Simulation of Pollutant Transport Using a Particle Method

S. Zimmermann, P. Koumoutsakos, W. Kinzelbach, Journal of Computational Physics, 173, 322-347, 2001

A Lagrangian scheme is presented for the two-dimensional simulation of 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.