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Shortcomings of discontinuous‐pressure finite element methods on a class of transient problems
Author(s) -
Jog C. S.,
Kumar Rakesh
Publication year - 2009
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.2026
Subject(s) - interpolation (computer graphics) , finite element method , transient (computer programming) , mathematics , yield (engineering) , class (philosophy) , variety (cybernetics) , work (physics) , mathematical optimization , computer science , engineering , structural engineering , physics , mechanical engineering , thermodynamics , animation , statistics , computer graphics (images) , artificial intelligence , operating system
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.