This talk concerned with an ideal polytropic model of non-viscous and heat-conductive gas in one-dimensional half space. We focus our attention on the outflow problem when the flow velocity on the boundary is negative and prove the stability of the viscous shock wave and its superposition with the boundary layer under some smallness conditions. Precisely,(i). Our waves occur in the subsonic area. in the subsonic area, the lack of the boundary condition on the density provides us a special manner to define the shift for the viscous shock wave and helps us construct the asymptotic profiles successfully. (ii).New weighted energy estimates are introduced and the perturbations on the boundary are handled by some subtle estimates.