Abstract
The vorticity confinement (VC) method was used with total variation diminishing (TVD) schemes to reduce possible over-confinement and applied to convected and stationary vortices. The optimal VC parameter was determined by application to 2-D vortices. The conservativity of the scheme is investigated in terms of kinetic energy and momentum. Grid convergence study was conducted for the range of grid steps. The log–log plot of the error shows that the second-order upwind scheme with the VC nearly reaches the 4th order of accuracy for the wide range of grid cell sizes. VC was used with TVD minmod and differentiable flux limiters to evaluate their effect on the VC method and prevention of over-confinement.
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