摘要
以非线性扩散波动方程Burgers方程为模型,通过调节方程右端粘性项的大小,在分析了方程的性质的基础上,探讨方程左端项和右端项差分离散格式匹配问题,以及高精度格式稳定性影响和计算格式精度与粘性系数和计算网格之间的关系等问题。研究结果将对方程左右端项离散时应如何采取合适的差分格式有一定的指导意义。
In this paper, the nonlinear partial equation with dissipation term-Burgers equation is adopted as model equation. The problems of the difference schemes matching of left item and right item of the equation and the influence of the stability of high- order difference schemes are discussed by adjusting right item of equation and analyzed the charac- teristics of the equation. The results improve the method of choosing the difference schemes.
出处
《航空计算技术》
2008年第3期74-77,共4页
Aeronautical Computing Technique