Semianalytical Solutions for One-Dimensional Unsteady Nonequilibrium Suspended Sediment Transport in Channels with Arbitrary Eddy Viscosity Distributions and Realistic Boundary Conditions

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.