Abstract: Physical equations and calculation methods of XRL2D code, a 2D non-equilibrium radiation hydrodynamics code, are introduced. With this code, three different ALE methods are adopted to simulate hydrodynamic behavior of focus-line plasma of an Ag planar target driven by pre-main-pulse laser, which is a typical Ni-like Ag-ray laser experiment on ShenguangⅡ. The methods give similar and clear physical pictures:abundance distribution of Ni-like ion shows a shape of bow which agrees with distribution of XRL intensity in experiment. The methods are compared in detail as well.

Key words: numerical simulation, ALE method, laser-target coupling of pre-main pulses, focus-line plasma of X-Ray laser