线性传输方程的几种数值格式的比较
COMPARISON OF SEVERAL NUMERICAL SCHEMES FOR SCALAR LINEAR ADVACTION EQUATION

本文研究了线性传输方程的数值计算问题.利用Godunov格式、Entropy格式、Ultra-bee格式和Entropy-Ultra-bee格式对线性传输方程进行了数值计算,获得了相应的数值结果.数值实验结果表明Entropy-Ultra-bee格式结合了Entropy格式和Ultra-bee格式的优点,在整个计算区域都有比较高的分辨率,而且没有出现非物理振荡.
In this paper,we investigate the numerical computation of linear advaction equation.Using the Godunov scheme,Entropy scheme,Ultra-bee scheme and Entropy-Ultra-bee scheme,the linear advaction equation is solved numerically,and we obtain the corresponding numerical results.Numerical results show that the Entropy-Ultra-bee scheme combines the advantages of Entropy scheme and Ultra-bee scheme,and it has good resolution in the whole computational domain and does not produce non-physical oscillations