Abstract: 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.