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Comparison of Various Compressible Vorticity Confinement Methods and Development Two New Confinement Parameters

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Author(s): H. Bagheri Esfe | M. Malek Jafarian | M. Bagheri Esfe

Journal: Journal of Applied Fluid Mechanics
ISSN 1735-3572

Volume: 5;
Issue: 13;
Start page: 89;
Date: 2012;
Original page

Keywords: Adaptive | Artificial dissipation | Numerical dissipation | Vorticity confinement.

ABSTRACT
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 tocompletely 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.
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