A computational study of the Richtmyer-Meshkov instability is presented for an inclined interface perturbation in support of experiments being performed at the Texas A&M shock tube facility. The study is comprised of simulations performed using the Arbitrary Lagrange Eulerian (ALE) code called ARES. These simulations were performed to late times after reshock with varying parameters including inclination angle, and incident shock Mach number. The inclination angle was varied over a wide range which provided initial interface perturbations in both the linear and non-linear regimes. Recent work have shown a distinct difference between the linear and nonlinear interface perturbations growth using a newly developed inclined interface scaling model. This work is extended here by examining the vorticity distribution for these two cases and focusing on the conditions before and after reshock. One linear and one non-linear interface perturbation case are examined qualitatively through plots of the vorticity, and density fields. The total circulation and circulation production rates for these cases are plotted as a function of time. The circulation is shown to double after reshock for the non-linear case, while for the linear case it increases by approximately the same amount as the non-linear case but from near zero just before reshock. The mixing width, and mix mass growth rates are also examined for each case both before and after reshock.
- Fluids Engineering Division
Simulations and Analysis of Shock Accelerated Inhomogenous Flows With and Without Reshock
McFarland, JA, Ranjan, D, & Greenough, JA. "Simulations and Analysis of Shock Accelerated Inhomogenous Flows With and Without Reshock." Proceedings of the ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. Volume 1: Symposia, Parts A and B. Rio Grande, Puerto Rico, USA. July 8–12, 2012. pp. 1047-1053. ASME. https://doi.org/10.1115/FEDSM2012-72309
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