Numerical issues associated with simulating strong blast waves in high temperature flows in a turbulent background have been addressed effectively. Spherical energy deposition in both laminar and turbulent flows is considered. A predictor-corrector based shock capturing scheme is implemented along with a base spectral discretization scheme to simulate strong blast waves generated in the flow. The shock capturing scheme is extended for high temperature flows in equilibrium. Formulation of high temperature eigen vector matrices for 3-D Euler equations is presented for a generalized coordinate system. A logarithm formulation of the continuity equation is used to address stability issues related to very low densities in the core. A non-linear limiter has been implemented to eliminate excessive dissipation of the background turbulence due to shock capturing.