Numerical linear stability on controlled solutions of Boussinesq Navier‐Stokes | Zendy

Navarro María Cruz | Zendy; Herrero Henar | Zendy

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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)

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