Abstract
The problem of a shock wave interacting with a two-dimensional and an axisymmetric entropy or temperature spot is addressed. The problem is posed in the framework of the Euler equations, which are solved by a sixth-order accurate shock-fitting algorithm. The results indicate that such an interaction squishes the spot in the direction of convection and engenders a pair of counter-rotating vortices along with an acoustic wave, which propagates away from the center of the vortical system. The acoustic front steepens, leading to secondary shocks for sufficiently high shock Mach numbers. The enstrophy and dilatation budgets are discussed. The quantitative differences between the hot and cold spot cases are brought out, as well as those between the two-dimensional and the axisymmetric cases. The emphasis is on the nonlinear aspects of the interaction process
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