Various mathematical approaches undertaken to model all stages of droplet freezing are
reviewed. The literature is rife with theoretical, experimental, and numerical treatments of the …

Droplet solidification has received much attention over the last two decades due its
relevance in natural processes as well as engineering applications. Study of droplet …

In this paper we first propose a phase-field model for the containerless freezing problems, in
which the volume expansion or shrinkage of the liquid caused by the density change during …

The commonly-adopted two-dimensional (2D) numerical simulations of melting in containers
have been proved to lead to significant deviations from the experimental results on a real …

A compound droplet solidifying on a cold curved surface in a gaseous environment is
numerically studied by an axisymmetric three-phase front tracking method. The compound …

A numerical model to simulate molten metal relocation with phase change is proposed,
coupling the level-set method to track the metal-gas interface and an enthalpy-porosity …

In this study, we present the three-phase numerical simulation results of an axisymmetric
compound drop solidifying on a cold plate by the front-tracking method. The compound drop …

A conservative sharp interface method is proposed in this work to simulate two-dimensional/
axisymmetric incompressible two-phase flows with phase change. In this method, we use …

In this paper, an isotherm-evolution-based algorithm is proposed for effective tracking of the
phase-change interface in temperature-driven solid-liquid phase-change process in …

In this study, we numerically investigate the solidification process of a suspended compound
droplet in a cold environment under forced convection by a front-tracking method. The …