二维时-空守恒格式及其在激波传播计算中的应用

A GENERAL 2D SPACE TIME CONSERVATION SCHEME AND ITS APPLICATION IN THE CALCULATIONS OF COMPLICATED FLOW PROBLEMS

将改进后的一维时－空守恒格式推广到了二维情形，得到了一个新的一般形式的二维Ｅｕｌｅｒ方程时－空守恒格式，并用该格式对几个具有复杂波系的流场进行了数值模拟。结果表明，该格式保留了一维格式通用性好、结构简单的优点，其计算结果精度高，对激波等间断具有很强的分辨率。

In this paper,the 1D space time conservation scheme modified by the authors is extended to two dimensional ones and a general form of space time conservation scheme for 2D Euler equations is obtained.Some complicated flow problems are calculated using this scheme.The numerical results show that this scheme has all the features which the 1D space time conservation scheme has,such as its simplicity and generality etc.,and the solution accuracy and shock resolution are also very high.