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Semianalytical computation of path lines for finite-difference models

Ground Water

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Abstract

A semianalytical particle tracking method was developed for use with velocities generated from block-centered finite-difference ground-water flow models. Based on the assumption that each directional velocity component varies linearly within a grid cell in its own coordinate directions, the method allows an analytical expression to be obtained describing the flow path within an individual grid cell. Given the intitial position of a particle anywhere in a cell, the coordinates of any other point along its path line within the cell, and the time of travel between them, can be computed directly. For steady-state systems, the exit point for a particle entering a cell at any arbitrary location can be computed in a single step. By following the particle as it moves from cell to cell, this method can be used to trace the path of a particle through any multidimensional flow field generated from a block-centered finite-difference flow model. -Author

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Semianalytical computation of path lines for finite-difference models
Series title:
Ground Water
Volume
26
Issue:
6
Year Published:
1988
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
First page:
743
Last page:
750
Number of Pages:
8