Author(s): Jungsun Oh; Christina W. Tsai
Linked Author(s): Cristina Wan-Shan Tsai
Keywords: No Keywords
Abstract: A stochastic jump diffusion particle tracking model (SJD-PTM) is proposed to illustrate stochastic movement of sediment particles in open channel flows. The proposed model employs the stochastic differential equation (SDE) as governing equations. The SDE accounts for particle movement using three major terms including a mean drift motion term, a random turbulent motion term and a Poisson jump term depicting occurrences of extreme flow events. The stochastic movement of sediment particles is attributed to both the flow turbulence and random occurrences of extreme flow events. The stochastic movement of particles can be represented by two stochastic processes, the Wiener process and the Poisson process. The proposed SJD-PTM is capable of modeling the probabilistic trajectory of particle movement including the ensemble mean and variance of particle trajectories. The proposed SJD-PTM is expected to better represent the movement of sediment particles in response to extreme flow events by a stochastic approach.
Year: 2009