应用高精度差分格式求解Euler方程

Solution of Euler equation using high order accurate schemes

对一种新的对流有界性法则以及基于这一法则导出的通量限制器技术进行了研究，该技术与具有鲁棒性质的延迟修正解法一起使用，可以很容易地应用到任意高阶精度的对流格式中，给出高精度无振荡的数值解．为了对上述方法的优点进行评价，提供了跨音和超音速情况下的带凸包流道中流动的算例．

A new convection boundedness criterion and an extremely simple flux-limiter technique based on this criterion were studied, which can be easily applied to the convection schemes of arbitrarily high order accuracy. It can give highly accurate non-oscillatory results when it is used together with robust deferred correction solution methods. A typical example of transonic and supersonic flow in a channel with a bump was given to assess the merit of the methods.