Characteristic analysis of turbid underflows

被引:23
作者
Bradford, SF [1 ]
Katopodes, ND [1 ]
Parker, G [1 ]
机构
[1] UNIV MINNESOTA,DEPT CIVIL & MINERAL ENGN,MINNEAPOLIS,MN 55414
来源
JOURNAL OF HYDRAULIC ENGINEERING-ASCE | 1997年 / 123卷 / 05期
关键词
D O I
10.1061/(ASCE)0733-9429(1997)123:5(420)
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Some analytical solutions are derived for the one-dimensional, vertically integrated, time-dependent equations describing turbid underflows. The system of equations is hyperbolic, therefore, the method of characteristics may be used to transform the partial differential equations to a system of ordinary differential equations, which may then be integrated for the solution. The resulting analytical solutions provide a valuable tool which may be used not only to verify a numerical method, but also to gain insight into the behavior of the equations. It is also shown that the two-dimensional equations cannot be transformed into a system of ordinary differential equations and therefore cannot be integrated exactly. However, the characteristic decomposition of the equations yields important information about the physics of the turbidity equations and also provides insight into the appropriate construction of numerical techniques for solving the multidimensional equations.
引用
收藏
页码:420 / 431
页数:12
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