Orthogonal collocation and alternating-direction procedures for unsaturated flow problems

Michael Anthony Celia, Lajpat R. Ahuja, George F. Pinder

Research output: Contribution to journalArticlepeer-review

50 Scopus citations


The alternating-direction collocation method has recently been developed for general parabolic equations. In order to test the applicability of the procedure to highly nonlinear problems, an alternating-direction collocation algorithm is developed to simulate two-dimensional flow in unsaturated porous media. The algorithm employs an alternating-direction solution procedure within the framework of a modified Picard iteration scheme. Numerical behaviour of the new procedure is compared to the behaviour of a standard two-dimensional collocation formulation. The new method is also tested on several infiltration problems of practical interest, including a layered and sloping soil. Results demonstrate the method to be accurate and highly mass conservative. The algorithm also produces significant savings in both execution time and storage.

Original languageEnglish (US)
Pages (from-to)178-187
Number of pages10
JournalAdvances in Water Resources
Issue number4
StatePublished - Dec 1987

All Science Journal Classification (ASJC) codes

  • Water Science and Technology


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