Research Article
Apr 1981
Mathematical Model of Shallow Water Flow over Porous Media
Authors: Ali Osman Akan and Ben Chie Yen, F.ASCEAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 107, Issue 4
Abstract
A conjunctive mathematical model for a surface-subsurface flow system is developed. The unsteady surface flow is explored by a set of one-dimensional dynamic wave equations for shallow water, which are solved by using a four-point implicit finite-difference scheme. The transient subsurface flow is two-dimensional, with potential gradients in the vertical direction as well as the surface flow direction. The porous medium may be saturated or unsaturated or both, and it can be nonhomogeneous and anisotropic. The subsurface flow equation is solved by employing a successive line over-relaxation implicit finite-difference scheme. The surface and subsurface flow components are coupled at the ground surface considering the mass conservation and pressure relationships. The model is verified by using existing experimental data and analytical solutions for special cases.
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Information
Published In
Journal of the Hydraulics Division
Volume 107 • Issue 4 • April 1981
Pages: 479 - 494
Copyright
© 1981 American Society of Civil Engineers.
History
Published in print: Apr 1981
Published online: Feb 3, 2021
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Authors
Affiliations
Ali Osman Akan
Asst. Prof., Dept. of Civ. Engrg., Middle East Technical Univ., Ankara, Turkey
Ben Chie Yen, F.ASCE
Prof. of Civ. Engrg., Univ. of Illinois at Urbana-Champaign, Urbana, Ill. 61801
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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.