摘要
从理论分析和数值试验两方面对模拟明渠跨临界水流的删减对流项方法进行研究。理论分析证实,对流项的删减可解决Preissmann差分方法在处理跨临界水流时存在的格式结构不适定问题,并能获得稳定解。通过矩形断面明渠恒定跨临界水流和实际河道非恒定跨临界水流的模拟对数学模型进行验证,并提出新的对流项删减方式,即根据流体弗劳德数逐渐删减对流项的首项,而对后一项不做删减。
A numerical simulation method of reducing the convective momentum term of open-channel transcritical flow equations is studied by theoretical analysis and numerical simulation in this article.The analysis shows that deletion of this term improves numerical stability of different schemes and always produces stable solution.We put forth a new deletion method that gradually reduces the first part of the term according to Froude number,while keeping the second part untouched.This method is verified with a simulation example of flow in a rectangular open channel.
出处
《水力发电学报》
EI
CSCD
北大核心
2012年第2期79-86,共8页
Journal of Hydroelectric Engineering
关键词
计算水力学
跨临界水流
删减对流项方法
圣维南方程组
Preissmann差分格式
computational hydraulics
transcritical flow
reduction of convective momentum term
Saint-Venant equations
Preissmann four-points implicit scheme
