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In this paper, vorticity confinement parameters are successfully developed for compressible flows. The first new
confinement parameter is proportional to spectral radii of the flux Jacobian matrix. Therefore, the confinement
parameter implicitly contains the local conditions of the flow field. This new method is named as lambda vorticity
confinement method. In order to gain confidence in the applicability of vorticity confinement, it would be ideal to
completely eliminate constant coefficients from confinement parameters. Because these constant coefficients should
be determined for every problem by trial and error and it takes a long time. In the next part of this paper, a suitable
relation is introduced for the vorticity confinement parameter that doesn’t need any constant coefficient. This new
method is named as adaptive vorticity confinement method. Then the capability of these new methods is compared
with the other vorticity confinement methods for solving shock-vortex interaction and three dimensional moving
vortex problems.
