▪ Abstract We review the development of diffuse-interface models of hydrodynamics and
their application to a wide variety of interfacial phenomena. These models have been …

In this paper, we develop a phase-field model for binary incompressible (quasi-
incompressible) fluid with thermocapillary effects, which allows for the different properties …

We present a positivity preserving variational scheme for the phase-field modeling of
incompressible two-phase flows with high density ratio. The variational finite element …

Before proceeding with the variational formulation of the fluid-structure coupled system, let
us look at the convection-diffusion-reaction (CDR) equation which forms a canonical …

We present a partitioned iterative formulation for the modeling of fluid‐structure interaction
(FSI) in two‐phase flows. The variational formulation consists of a stable and robust …

We present a diffuse-interface treatment of the internal gravity waves which have been
observed experimentally by Berg et al. in xenon near its thermodynamic critical point. The …

A thermodynamically consistent diffuse interface model is developed for two-phase flows
with phase transition. Inside the liquid-vapor mixing layer, the Cahn-Hilliard equation …

Evaporation of a spherically symmetric sub-micrometer size liquid droplet is studied using a
diffuse interface hydrodynamic model supplemented by the van der Waals equation of state …

The paper is devoted to a description of the DiMP-Hydro software package being developed
at the Keldysh Institute of Applied Mathematics (Russian Academy of Sciences). It is …

In this paper a previously developed diffuse-interface method for numerical simulation of
isothermal two-phase flow of a single component is extended to non-isothermal situations …