Abstract: 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.

Key words: spherical coordinate, laser driven implosion, fully conservative difference scheme, variational method