... in time dependent domains. Front tracking Stefan problem Adaptive mesh Hydrogeology (1) T ( x , z = 0 ) = T 0 ( 4.5 − 4 x l ) With the first setting, the melt front will move upward as a horizontal line. With the second setting, as time increases, the melt...

...Lipi Jain; Jaya Joshi; Rajeev Purpose The main purpose of this paper is given below: To present a mathematical model of a two-phase Stefan problem including a moving phase change material and variable thermophysical properties. To find a numerical solution of the problem to discuss the dependence...

...Jiří Malík; Ondřej Souček Purpose This paper aims to propose a semi-analytical benchmarking framework for enthalpy-based methods used in problems involving phase change with latent heat. The benchmark is based on a class of semi-analytical solutions of spatially symmetric Stefan problems...

...Milos Ivanovic; Marina Svicevic; Svetislav Savovic Purpose The purpose of this paper is to improve the accuracy and stability of the existing solutions to 1D Stefan problem with time-dependent Dirichlet boundary conditions. The accuracy improvement should come with respect to both temperature...

... to examine the Stefan problem with variable latent heat. The study confirms the accuracy and efficiency of the employed method. Design/methodology/approach – The new technique, as presented in this paper in extending the applicability of the ADM, has been shown to be very efficient for solving...

... is a powerful tool to deal with general phase‐change problems, extendable to other physical systems. Hydrogen migration Zirconium hydride Hydride blisters Phase‐change problem Hysteresis Finite‐rate kinetics Stefan problem Numerical simulation Finite elements Implicit scheme INT. J. NUM. METH...

... interface, which are essential data for microstructure calculations. KEY WORDS Laser surface treatments Finite elements Solidification Stefan problem Hydrodynamics Thermo­ capillary convection INTRODUCTION Laser surface treatments are high precision processes for enhancing the properties of a contact...

... on the basic enthalpy, the apparent heat capacity and the source term formulations, are considered. A 1‐D Stefan problem of melting a solid is used as a test problem. The accuracy of the numerical solutions is measured globally using L2 error norms and comparison is made between the solutions using homographic...