The Interaction between Vortex Rings and Oblique Shocks by the MVG Controlled Ramp Flow at M=2.5

In this paper, the implicitly implemented LES method and fifth order bandwidth-optimized WENO scheme are used to make comprehensive studies on the interaction of vortex rings and shock waves of the MVG controlled flow at M=2.5 and Re θ θ θ θ =5760. The kinetic information of the vortex rings is carefully studied and provided. The interaction of the streamwise vortices and vortex rings are investigated using vorticity and three stages of evolution are found. The study between the oblique shock and vortex rings is made on 2-D section analyses, 3-D shock surface investigation and the relation between vortex ring structure and the interaction. The multilayer shock structure, different shock reflection type, etc are investigated, and characteristics are obtained about the 3-D hump shape of the distorting shock caused by the vortex ring. Nomenclature MVG = micro ramp vortex generator M = Mach number Re θ = Reynolds number based on momentum thickness h = micro ramp height δ = incompressible boundary-layer nominal thickness x, y, z = spanwise, normal and streamwise coordinate axes u,v,w = spanwise, normal and streamwise velocity LES = large eddy simulation ∆s ring = averaged horizontal distance between rings V ring,1 = the horizontal component of the velocity of the vortex ring V ring,2 = the ramp-aligned component of the velocity of the vortex ring T ring = averaged period of a ring passing ∆s ring St θ = Strouhal number based on inlet momentum thickness θ/(U ∞ T ring) St h = Strouhal number based on height of MVG h/(U ∞ T ring) Subscript 0 = inlet w = wall ∞ = free stream