The Interaction of a Shock with a Compressible Vortex
NAVAL RESEARCH LAB WASHINGTON DC
Pagination or Media Count:
Numerical simulation of the interaction of a shock with either a single vortex or a vortex pair are used to investigate the resulting shock structure, production of acoustic waves, vortex distortion, and vorticity amplification. The study includes the interaction of strong M1.5 and weak M1.5 shocks with both strong and weak vortices which have peak velocities equal to the velocity of the fluid behind the strong and weak shocks, respectively. The simulations show that at early times, the distortion of a shock by a strong vortex can be predicted using a simple linear model. In addition, a quadrupolar wave propagates upstream as predicted by linearized theories. At later times, the interaction of the diffracted and refracted portions of the shock produces connected reflected shock structures. For the strong shock, the reflected shock structure merges with the quadrupolar wave to produce the asymmetric acoustic wave observed in experiment.
- Fluid Mechanics