Characteristic Analysis of Turbid Underflows
Publication: Journal of Hydraulic Engineering
Volume 123, Issue 5
Abstract
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.
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Published In
Journal of Hydraulic Engineering
Volume 123 • Issue 5 • May 1997
Pages: 420 - 431
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: May 1, 1997
Published in print: May 1997
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