An exact solution strategy for regular shock refraction at a density discontinuity

We consider the problem of regular refraction of a planar shock at an inclined planar density discontinuity, separating two gases at rest. When the shock impinges on the inclined density discontinuity, it refracts and in the hydrodynamical case $3$ signals arise. Regular refraction means that these signals meet at a single point, called the triple point. After reflection from the top wall, the contact discontinuity becomes unstable due to local Kelvin-Helmholtz instability, causing it to roll up and form a Richtmyer-Meshkov instability. We quantify the growth rate of the vorticity deposited on the contact interface and investigate the effect of a perpendicular magnetic field. A numerical solution strategy is presented, and compared to simulations performed by AMRVAC. We predict wave pattern transitions, in agreement with experiments.

ISBN:9781622763351

Jaar van publicatie:2008