Boundary optimal control of natural convection by means of mode reduction

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

Volumn 124, Issue 1, 2002, Pages 47-54

  Park, H M ^a   Lee, W J ^a  

^a Sogang University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; GALERKIN METHODS; HEAT FLUX; NAVIER STOKES EQUATIONS; OPTIMAL CONTROL SYSTEMS; VISCOUS FLOW;

BOUNDARY OPTIMAL CONTROL; DOPANTS; MODE REDUCTION; OPTIMAL HEAT FLUX;

NATURAL CONVECTION;

EID: 10844233269     PISSN: 00220434     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1435646     Document Type: Article

References (15)

1. Chandrasekhar, S., 1969. Hydrodynamic and Hydromagnetic Stability, Oxford University Press.
2. Drazin, P. G., and Reid, W. H., 1981, Hydrodynamic Stability, Cambridge University Press
3. Series, R. W., and Hurle, D. T. J., 1991, "The Use of Magnetic Fields in Semiconductor Crystal Growth," J. Cryst. Growth, 113, pp. 305-328.
4. Sterl, A., 1990, "Numerical Simulation of Liquid Metal MHD Flows in Rectangular Ducts," J. Fluid Mech., 216, pp. 161-191.
5. Gunzburger, M. D., Hou, L., and Svobodny, T. P., 1991, "Boundary Velocity Control of Incompressible Flow with an Application to Viscous Drag Reduction," SIAM J. Control Optim., 30, pp. 167-181.
6. 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.
7. Park, H. M., and Cho, D. H., 1996, "Low Dimensional Modeling of Flow Reactors," Int J. Heat Mass Transf, 39, pp. 3311-3323.
8. 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.
9. Courant, R., and Hubert, D., 1962, Methods of Mathematical Physics 1, Wiley-Interscience, New York.
10. Luenberger, D. G., 1984, Linear and Nonlinear Programming, 2nd ed., Addison-Wesley, Reading, MA.
11. Berggren, M., 1998, "Numerical Solution of a Flow-Control Problem: Vorticity Reduction by Dynamic Boundary Action," SIAM J Sci. C omput. (USA), 19, pp. 829-860
12. Glowinski, R., 1993, "Ensuring Well-Posedness through Analogy. Stokes Problem and Boundary Control of the Wave Equation," J Comput. Phys, 104, pp. 189-221.
13. Park, H. M., and Lee, W. J., 2002, "Numerical Methods for the Boundary Optimal Control Problems of the Heat Equation," Int. J. Numer. Methods Eng, (in press)
14. Park, H. M., and Chung, O. Y., 1999, "Inverse Natural Convection Problem of Estimating Wall Heat Flux Using a Moving Sensor," ASME J Heat Transfer, 121, pp. 828-836.
15. Park, H. M., and Jung, W. S., 2001, "The Karhunen-Loève Galerkin Method for the Inverse Natural Convection Problems," Int J. Heat Mass Transf., 44, pp. 155-167