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Resolution of the flow in clarifiers by using a stabilized finite element method
Author(s) -
Vellando P.,
Puertas J.,
Colominas I.
Publication year - 2003
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.617
Subject(s) - streamlines, streaklines, and pathlines , flow (mathematics) , resolution (logic) , finite element method , stokes flow , navier–stokes equations , stability (learning theory) , mathematics , work (physics) , computer science , mechanics , geometry , engineering , physics , mechanical engineering , thermodynamics , artificial intelligence , machine learning , compressibility
The description of the flow that takes place in clarifiers and other wastewater treatment basins may be a powerful tool to attain an optimum design of these structures, in order to make the most of the wastewater treatment plant resources. Some authors have attempted so by making use of the potential flow or the Stokes equations. When these simplifications are used, an approximation of the flow for slow creeping conditions is obtained, but only the resolution of the all‐term‐including Navier–Stokes equations will allow us to detect the real streamlines and the vortices that show up for even very slow water flows. The use of the Navier–Stokes formulae as the governing equations involves the appearance of complex stability problems that do not show up for the previously mentioned simplifications. In the present work a stable finite element method for the resolution of the Navier–Stokes equations is presented, verified, and used in the resolution of some wastewater treatment flow problems with very interesting results. Copyright © 2004 John Wiley & Sons, Ltd.