The interaction of a strong shock wave with a Mach number of 7 with a convecting shielded vortex is examined by solving Navier-Stokes equations in the present paper. It is well known that the vortex retains its original shape in the case of a weak shock interaction. However, the vortex breaks into smaller-scale vortical structures while interacting with the strong shock. The flow field of a shock wave vortex interaction varies with solvers having distinct numerical schemes due to variant dissipation levels. Further, capturing these vortical structures is challenging in experiments, and their accuracy depends on the experimental techniques. Sophisticated numerical solvers with negligible dissipation are needed to handle the interaction of a strong shock wave with a vortex, as the flow field involves shock waves having different strengths, the formation of many small-scale vortical structures, and the associated acoustics at later time instants. Here, a higher-order solver developed in the convective upwind and split pressure (CUSP) framework is used to capture details of the flow field of strong shock wave vortex interaction. The effect of viscous dissipation on the interaction of a shock wave with a vortex is acutely demonstrated. It is observed that the flow field is almost similar in both the Euler and Navier-Stokes solvers during the initial phase. However, conspicuous variations in the flow field are noticed at later instants due to the formation of dipolar structures surrounded by a sea of small vortices with positive and negative vorticities.