Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 173, Issue 1, Pages 322-347Publisher
ACADEMIC PRESS INC
DOI: 10.1006/jcph.2001.6879
Keywords
diffusion; particle methods
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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.
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