Paulo A. Herrera and Roger D. Beckie An assessment of particle methods for approximating anisotropic dispersion International Journal for Numerical Methods in Fluids 71
We derive a smoothed particle hydrodynamics (SPH) approximation for anisotropic dispersion and compare it with the particle strength exchange (PSE) formulation and a standard finite volume formulation. We show that, given an appropriate selection of numerical parameters and regular particle distribution, the new SPH approximation is comparable with the PSE and the finite volume approximations. We also show that the performance of the SPH and PSE approximations decreases as the degree of disorder of the particle increases; however, the accuracy and convergence properties of both particle methods can be improved by an appropriate choice of some numerical parameters such as kernel core size and kernel function.
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