This research article published by the International Journal of Advances in Scientific Research and Engineering, Volume 5, Issue 9, September - 2019
A particle model to describe and predict sediment transport in shallow water is developed with the use of random
walk models. The model is developed by showing consistency between the Fokker-Plank equation and the Advection
diffusion equations. Erosion and deposition process in the model are developed probabilistically where the erosion
term is considered to be a constant and deposition term is taken as a function by relating sediment settling velocity
and diffusion coefficient. Eventually, we simulated the particle model by considering three environment tests. In each
environment test the simulations show the distribution of particle and the position of each particle at any given time t.
The simulations also show the particles that will finally remain in suspension state and the particles that will be
deposited during the transport process following the deployment of 10,000 particles. It was also established that
there is uniform distribution of particles in test environment I and III and a linear dependence between the number of
particles in different grid cell and the water depth in test environment II