Using the forced dissipative nondivergent nonlinear barotropic vorticity equation and by means of various schemes,we get its numerical solution,which accords with the attribute of its analytical solution.The results show that diabtic heating strengthens Kelvin cat's eyes,and cooling weakens cat's eyes.The dissipative effect slows down the evolution of stream function field.The strength,movement,shape and vorticity field attribute of simulated cat's eyes possesses some similarity to the evolution of actual subtropical high.