用高分辨差分格式解SNS方程

计算物理 ›› 1991, Vol. 8 ›› Issue (2): 203-210.

用高分辨差分格式解SNS方程

宋松和¹, 王汝权²

1. 湖南师大数学系, 长沙 410006;
2. 中国科学院计算中心, 北京 100080

收稿日期:1990-07-07 出版日期:1991-06-25 发布日期:1991-06-25

A NEW IMPLICIT TVD SCHEME AND ITS APPLICATION TO SNS EQUATIONS

Song Songhe¹, Wang Ruquan²

1. Department of Mathimatics, Hunan Normal Universicty, Changsha;
2. Computing Center, Chinese Academy of Science

Received:1990-07-07 Online:1991-06-25 Published:1991-06-25

摘要/Abstract

摘要： 本文从Sweby的显式TVD格式^[2,3]出发,构造发一个推进方向一阶精度、侧向二阶精度的隐式TVD差分格式,并用于解可压缩流定常简化Naviev-Stokes(SNS)方程。对不出现流向分离的平板边界层和激波—边界层相互干扰两个问题的数值计算表明,方法可以有效捕捉流场中的间断。

关键词: 简化NS方程, 高分辨格式, 空间推进方法

Abstract: Based on the theory of Sweby an implicit TVD scheme is obtained. The new method is first-order accurate with a truncation error of O The efficiency of this new scheme is demonstrated by some numerical computations of single Burgers equation and two-dimensional SNS equations.

Key words: Simplitied Navier-Stokes Equations, High Resolution Difference Scheme, Space Marching Technique

宋松和, 王汝权. 用高分辨差分格式解SNS方程[J]. 计算物理, 1991, 8(2): 203-210.

Song Songhe, Wang Ruquan. A NEW IMPLICIT TVD SCHEME AND ITS APPLICATION TO SNS EQUATIONS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1991, 8(2): 203-210.