An Upstream Weight Finite Element Method for Solving the 3-Dimensional Convection-Dispersion Equations
A simple upstream weight finite element method is presented to simulate the 3-dimensional transport of contaminant in aquifer. The principal procedure of this method is the same as the general Galerkin finite element method, except that six invented nodes are added to each triangular prism element. The concentrations of the invented nodes are defined as the weighted combinations of those of the real nodes. The weighting coefficients are determined by the local Peclet number. When convective transport dominates the dispersive transport, this technique can eliminate the oscillation of the numerical solutions efficiently with only a nominal increase of computation effort over that of the general linear Galerkin finite element method. A classical example is used to illustrate the accuracy of the proposed numerical model.
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