Research Article
Sep 1977
Hydrodynamics of Border Irrigation — Complete Model
Publication: Journal of the Irrigation and Drainage Division
Volume 103, Issue 3
Abstract
The equations of border irrigation are solved by the method of characteristics using a prescribed time increment. At each time step the flow conditions are computed at irregularly spaced nodes on a grid moving with time. Characteristic curves are drawn backwards from each node until they intersect the previous time line. The resulting system of four nonlinear algebraic equations is solved iteratively by the Newton-Raphson method leading to second-order accuracy with respect to the time step. The complete irrigation phenomenon is modeled, i.e., advance, depletion, recession and runoff or ponding, by using the pertinent characteristic equations for the associated boundary conditions. The second-order accuracy of the processes permits use of larger time steps and fewer computational nodes than in first-order models. The moving grid precisely encompasses the solution domain and permits concentration of nodes in highly nonlinear regions. The result is an efficient algorithm that permits programming and application to practical situations at reasonable cost.
Get full access to this article
View all available purchase options and get full access to this article.
Information & Authors
Information
Published In
Journal of the Irrigation and Drainage Division
Volume 103 • Issue 3 • September 1977
Pages: 309 - 324
Copyright
© 1977 American Society of Civil Engineers.
History
Published in print: Sep 1977
Published online: Feb 11, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
Nikolaos D. Katopodes, AM.ASCE
Asst. Development Engr., Water Sci. and Engrg., Univ. of California, Davis, Calif.
Theodor Strelkoff, M.ASCE
Prof. of Water Sci. and Civ. Engrg., Univ. of California, Davis, Calif.
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.
View Options
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
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.
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
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.