Conservative concentration reconstruction in depth-averaged random walk method for pollutant transport

This work aims to apply a random walk particle tracking method to solve the depth-averaged pollutant transport. The water flow is modeled by the shallow water equations and solved using a triangular finite volume method, and the solute transport is solved by tracking a set of particles that represent the solute mass. The numerical method has been investigated in two cases Advection in uniform flows and Advection around a solid obstacle. The constructed concentration compared with the analytical solution shows a promising advantage of the presented model.