Numerical simulations of two-dimensional laser driven implosion with spherical coordinates and the relative computational methods are mainly summarized.Features of solving the hydrodynamic equations by the fully conservative implicit difference scheme and solving the thermal conductive equations by the variational method are discussed.Eexamples of relative physical models are presented and effects of the non-symmetry on the laser driven implosive processes are examined.

A three-dimensional ray-tracing method for laser propagation in plasma and an algorithm of heat flow for electronic conduction are briefly described.A convenient calculation scheme for solving the non-equilibrium P_n equations is also presented.By using these methods and the newly developed LARED-H code,the two-dimensional simulations for the laser-irradiated gold disk and ring target are preformed.The reasonable two-dimensional behaviors of the target plasma are obtained.