Shock-vortex interaction over a 65-degree delta wing in transonic flow

Transonic flow over a 65-deg swept-back, sharp-edged, cropped delta wing is investigated computationally using the time-accurate solution of the unsteady, compressible, full Navier-Stokes equations with an implicit, upwind, flux-difference splitting, finite-volume scheme. Coarse and fine O-H grids are used to obtain the solution. The grid consists of 125 x 85 x 84 points in the wrap-around, normal, and axial directions, respectively. The results are presented for an angle of attack of 20 deg Mach number of 0.85 and Reynolds number of 3.23 x 10 exp 6. With the fine grid, the results show that a system of shocks has been captured over the upper wing surface and that the leading-edge vortex core experiences an unsteady supersonic vortex breakdown after passing through a spanwise shock near the wing trailing edge. The computed results at a certain time are in good agreement with the experimental data. Topological aspects of the vortex breakdown flowfield are also presented and discussed.

[1]  Vortex breakdown in a supersonic jet , 1991 .

[2]  C. H. Liu,et al.  Supersonic quasi-axisymmetric vortex breakdown , 1991 .

[3]  M. P. Escudier,et al.  Vortex-flow regimes , 1982, Journal of Fluid Mechanics.

[4]  G. Kuruvila,et al.  Vortex breakdown simulation: a circumspect study of the steady, laminar, axisymmetric model , 1989 .

[5]  Numerical simulation of a three-dimensional vortex breakdown , 1990 .

[6]  Gary E. Erickson,et al.  Wind tunnel investigation of the interaction and breakdown characteristics of slender wing vortices at subsonic, transonic, and supersonic speeds , 1991 .

[7]  Three-dimensional supersonic vortex breakdown , 1993 .

[8]  Stephan Hitzel Wing vortex-flows up into vortex breakdown - A numerical simulation , 1988 .

[9]  S. Leibovich Vortex stability and breakdown - Survey and extension , 1984 .

[10]  Stanley A. Berger,et al.  Solutions of the Navier-Stokes equations for vortex breakdown , 1976, Journal of Fluid Mechanics.

[11]  D. Hänel,et al.  Solution of the 3-D, Incompressible Navier-Stokes Equations for the Simulation of Vortex Breakdown , 1990 .

[12]  D. Rhode,et al.  On the prediction of swirling flowfields found in axisymmetric combustor geometries , 1982 .

[13]  E. Houtman,et al.  Experimental and Computational Study of the Vortical Flow over a Delta Wing at High Angles of Attack , 1993 .

[14]  Turgut Sarpkaya,et al.  Effect of the Adverse Pressure Gradient on Vortex Breakdown , 1974 .

[15]  T. Gatski,et al.  The structure and dynamics of bubble-type vortex breakdown , 1990, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.