Author(s): Chuanjian Man; Christina Tsai
Linked Author(s):
Keywords: Stochastic differential equation; Suspended sediment; Euler-Maruyama scheme; Ensemble mean
Abstract: The focus of the study is on the stochastic property of suspended sediment transport due to turbulence. A stochastic model considering the fluctuation of the concentration is formulated to simulate suspended sediment transport in open-channel flow. The suspended particle displacement is simulated by a stochastic different equation (SDE) composed of a drift term and a random term caused by fluid eddy motions. The stochastic partial differential equation (SPDE) describing suspended sediment concentration is also derived with the help of the SDE of particle displacement. The Euler-Maruyama numerical scheme is applied to simulate the SDE of particle trajectory. The lattice approximation is applied to solve the SPDE of the suspended sediment concentration in the equilibrium state. Comparison between the solution based on the deterministic advection-diffusion equation and the ensemble mean of the solution to the suspended sediment SDE shows fairly good agreement.
Year: 2005