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SOME EXPERIMENTS WITH STABILITY ANALYSIS OF DISCRETE INCOMPRESSIBLE FLOWS IN THE LID‐DRIVEN CAVITY
Author(s) -
GERVAIS J. J.,
LEMELIN D.,
PIERRE R.
Publication year - 1997
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/(sici)1097-0363(19970315)24:5<477::aid-fld500>3.0.co;2-s
Subject(s) - discretization , mathematics , tangent , bifurcation , eigenvalues and eigenvectors , finite element method , stability (learning theory) , compressibility , subspace topology , laminar flow , incompressible flow , mathematical analysis , flow (mathematics) , spectrum (functional analysis) , continuation , geometry , physics , mechanics , nonlinear system , computer science , quantum mechanics , machine learning , thermodynamics , programming language
We present results of a stability analysis of the lid‐driven cavity flow based on classical C 0 finite element discretizations of the Navier–Stokes system. Using arc length continuation and subspace iteration to compute the eigenvalues of the tangent operator, we study the dependence of the bifurcation diagram and of the spectrum on the chosen discretization. © 1997 by John Wiley & Sons, Ltd.