Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
A front-tracking method for dendritic solidification
Journal of Computational Physics
Computation of three dimensional dendrites with finite elements
Journal of Computational Physics
The phase-field method in the sharp-interface limit: a comparison between model potentials
Journal of Computational Physics
A simple level set method for solving Stefan problems
Journal of Computational Physics
A conserving discretization for the free boundary in a two-dimensional Stefan problem
Journal of Computational Physics
The fast construction of extension velocities in level set methods
Journal of Computational Physics
A moving mesh method for the solution of the one-dimensional phase-field equations
Journal of Computational Physics
A Level Set Approach for the Numerical Simulation of Dendritic Growth
Journal of Scientific Computing
A new semi-analytical method for phase transformations in binary alloys
Journal of Computational and Applied Mathematics
Pricing general insurance in a reactive and competitive market
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
In this paper, we present a critical comparison of the suitability of several numerical methods, level set, moving grid and phase field model, to address two well-known Stefan problems in phase transformation studies: melting of a pure phase and diffusional solid-state phase transformations in a binary system. Similarity solutions are applied to verify the numerical results. The comparison shows that the type of phase transformation considered determines the convenience of the numerical techniques. Finally, it is shown both numerically and analytically that the solid-solid phase transformation is a limiting case of the solid-liquid transformation.