摘要
本文给出了两个自变量两个未知函数的一阶线性常系数双曲型方程组相应的三点显式可调差分格式的数值稳定性判据,并讨论了在水动力学、空气动力学等问题中的常见形式,论证了非对称型格式与对称型格式具有不同的稳定性特征,在前者的数值解的Fourier展开式中,波长较长的分量有可能比较短的分量更先失稳。
Given in this paper arc the general numerical stability criteria for the three-point explicit adjustable difference schemes relating to the first order linear hyperbolic equations (two variables and two unknown functions) and its simpler forms applying to hydrodynamics and aerodynamics calculations. An important property about a numerical solution using nonsymmetrical scheme is shown that a longer wave component of its Fourier series may be unstable and invalid earlier than a shorter one.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
1992年第3期256-262,共7页
Chinese Journal of Hydrodynamics
