Numerical methods in phase-change problems

Published in Archives of Comp. Meths. Engng. Vol. 1 (1), pp. 49-74, 1994
doi:10.1007/BF02736180

Abstract

This paper summarizes the state of the art of the numerical solution of phase-change problems. After describing the governing equations, a review of the existing methods is presented. The emphasis is put mainly on fixed domain techniques, but a brief description of the main front-tracking methods is included. A special section is devoted to the Newton-Raphson resolution with quadratic convergence of the non-linear system of equations.