The Richtmyer-Meshkov instability occurs when density-stratified interfaces are
impulsively accelerated, typically by a shock wave. We present a numerical method to
simulate the Richtmyer-Meshkov instability in cylindrical geometry. The ideal MHD
equations are linearized about a time-dependent base state to yield linear partial
differential equations governing the perturbed quantities. Convergence tests demonstrate
that second order accuracy is achieved for smooth
flows, and the order of
accuracy is between first and second order for
flows with discontinuities.
Numerical results are presented for cases of interfaces with positive Atwood number
and purely azimuthal perturbations. In hydrodynamics, the Richtmyer-Meshkov
instability growth of perturbations is followed by a Rayleigh-Taylor growth phase.
In MHD, numerical results indicate that the perturbations can be suppressed for
sufficiently large perturbation wavenumbers and magnetic fields.
|Date of Award||May 2013|
- Physical Science and Engineering
|Supervisor||Ravi Samtaney (Supervisor)|
- Cylindrical Geometry
- Rayleigh-Taylor Instability
- Linear Simulation