流动变量线性分布的MUSCL格式

本文提出一种线性函数斜率的确定方法并证明用其近似代替网格内流动变量的初始分布,MUSCL格式具有二阶精度。引入单调性限制条件和一定的耗散机制后,该方法适合于Euler坐标系下的计算。本文在处理间断时,用激波关系式代替特征线方程,解决了特征线法在全流场计算中的应用问题。最后,本文给出Emery问题和一个火箭喷流问题的计算结果。

THE MUSCL SCHEME OF FLOW VARIABLES WITH LINEAR PROFILES

In this article, we suggest a new linear function and prove that the MUSCL scheme would have second-order accuracy, if the function was used to approximate the initial-value distribution of flow variables in every mesh. The scheme is suitable for the Enlerian calculation when monotonicity condition and some dissipative mechanisms are introduced. We approximate the characteristic equations with shock jump relations near discontinuities and resolve the problem of using characteristic method in whole flowfield calculation. Finally, we present the numerical examples of Emery problem and a rocket jet problem.