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Some new procedures for numerical solution of variably saturated flow problems
Author(s) -
Cooley Richard L.
Publication year - 1983
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr019i005p01271
Subject(s) - discretization , flow (mathematics) , variety (cybernetics) , finite element method , series (stratigraphy) , nonlinear system , mathematics , stability (learning theory) , calculus (dental) , numerical analysis , computer science , mathematical optimization , geology , engineering , mathematical analysis , geometry , structural engineering , physics , medicine , paleontology , statistics , dentistry , quantum mechanics , machine learning
Persistent difficulties that arise in forming numerical solutions of variably saturated flow problems include controlling the stability of the nonlinear equation solvers and devising a reliable, yet efficient, method for determining the positions of seepage surfaces. New techniques for addressing these problems are applied to a subdomain finite element discretization of the governing flow equations. A series of test problems demonstrates that the techniques are reliable and efficient for a wide variety of problems.