Shortcomings of discontinuous-pressure finite element methods on a class of transient problems

Past studies that have compared LBB stable discontinuous‐ and continuous‐pressure finite element formulations on a variety of problems have concluded that both methods yield solutions of comparable accuracy, and that the choice of interpolation is dictated by which of the two is more efficient. In t...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2010-01, Vol.62 (3), p.313-326
Main Authors: Jog, C. S., Kumar, Rakesh
Format: Article
Language:English
Subjects:
Accuracy
Computational fluid dynamics
Computational methods in fluid dynamics
Copyrights
element
Exact sciences and technology
finite
Finite element method
Fluid dynamics
Fluid flow
Fundamental areas of phenomenology (including applications)
incompressible flow
Interpolation
laminar flow
Laminar flows
Laminar flows in cavities
Low-reynolds-number (creeping) flows
Mathematical analysis
Mathematical models
Navier Stokes
Physics
viscous flow
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Summary:Past studies that have compared LBB stable discontinuous‐ and continuous‐pressure finite element formulations on a variety of problems have concluded that both methods yield solutions of comparable accuracy, and that the choice of interpolation is dictated by which of the two is more efficient. In this work, we show that using discontinuous‐pressure interpolations can yield inaccurate solutions at large times on a class of transient problems, while the continuous‐pressure formulation yields solutions that are in good agreement with the analytical solution. Copyright © 2009 John Wiley & Sons, Ltd.
ISSN:0271-2091
1097-0363
1097-0363
DOI:10.1002/fld.2026