The flow structures of a supersonic impinging jet are investigated via numerical simulation. A converging inlet nozzle is used to accelerate the flow to sonic velocity and the flow impinges on a wall located at a normalized stand-off distance (z/D) of 2.5. The Reynolds averaged Navier-Stokes (RANS) and the Large Eddy Simulation (LES) methodologies are used to simulate the shock structures of the impinged jet. The characteristics of the underexpanded supersonic impinging jet is then visually analysed in the LES model. Next, the results of the numerical simulations are compared to experimental data obtained by , which uses Schlieren photography and shadowgraphy technique to visualize the shock structures. Results from the RANS and LES numerical models which are consistent with the experimental data demonstrate the capability of both methodologies in simulating supersonic impinging jet flows.