-equation model for compressible two-phase flows is a full non-equilibrium model;
each phase has its own pressure, velocity, temperature, etc. A single value for each …