A comparison study of planar Richtmyer-Meshkov instability in Mie-Grüneisen fluids and perfect gases
Abstract
A numerical study of planar Richtmyer-Meshkov instability in fluids with Mie-Grüneisen equations of state is presented and compared to similar perfect gas flows to expose the role of the equation of state. Results for single and triple-mode planar Richtmyer-Meshkov instability, when a reflected shock wave occurs, are first given for MORB and Molybdenum. Comparison is drawn to perfect gases with matched non-dimensional pressure jump across the incident shock, post shock Atwood ratio and post shock amplitude to wavelength ratio, which matches the Richtmyer constant linear growth-rate. Differences in start-up time and growth rate oscillations are demonstrated to correlate directly to the oscillation frequency for the transmitted and reflected shocks. Further results are given for single mode Richtmyer-Meshkov instability when a reflected expansion wave is present. Matched perfect gas solutions in such cases yield a higher degree of similarity in start-up time and growth rate oscillations. Additionally, for the reflected expansion case both equations of state are seen to yield incipient weak shock waves in the heavy fluid caused by perturbed-shock driven localized interface oscillations.
- Publication:
-
APS Division of Fluid Dynamics Meeting Abstracts
- Pub Date:
- November 2010
- Bibcode:
- 2010APS..DFD.QC006W