Implicit numerical algorithm for solution of phase transition pproblems

New numerical procedure for computer simulation of phase transition problems is proposed. A solid-liquid diffusion model for equilibrium multi-component alloy solidification is developed. Conservative fully implicit scheme is realized with simultaneous determination of concentration distribution and interface position. The proposed numerical procedure appears to be unconditionally stable and provides reliability in wide range of parameters. The paper introduces a comparison of new algorithm with traditional ones, where concentration distribution and interface position (growth rate) are determined consequently