Development and Application of Compressible Vorticity Confinement for Flows with High Angles of Attack

In this paper،variable confinement parameters were successfully developed for compressible vorticity confinement. Three variable confinement parameters that have velocity dimension were defined based on three artificial dissipation schemes. The resulting confinement parameters are functions of spectral radii of the Jacobian matrices and the Jacobian matrices themselves. Therefore، the confinement parameters implicitly contain the grid size and the other local fluid properties. The ability of the new confinement parameters for 3-D supersonic flows over a blunt-nose-cylinder at high angles of attack with massive separation in the presence of an adverse pressure gradient condition was considered. Effect of various dissipation schemes on the solution was studied. Results showed that the new confinement parameters allow the capture of vortical layers. Vorticity confinement prevents the diffusion of the secondary vortex at leeside plane on coarse grid. As the grid size increases، improvement of the results (especially، confinement results of CUSP confinement parameter) is seen. When variable confinement parameters are used، the tuning constant is equal to or larger than the equivalent value of the constant confinement [Hu et al.] [8]. This means that this value is closer to the unity than constant confinement، especially for CUSP confinement parameter.