摘要
研究带源项双曲守恒律方程的IGVC(改进的群速度控制)格式。为了控制数值方法带来的非物理振荡,引入IGVC格式,考察其TV性质,对于源项我们采用分裂方法处理,该方法用于求解一维浅水方程,数值结果是令人满意的。
Numerical investigation of IGVC(Improved Group Velocity Control) scheme for the hyperbolic conservation laws including source terms is discussed in this paper.To prevent the nonphysical oscillations near the discontinuous,we introduce IGVC scheme.The TV property of IGVC scheme is investigated.A splitting scheme is used to approach the source terms.Numerical experiments for one-dimensional shallow water equations are given to demonstrate the performance of the scheme.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第S2期131-135,共5页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金资助项目(10572154)
教育部新世纪优秀人才支持计划资助项目(NCET-06-0731)
关键词
双曲守恒律方程
IGVC格式
源项
hyperbolic conservation laws
IGVC(Improved Group Velocity Control) scheme
source terms
