摘要
对非线性双曲型方程式的ＴＶＤ格式坡度限制函数作了分析讨论．根据矢通量差分裂技术推导了任意断面形状、底坡为常数、有摩擦的渠道非定常流的一种二阶精度、无振荡差分格式．给出的算例与解析解符合。
The slope limiters which are applied to nonlinear scalar hyperbolic conservation laws are discussed and analysed.A high resolution,second order,oscillation free difference scheme for unsteady open channel with a slope and friction is derived.Computational results of the illustrative examples correspond to analytical solutions.Compared with the first order schemes,this scheme significantly improves the accuracy of results.
出处
《武汉水利电力大学学报》
CSCD
1997年第1期23-27,共5页
Engineering Journal of Wuhan University
关键词
非定常流动
渠道
数值格式
水动力学
St.Venant equations
finite difference method
flux difference splitting
unsteady flow
open channel
