Research Article
Mar 1980
Ground-Water Flow Computations by Method of Lines
Publication: Journal of the Irrigation and Drainage Division
Volume 106, Issue 1
Abstract
The Method of Lines has been applied successfully to the solution of the Boussinesq equation governing unconfined, saturated, transient ground-water flow. The time discrete-space continuous approach was chosen, and the PDE was converted to a set of ODE in space. The resulting set of two-point boundary value problems, one for each time level, was solved numerically by a shooting technique in connection with inverse interpolation. The method was found to be versatile, efficient, and easy to program. In two examples involving different boundary conditions, the numerical integration has been carried out utilizing a Runge-Kutta scheme on a computer and a simpler, second-order finite difference on a programmable hand-held calculator.
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Published In
Journal of the Irrigation and Drainage Division
Volume 106 • Issue 1 • March 1980
Pages: 1 - 8
Copyright
© 1980 American Society of Civil Engineers.
History
Published in print: Mar 1980
Published online: Feb 11, 2021
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Authors
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Antonis D. Koussis, AM.ASCE
Asst. Prof., Hydr. Lab., Dept. of Civ. Engrg., Univ. of Florida, Gainesville, Fla.
Richard W. Watson, AM.ASCE
Lead Environmental Engr., Stone and Webster Engineering Corp., Branch Office, Cherry Hill, N.J.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.