求解Euler方程的空间—时间守恒格式

A SPACE-TIME CONSERVATION SCHEME FOR SOLVING THE TWO-DIMENSIONAL EULER EQUATIONS

本文在CE／SE方法的基础上，提出了空间－时间守恒（STC）格式，其特点是构造简单，物理概念清晰，守恒性好，计算速度快且精度高，容易推广到多维流动及粘性流动。通过对二维Euler方程STC格式的介绍，可以看出这一方法的主要特点。与其它格式的计算结果或精确解相比较表明，用STC格式计算的结果是令人满意的。

A space-time conservation (STC) scheme based on the method of space-time conservation element and solution element is presented in this paper. The scheme has the superiority of simple structure, clear physical meaning, rapid calculation and high precision,and is easy to extend to the multidimensional flow and the viscous flow. The characteristic features of the scheme are demonstrated from the STC scheme for solving ZD Eulerequations. Some numerical results are given.