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One last visit to the capillarity correction for free surface flow
Author(s) -
Fink James P.,
Parlange J.Y.,
ElKadi Aly I.
Publication year - 2001
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 - 10.1029/2000wr900318
Subject(s) - drawdown (hydrology) , flow (mathematics) , diffusion , table (database) , interpretation (philosophy) , differential equation , mathematics , mechanics , calculus (dental) , computer science , mathematical analysis , geology , geotechnical engineering , geometry , physics , thermodynamics , data mining , groundwater , aquifer , medicine , dentistry , programming language
When a capillarity correction is incorporated into the diffusion equation to describe the sudden drawdown of a water table, the resulting differential equation preserves, instead of smoothes, irregularities in the initial data. We describe how this problem can be handled by a proper and careful interpretation of the initial conditions, explain why it works, and illustrate the resulting behavior with numerical experiments.