Computational Study of Shocked V-Shaped N2/SF6 Interface across Varying Mach Numbers

Abstract: The Mach number effect on the Richtmyer–Meshkov instability (RMI) evolution of the
shocked V-shaped N2/SF6 interface is numerically studied in this research. Four distinct Mach
numbers are taken into consideration for this purpose: Ms = 1.12, 1.22, 1.42, and 1.62. A twodimensional
space of compressible two-component Euler equations is simulated using a high-order
modal discontinuous Galerkin approach to computational simulations. The numerical results show
good consistency when compared to the available experimental data. The computational results
show that the RMI evolution in the shocked V-shaped N2/SF6 interface is critically dependent on the
Mach number. The flow field, interface deformation, intricate wave patterns, inward jet development,
and vorticity generation are all strongly impacted by the shock Mach number. As the Mach number
increases, the V-shaped interface deforms differently, and the distance between the Mach stem and
the triple points varies depending on the Mach number. Compared to lower Mach numbers, higher
ones produce larger rolled-up vortex chains. A thorough analysis of the Mach number effect identifies
the factors that propel the creation of vorticity during the interaction phase. Moreover, kinetic energy
and enstrophy both dramatically rise with increasing Mach number. Lastly, a detailed analysis is
carried out to determine how the Mach number affects the temporal variations in the V-shaped
interface’s features.