具有五阶精度的TVD数值格式

Study of 5^(th) Order Accurate TVD Scheme

提出了一种具有五阶空间精度的数值求解物质输送方程平流项的方法.此方法具有如下主要特点:1)利用四次函数刻画特定物质在空间上的分布;2)在中间时刻层上确定网格界面上的值;3)利用TVD算子限制确定的界面值,以保证数值格式无频散.

In this study we established a fifth order accurate scheme regarding the numerical solution of advection term in transport equation. Main features of this method are： 1） utilizing the quaxtic function to characterize the localized distribution of specified material; 2） solving the equation at the middle temporal level; and 3） constraining the derived result by use of the TVD limiter so as to ensure the numerical non-oscillation.