Simulation of pollutant transport using a particle method

A Lagrangian scheme is presented for the two-dimensional simulation or pollutant transport in a porous medium. The anisotropic extension of the particle strength exchange method is implemented to describe the diffusive-dispersive process. By applying the scheme to a benchmark problem with an analytical solution, the method is shown to be accurate and stable even in the limiting cases of vanishing diffusion-dispersion coefficients and high anisotropy ratios. The scheme is shown to perform well with spatially variable velocity fields also. (C) 2001 Academic Press.