Applications of a high resolution technique to two classes of high-order flow-oriented skew upwind schemes are made in this study. The proposed two types of skew upwind schemes are (1) Interface-Based (IB) skew upwind family, and (2) Cell-Based (CB) skew upwind family. The interpolated values at the cell boundaries of interest can be approximated in a variety of ways by dealing with higher order interpolation functions than those treated in the original skew upwind difference schemes with/without artificial cutoff. The initial discontinuous data in the investigated pure convection problem can be sharply captured by interposing the nonlinear mechanism in the contemplated linear high-order skew upwind schemes. The required nonlinearity can be summed into the analysis by virtue the universal limiter that is regarded as the smoothness monitor. The performance of the filtering methodology on the investigated schemes is assessed by testing the convection of an oblique-step profile that has trivial analytical solution.
中國航空太空學會第二屆計算流體力學研討會論文集=Proceedings of the Second Conference on Computational Fluid Dynamics of the=AASRC，頁437-444