In this paper, we present a unified nonequilibrium model of continuum mechanics for
compressible multiphase flows. The model, which is formulated within the framework of …

We present a new second order accurate structure-preserving finite volume scheme for the
solution of the compressible barotropic two-phase model of Romenski et. al in multiple …

In continuum thermodynamics, models of two-phase mixtures typically obey the condition of
pressure equilibrium across interfaces between the phases. We propose a new non …

We present a new second order accurate structure-preserving finite volume scheme for the
solution of the compressible isentropic two-phase model of Romenski et. al (Romenski J Sci …

We present a novel variational derivation of the Maxwell-GLM system, which augments the
original vacuum Maxwell equations via a generalized Lagrangian multiplier approach (GLM) …

In this paper, we present a new model for heat transfer in compressible fluid flows. The
model is derived from Hamilton's principle of stationary action in Eulerian coordinates, in a …

Multi-component Baer-Nunziato-type models for isothermal and isentropic fluids are
investigated. These are given by balance equations for volume fractions, density and …

In this thesis, I detail my contribution to the development of both the theoretical aspects of
modelling compressible and incompressible multi-phase flows and the design of suitable …