中文摘要：

给出了一种用于激波捕捉计算的守恒型混合紧致WENO格式。混合格式可视为五阶WENO格式和五阶守恒紧致格式的加权平均。在格式构造中,本文采用了间断分辨率更好的WENO权因子计算方法以及新的子格式权因子计算方法。对于Euler方程,仅对混合格式中WENO格式部分做特征投影处理,不仅获得了特征型WENO格式良好的间断分辨率,同时又保证了计算效率。数值实验验证了本文混合格式的高时间效率和高流场分辨率。

英文摘要：

A conservative hybrid compact-WENO scheme,which is a weighted average of a fifth-order compact scheme and the WENO5scheme,is introduced.The WENO scheme gets nonzero weight only near the discontinuities.An improved WENO weight which has better resolution for discontinuities and an improved weight of the two sub-schemes with better robustness are used here.For Euler system,the characteristic projection is only used on WENO scheme,so the good resolution for discontinuity of characteristic-wise WENO is kept with higher computational efficiency.Numerical results show that the new scheme has good resolution for complicated flow structure with a low computation cost.