Two particle stochastic diffusion tracking
model and the anomalous diffusion
model and the anomalous diffusion
A probabilistic description of suspended
sediment transport:
sediment transport:
advection, diffusion and random movement
Movements of suspended sediment particles is regarded as a
stochastic process due to the highly uncertain behaviors under the influence of
the flow velocity and the turbulent effect in the open channel flow. In the
study, a-state-of-the-art two particle stochastic diffusion particle tracking
model (two-particle SD-PTM) is proposed. Modified from the stochastic diffusion
particle tracking model (SD-PTM), two-particle SD-PTM takes the particle
correlation into consideration while modeling the random behaviors of the
suspended sediment particles. Affected by the large eddy turbulence, the two
particles (paired particles) have similar motion when they are in the vicinity
of each other. On the other hand, paired particles move independently when they
are far away from each other. The proposed two particle SD-PTM model are
validated against experimental concentration data.
stochastic process due to the highly uncertain behaviors under the influence of
the flow velocity and the turbulent effect in the open channel flow. In the
study, a-state-of-the-art two particle stochastic diffusion particle tracking
model (two-particle SD-PTM) is proposed. Modified from the stochastic diffusion
particle tracking model (SD-PTM), two-particle SD-PTM takes the particle
correlation into consideration while modeling the random behaviors of the
suspended sediment particles. Affected by the large eddy turbulence, the two
particles (paired particles) have similar motion when they are in the vicinity
of each other. On the other hand, paired particles move independently when they
are far away from each other. The proposed two particle SD-PTM model are
validated against experimental concentration data.
In the study, suspended sediment particles transport is hypothesized
to possess Markovian property and follows the Fickian law. While the Markovian property
is validated and showing that the movements of suspended sediment transport is memoryless,
the Fickian hypothesis is rejected by the observed anomalous diffusions based
on the simulation results of ensemble variances of particle displacements. In
the streamwise direction, suspended particle motions change from normal
diffusion to superdiffusion. Transitions from minor superdiffusion to
subdiffusion of particle motions are discovered in the vertical direction. The deposition and resusprnsion of particle motions are the main results of the anomalous diffusions. Influence of C isshown in comparisons of one-particle SD-PTM and two-particle SD-PTM.
to possess Markovian property and follows the Fickian law. While the Markovian property
is validated and showing that the movements of suspended sediment transport is memoryless,
the Fickian hypothesis is rejected by the observed anomalous diffusions based
on the simulation results of ensemble variances of particle displacements. In
the streamwise direction, suspended particle motions change from normal
diffusion to superdiffusion. Transitions from minor superdiffusion to
subdiffusion of particle motions are discovered in the vertical direction. The deposition and resusprnsion of particle motions are the main results of the anomalous diffusions. Influence of C isshown in comparisons of one-particle SD-PTM and two-particle SD-PTM.
The anomalous diffusions can be attributed to resuspension and
deposition of particle movements. Correlations between particle motions are
also discussed in this study.
deposition of particle movements. Correlations between particle motions are
also discussed in this study.
