Comparison of One-Dimensional Interface-Following and Enthalpy Methods for the Numerical Solution of Phase Change

Lattice Boltzmann Method for Numerical Simulation of Phase Change Problem

“…Due to the inherent nonlinearities, mainly caused by formation and propagation of the moving phase-change interface, the analytical solutions to these problems are limited to problems with simple geometry and boundary conditions [4][5]. Numerical methods are, therefore, more frequently employed in solving such phase-change problems and have led to spectacular results [6][7][8][9][10][11].…”

Modelling of simultaneous estimating the laser heat flux and melted depth during laser processing by inverse methodology

“…It is well known that the melted depth during laser machining is difficult to measure and calculate accurately. Generally, the enthalpy method and the interface-following method are applied for analyzing the phase-change problem [3,4], but they have been proven to be inaccurate at high heat transfer rates [5]. Xie and Kar [6] assumed the temperature profiles of the solid and liquid regions and obtained the approximate melt depth.…”

A numerical method for the Rubinstein binary-alloy problem in the presence of an under-cooled liquid

“…From the calculated nodal enthalpy field an auxiliary variable-the liquid fraction (f = 1 in liquid, f = 0 in solid)-can be extracted and used to track the movement of the solid-liquid interface [4][5][6]. Enthalpy methods have been extensively verified against alternative approaches for tracking solidification fronts, e.g., front fixing [7], deforming grids [8], and semianalytical [9].…”