Analysis of shock-wave diffraction over double concave cylindrical wedges. Part I: Shock dynamics

Abstract

Shock-wave diffraction over double concave cylindrical surfaces has been numerically investigated at different flow regimes by varying the incident-shock-wave Mach number from = M 1.6 s (transonic) to = M 4.5 s (supersonic regime). The purpose of this study is to better understand the dynamics of shock-wave structure and the associated wave configurations. A mesh-independent solution is obtained and the flow is assessed through different physical quantities (transition angles, triple points trajectories, wall-pressure and skin-friction distributions, velocity and shock location). It is found that the transition angles, from regular to Mach reflection, increase with the Mach number. This phenomenon remains almost the same over both concave surfaces for weak Mach numbers (up to = M 2.5 s) and becomes relatively larger on the second surface for high Mach numbers. In terms of shock dynamics, it is found that by increasing the incident incident-shock-wave Mach number to = M 4.5 s , unlike the first reflector, the transition from a single-triple-point (STP) wave configuration to a doubletriple-point (DTP) wave configuration and back occurred on the second reflector, indicating that the flow is capable of retaining the memory of the past events over the entire process. For the shock velocity, the velocity deficit is found to be increasing with increase in M s. A best fitting scaling law is derived, to ensure a universal decay of the shock velocity depending on the flow parameters.

Analysis of shock-wave diffraction over double cylindrical wedges. Part II: Vorticity generation

“…As in Brahmi et al [20], a two-dimensional problem of shock diffraction over double concave geometry, with constant radius of = R 50 mm and wedge angles…”

Computational study of shock diffraction over convex edges

“…Brahmi et al [15] found that the transition angles increase with the Mach numbers from regular to Mach reflection. They observed that by increasing the value of M s to 4.5, the transition from a single triple point (STP) to a double triple point (DTP) wave configuration and again back to STP occurred on the second reflector, unlike the first one, indicating that the flow is retaining the memory over the entire process.…”