A XFEM PHASE CHANGE MODEL WITH CONVECTION

Study of Free Convection in binary systems with Phase Change

A phase-field model with convection: sharp-interface asymptotics

We have previously developed a phase-field model of solidification that includes convection in the melt [Physica D 135 (2000) 175]. This model represents the two phases as viscous liquids, where the putative solid phase has a viscosity much larger than the liquid phase. The object of this paper is to examine in detail a simplified version of the governing equations for this phase-field model in...

A phase-field model of solidification with convection

We develop a phase-field model for the solidification of a pure material that includes convection in the liquid phase. The model permits the interface to have an anisotropic surface energy, and allows a quasi-incompressible thermodynamic description in which the densities in the solid and liquid phases may each be uniform. The solid phase is modeled as an extremely viscous liquid, and the forma...

An Enhanced Mathematical Model for Phase Change Problems with Natural Convection

The enthalpy-porosity technique is commonly used for modeling phase change problems with natural convection. In most applications however, this technique is restricted to equal thermophysical properties of solid and liquid phases. In this paper, an enhanced formulation based on the enthalpy-porosity method is proposed where the different thermophysical properties between the two phases can be e...

A Newton method with adaptive finite elements for solving phase-change problems with natural convection

Article history: Received 27 May 2013 Received in revised form 4 June 2014 Accepted 19 June 2014 Available online 26 June 2014