Semianalytical Solutions for One-Dimensional Unsteady Nonequilibrium Suspended Sediment Transport in Channels with Arbitrary Eddy Viscosity Distributions and Realistic Boundary Conditions
Publication: Journal of Hydraulic Engineering
Volume 140, Issue 5
Abstract
This paper presents a new semianalytical approach for the solution of suspended sediment transport in channels under uniform conditions using generalized integral transform technique (GITT). Comparing with previous analytical work, this new approach is not limited by the sediment diffusivity distribution and boundary conditions. Instead, it solves the suspended sediment transport equation with arbitrary distribution of eddy diffusivity. The solutions also consider realistic boundary conditions at the free surface and the bed. The new solutions converge fast and compare well with previous analytical solutions as well as numerical solutions from a high-resolution spectral code. With this new analytical approach, a library of solutions for suspended sediment concentration can be developed. It gives deeper insight into the physical process of the problem and provides benchmarks for the validation of numerical models.
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Acknowledgments
We acknowledge the financial assistant by the Center for Simulation, Visualization, and Real Time Prediction (SiViRT) at the University of Texas at San Antonio, a center supported by the National Science Foundation. We also thank the comments and suggestions from the reviewers.
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Published In
Journal of Hydraulic Engineering
Volume 140 • Issue 5 • May 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Apr 16, 2013
Accepted: Jan 23, 2014
Published online: Feb 21, 2014
Published in print: May 1, 2014
Discussion open until: Jul 21, 2014
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