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Accurate three‐dimensional simulation of lid‐driven cavity flow
Author(s) -
Albensoeder Stefan,
Kuhlmann Hendrik C.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310455
Subject(s) - convergence (economics) , gravitational singularity , benchmark (surveying) , instability , computer simulation , mechanics , collocation (remote sensing) , flow (mathematics) , bifurcation , boundary (topology) , boundary value problem , square (algebra) , mathematics , mathematical analysis , geometry , computer science , physics , nonlinear system , geology , geodesy , quantum mechanics , machine learning , economics , economic growth
The numerical simulation of the one‐sided lid‐driven cavity is a classical benchmark problem. However, no reliable results are available for three‐dimensional flows slightly above their onset. In this study, we develop an accurate numerical code based on collocation methods for solid and periodic boundary conditions in span direction. The corner singularities of the problem are reduced by incorporation of analytical solutions. A convergence study is performed and, as an example, the bifurcation from the primary instability is calculated in a cavity with a square cross‐section.