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Numerical linear stability on controlled solutions of Boussinesq Navier‐Stokes
Author(s) -
Navarro María Cruz,
Herrero Henar
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700686
Subject(s) - stability (learning theory) , mathematics , boundary (topology) , vorticity , collocation (remote sensing) , navier–stokes equations , chebyshev filter , gaussian , mathematical analysis , mechanics , physics , computer science , vortex , quantum mechanics , compressibility , machine learning
A numerical linear stability analysis on optimally controlled solutions in a thermoconvective problem is presented. The thermoconvective problem is a stationary Boussinesq Navier‐Stokes with a gaussian heating at the bottom with a large horizontal temperature gradient. The numerical method is Chebyshev collocation. The optimal control permits to find a boundary condition such that the vorticity is minimized. For some values of the penalizing parameter the controlled solution is more stable than the corresponding uncontrolled one. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)