SUPG stabilized finite element resolution of the Navier–Stokes equations: Applications to water treatment engineering

In this paper an analysis of the viscous incompressible flow has been carried out, from the very definition of the governing equations, up to the resolution of some practical problems, passing through the comprehensive study of the stabilized finite element techniques used in their resolution. As a...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2002-12, Vol.191 (51), p.5899-5922
Main Authors: Vellando, P., Puertas, J., Colominas, I.
Format: Article
Language:English
Subjects:
Computational methods in fluid dynamics
Computational techniques
Exact sciences and technology
FEM
Finite-element and galerkin methods
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Navier–Stokes
Physics
SUPG
Viscous incompressible flow
Wastewater treatment
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Summary:In this paper an analysis of the viscous incompressible flow has been carried out, from the very definition of the governing equations, up to the resolution of some practical problems, passing through the comprehensive study of the stabilized finite element techniques used in their resolution. As a consequence of this analysis, a code based upon a realistic interpretation of the forces has been written, which allows for the modelling of the open channel flow, with optimum results in the resolution of some benchmark and real flow problems related with the wastewater industry.
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(02)00503-0