摘要
归纳总结了求解对流方程的几种常用数值解法的格式 ,如迎风格式、四点时空偏心Preissmann格式、杨 贡日格式等 ,并从相容性、稳定性、收敛特性分析出发 ,对各种数值解法的特点进行了比较与分析 ,同时将各种解法应用到两种典型算例的验算中进行比较与分析 ,期望对于实际工作中在面临如何正确合理的选择一种合适的求解对流方程的数值解法的问题时能有一定的参考作用。
Several kinds of schemes of numerical method for pure convection transport are concluded, such as upwind scheme, 4-points eccentric preissmann scheme with time and space,Yang-Cunge scheme. Their characteristics are compared and analyzed with their accuracy, stability and convergence. They are applied to two typical calculation examples and their effectiveness are also compared and analyzed with the computed results. Finally ,we hope that the article can help to choose and apply accurate numerical method to solve actual problems.
出处
《泥沙研究》
CSCD
北大核心
2004年第1期35-42,共8页
Journal of Sediment Research
基金
国家自然科学基金重大项目资助课题 ( 5 0 0 9962 0 )
关键词
对流
数值解法
收敛特性
数值弥散
convection
numerical method
convergence characteristic
dispersion