We study formation and development of laser-induced heating,melting and evaporating process during laser-matter interaction. Local adaptive mesh refine method in two-dimensional structured code is adopted as soon as material evaporates along the direction of laser. Wilkins method and finite volume diffusion scheme based on reconstruction of values on vertex are adopted to handle momentum equations and energy equation.

This paper presents a calculating method for tracing the moving phase-interface.The essential idea is that the von-Neumann numerical method is used in the region far from the phase-interface.In both sides close to phasc-interface a special difference scheme is established by using Rankine-Hugoniot jumping conditions and some characteristics of hyperbolic equations of fluid dynamics.

For numerical solution of laser induced vaporization of metal, we have to vesearch of calcolation method of fluid dynamics including phase transition. Because the vaporization zone is movement as time, so that, this problem is different from general fluid dynamics with a moving zone.This paper considers the energy deposition as zone deposition. According to the conditions of first class phase transition, outside the vaporization zone, we adppt the von Neumann method, and inert the vaporization zone, the another method is used. We have established the program named LHAP -1DVG, in which this method is applied.The results of a lot of calcolations indicate that this method is successful.