Abstract Details
Abstracts
Author: Gabriel S Woodbury Saudeau
Requested Type: Poster
Submitted: 2023-03-31 16:34:27
Co-authors: L. Guazzotto
Contact Info:
Auburn University
380 Duncan Drive
Auburn, Alabama 36849
USA
Abstract Text:
The Kelvin-Helmholtz (KH) and Rayleigh-Taylor (RT) instabilities are well studied in classical fluid dynamics. The stabilizing effect of magnetic fields is also well known. However, the analysis does in general assume incompressibility. It is known from fluid dynamics that compressibility stabilizes the KH instability at high velocities. In this work we begin developing a model for the combined hydrodynamic KH and RT instabilities for a compressible fluid. Starting for the case without magnetic field, we investigate the asymptotic behavior of the growth rate at supersonic velocities, beyond the point where the pure KH is stabilized by compressibility. An analytic expression for the growth rate is found in that regime. We then proceed to investigate the stability of the more general case in the presence of a constant magnetic field aligned with the velocity using ideal MHD. To the best of our knowledge, there is no analytic expression for the dispersion relation of the combined compressible instability with the inclusion of a magnetic field. We report on our progress in the analysis of the unmagnetized case and of the more general case.
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