Numerical Simulation of Transient Hypersonic Flow Using the Essentially Non-Oscillatory Schemes

This paper deals with numerical simulation of transient hypersonic flows involving shock wave/free-stream disturbance interactions using the essentially non-oscillatory (ENO) schemes. The ENO schemes are chosen for transient flow simulations because they are formally highorder accurate at extrema as well as in other parts of smooth solutions. In this research, we first numerically tested the accuracy of the ENO schemes by applying them to the computations of a one-dimensional linear model equation and to an oscillating plate problem using the two-dimensional Navier-Stokes equations. Then, we used the third-order ENO scheme to compute the unsteady interaction of a free-stream acoustic wave with a bow shock in hypersonic flow past a cylinder. The numerical results along the stagnation line were compared with linearized analytical solutions. The results show that the disturbance waves generated behind the bow shock are significantly amplified by the back-and-forth interactions and reflect..