Consistent SPH simulations of the anisotropic dispersion of a contaminant plume

Abstract

Solute transport through heterogeneous porous media is governed by fluid advection, molecular diffusion and anisotropic dispersion. The dispersion is assumed to obey Fick's law and the dispersion coefficient is defined as a second rank tensor. However, this problem has revealed to be a very difficult one because independently of the numerical methods employed, the solutions are seen to exhibit artificial oscillations and negative concentrations when the