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.

中文翻译：

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用于精确涡流建模的组合涡度限制和 TVD 方法

涡度限制 (VC) 方法与总变差减少 (TVD) 方案一起使用，以减少可能的过度限制，并应用于对流和静止涡流。最佳 VC 参数是通过应用到二维涡流来确定的。从动能和动量方面研究了该方案的保守性。对网格步长范围进行了网格收敛研究。误差的对数-对数图显示，对于大范围的网格单元尺寸，VC 的二阶迎风方案几乎达到了四阶精度。VC 与 TVD minmod 和可微通量限制器一起使用，以评估它们对 VC 方法和防止过度限制的影响。