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Hypervelocity Richtmyer–Meshkov instability

Samtaney, Ravi and Meiron, Daniel I. (1997) Hypervelocity Richtmyer–Meshkov instability. Physics of Fluids, 9 (6). pp. 1783-1803. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:SAMpof97

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Abstract

The Richtmyer-Meshkov instability is numerically investigated for strong shocks, i.e., for hypervelocity cases. To model the interaction of the flow with non-equilibrium chemical effects typical of high-enthalpy flows, the Lighthill-Freeman ideal dissociating gas model is employed. Richtmyer's linear theory and the impulse model are extended to include equilibrium dissociation chemistry. Numerical simulations of the compressible Euler equations indicate no period of linear growth even for amplitude to wavelength ratios as small as one percent. For large Atwood numbers, dissociation causes significant changes in density and temperature, but the change in growth of the perturbations is small. A Mach number scaling for strong shocks is presented which holds for frozen chemistry at high Mach numbers. A local analysis is used to determine the initial baroclinic circulation generation for interfaces corresponding to both positive and negative Atwood ratios.


Item Type:Article
Additional Information:©1997 American Institute of Physics. Received 17 January 1996; accepted 20 February 1997. This work was supported in part by AFOSR Grant No. F49620-93-1-0338 and by the Lawrence Livermore National Laboratory under subcontract B295121 under DOE Contract W-7405-ENG-48. This research was performed in part using the CSCC parallel computer system operated by Caltech on behalf of the Concurrent Supercomputing Consortium. We acknowledge discussions with Professor Dale Pullin and useful comments by Mark Meloon. RS acknowledges the help of Berna Massingill who provided the mesh archetypes for the Intel Paragon and Thanh Phung who helped optimize the code.
Subject Keywords:flow instability; shock waves; chemically reactive flow; dissociation; nonequilibrium flow; compressible flow
Record Number:CaltechAUTHORS:SAMpof97
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SAMpof97
Alternative URL:http://dx.doi.org/10.1063/1.869294
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3617
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 Jun 2006
Last Modified:26 Dec 2012 08:55

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