Oscillations of a standing shock wave generated by the Richtmyer-Meshkov instability (original) (raw)

Wave processes in a viscous shock layer and control of fluctuations

Journal of Fluid Mechanics, 2010

Generation and development of disturbances in a hypersonic viscous shock layer on a flat plate is studied both experimentally and numerically. The study is performed at the Mach number M∞ = 21 and the Reynolds number ReL = 1.44 × 105 and is aimed at elucidating the physical mechanisms that govern the receptivity and instability of the shock layer at extremely high hypersonic velocities. The experiments are conducted in a hypersonic nitrogen-driven wind tunnel. An electron-beam fluorescence technique, a Pitot probe and a piezoceramic transducer are used to measure the mean density and Mach number contours, as well as density and pressure fluctuations, their spectra and spatial distributions in the shock layer. Direct numerical simulations are performed by solving the Navier–Stokes equations with a high-order shock-capturing scheme in a computational domain including the leading and trailing edges of the plate, so that the bow shock wave and the wake behind the plate are also simulate...

Richtmyer-Meshkov instability induced by shock-bubble interaction: Numerical and analytical studies with experimental validation

Physics of Fluids, 2006

This paper deals with the numerical study of the interaction of a shock wave and a bubble. The three different density ratio cases between air and bubble are investigated: light/heavy, heavy/light and close density. The numerical simulations are compared to the experiments of Layes et al. [Phys. Rev. Lett.91, 174502 (2003)]. These three cases may allow us to better understand the vortex deposition by the baroclinic terms. Moreover, the behavior differences between the deformation of a bubble and a cylinder collided by a shock wave are shown. An analytical approach to evaluate the final volume of an inhomogeneity submitted to a shock wave interaction is also presented and discussed.