Research Article
Jul 1978
Transient Flow in Unsaturated Porous Media
Publication: Journal of the Hydraulics Division
Volume 104, Issue 7
Abstract
Transient water movement in both horizontal and vertical unsaturated porous media is investigated. The nonlinear partial differential equation governing the one-dimensional flow is solved by the orthogonal collocation method. This method involves the approximation of the spatial derivative terms in the partial differential equation by an orthogonal polynomial and thus the partial differential equation is transformed into a set of ordinary differential equations which in turn can be integrated numerically. The present numerical solutions are found to be in excellent agreement with previous solutions for the cases under consideration. Because of its high accuracy, computational stability and easy implementation, the orthogonal collocation method can be a very good alternative for tackling these nonlinear diffusion problems.
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Published In
Journal of the Hydraulics Division
Volume 104 • Issue 7 • July 1978
Pages: 975 - 982
Copyright
© 1978 American Society of Civil Engineers.
History
Published in print: Jul 1978
Published online: Feb 3, 2021
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Authors
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Sheng Hsiung Lin
Asst. Prof., Dept. of Chemical Engrg., Polytechnic Inst. of New York, Brooklyn, N.Y.; formerly, Lect., Dept. of Chemical Engrg., Univ. of Melbourne, Parkville, Victoria, Australia
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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.