二维CE／SE算法改进及其高阶精度格式

An improved two-dimensional CE/SE method and its high-order schemes

通过提出一种新的守恒元和解元划分方式对二维时-空守恒元解元算法(CE/SE)进行了改进,推导了改进CE/SE算法的一、二阶精度计算格式,并给出了更高阶精度计算格式的构造方法。利用得到的改进CE/SE格式对激波反射问题、后台阶扰流问题及隔墙坑道传播问题进行了数值模拟。数值结果表明,对CE/SE算法的改进是成功的。改进CE/SE算法有诸多优点,值得在数值模拟中推广使用。

In this paper, the original two-dimensional space-time conservation element and solution ele- ment （CE/SE） method is improved by proposing a new design of conservation elements and solution elements. First-and second-order improved CE/SE schemes are deduced and the derivation method of highorder improved CE/SE schemes is given. The numerical test problems such as shock wave reflection, down a step and pass a tube with clapboard are simulated by the improved CE/SE schemes. The numerical results show that the improvement on CE/SE method is successful. The improved CE/SE method has many advantages and deserves extension in numerical simulations.