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Numerical Implementation Of A Space-Transformation Approach For Solving The Three-Dimensional Flow Equation
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BibTeX
@MISC{George_numericalimplementation,
author = {Dionissios Hristopulos George and George Christakos and Marc Serre},
title = {Numerical Implementation Of A Space-Transformation Approach For Solving The Three-Dimensional Flow Equation},
year = {}
}
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Abstract
. This work is concerned with the numerical implementation of the space-transformation approach in porous media modeling. Space transformation is a mathematical approach that simplifies the study of multidimensional problems by reducing them to unidimensional ones. In particular, the implementation aspects considered in this work include (i) the development and testing of numerical space-transformation algorithms for three-dimensional, space-dependent functions that can be used to model flow within porous media, and (ii) the use of these algorithms to solve partial di#erential equations governing groundwater flow. We also establish the competitiveness of the spacetransformation -based numerical procedures in terms of accuracy and speed. Further improvements in computational speed can be accomplished by parallel implementation of the space-transformation calculations. The space-transformation method is shown to provide a computationally e#cient approach for obtaining three-dimensional f...
Keyphrases
numerical implementation space-transformation approach three-dimensional flow equation porous medium parallel implementation multidimensional problem space-transformation method cient approach numerical procedure space transformation unidimensional one space-dependent function space-transformation calculation mathematical approach computational speed implementation aspect partial di erential equation groundwater flow numerical space-transformation algorithm
