Modeling the transport of suspended substances on the continental shelf: horizontal dispersion

Suspended substance dispersion in a water body is simulated in the case when the spread area is considerably larger than the depth of the water body. A model of horizontal dispersion of pollutants is formulated and analyzed. Numerical approaches to the computation of suspended substance dispersion in a water body are discussed. A meshless stochastic numerical algorithm is proposed that combines the advantages of two well-known techniques, namely, the discrete cloud method and the stochastic discrete particle method. The performance the method and its features are demonstrated by comparing numerical results with the exact solution to the model problem of turbulent dispersion of a pollution plume produced by a continuous source of suspension.