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TECHNICAL PAPERS

Boundary Optimal Control of Natural Convection by Means of Mode Reduction

[+] Author and Article Information
H. M. Park, W. J. Lee

Department of Chemical Engineering, Sogang University, Seoul, Korea

J. Dyn. Sys., Meas., Control 124(1), 47-54 (Oct 30, 2000) (8 pages) doi:10.1115/1.1435646 History: Received October 30, 2000
Copyright © 2002 by ASME
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References

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Park,  H. M., and Lee,  M. W., 1998, “An Efficient Method of Solving the Navier-Stokes Equation for the Flow Control,” Int. J. Numer. Methods Eng., 41, pp. 1131–1151.
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Park,  H. M., and Kim,  O. Y., 2000, “A Reduction Method for the Boundary Control of the Heat Conduction Equation,” ASME J. Dyn. Syst., Meas., Control 122, pp. 435–444.
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Figures

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(af ) Empirical eigenfunction. (a) The first velocity eigenfunction (λ1=0.957086); (b) the second velocity eigenfunction (λ2=2.35708×10−2); (c) the 17th velocity eigenfunction (λ17=3.62879×10−5); (d) the first temperature eigenfunction (λ1=0.847330); (e) the second temperature eigenfunction (λ2=4.13240×10−2); (f ) the 30th temperature eigenfunction (λ30=7.23482×10−6).
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Optimal heat flux f(x,t) for the suppression problem, obtained by the SM-CG and by the KLG-CG, respectively
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Quantitative comparison of f(x,t), obtained by the SM-CG and by the KLG-CG, at several instances
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Accuracy of the low dimensional dynamic model in comparison with the exact numerical simulation. (a), (b) for u; (c), (d) for v; (e), (f ) for T.
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Optimal heat flux f(x,t) for the enhancement problem, obtained by the SM-CG and by the KLG-CG, respectively
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Comparison of the temporal enhancement of strength of convection, obtained by the SM-CG and by the KLG-CG

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