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Analysis of some dispersion corrected numerical schemes for solution of the transport equation

✍ Scribed by Martinus T H. Van Genuchten; William G. Gray

Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
684 KB
Volume
12
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

In the last decade or so finite element techniques have been applied with increased frequency to contaminant transport problems. Whereas most of the attention has focused on finite element approximations of spatial derivatives, standard finite difference techniques are generally used for approximation of the time derivative. Such an approach yields a scheme which is at best second order correct in time. In this study several higher order approximations of the time derivative are developed and analyzed using a finite difference approximation, and Galerkin‐type finite element approximations in conjunction with several sets of basis functions. Results obtained with the different schemes exhibit significant improvements in the numerical solution of the convective‐dispersive equation.

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