An ELLAM Scheme for Advection-Dispersion Equations in Two Dimensions
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چکیده
We develop an ELLAM (Eulerian-Lagrangian localized adjoint method) scheme to solve twodimensional advection-dispersion equations with all combinations of in ow and out ow Dirichlet, Neumann, and ux boundary conditions. The ELLAM formalism provides a systematic framework for implementation of general boundary conditions, leading to mass-conservative numerical schemes. The computational advantages of the ELLAM approximation have been demonstrated for a number of one-dimensional transport systems; practical implementations of ELLAM schemes in multiple spatial dimensions that require careful algorithm development are discussed in detail in this paper. Extensive numerical results are presented to compare the ELLAM scheme with many widely used numerical methods and to demonstrate the strength of the ELLAM scheme.
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تاریخ انتشار 1998