Boundary optimal control of the Navier-Stokes equations - A numerical approach

International Journal of Engineering Science

Volumn 40, Issue 19, 2002, Pages 2119-2135

  Park, H M ^a   Lee, W J ^a   Chung, J S ^b  

^a Sogang University   (South Korea)

^b Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; CHEMICAL REACTORS; ITERATIVE METHODS;

BOUNDARY OPTIMAL CONTROL;

NAVIER STOKES EQUATIONS;

EID: 0036838413     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7225(02)00136-2     Document Type: Article

References (12)

1. Temam R. Navier-Stokes Equations and Nonlinear Functional Analysis. 1983;SIAM, Philadelphia, PA.
2. Abergel F., Temam R. On some control problems in fluid mechanics. Theoret. Comput. Fluid Dyn. 1:1990;303-326.
3. Gunzburger M.D., Hou L.S., Svobodny T.P. Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with distributed and Neumann controls. Math. Comp. 57:1991;123-151.
4. Gunzburger M.D., Hou L.S., Svobodny T.P. Boundary velocity control of incompressible flow with an application to viscous drag reduction. SIAM J. Control Optim. 30:1992;167-181.
5. Sritharan S.S. Dynamic programming of Navier-Stokes equations. Syst. Control Lett. 16:1991;299-307.
6. Dean E.J., Gubernatis Pointwise control of Burgers' equation - a numerical approach. Comput. Math. Appl. 22:1991;93-100.
7. Park H.M., Lee M.W., Jang Y.D. An efficient computational method of boundary optimal control problems for the Burgers equation. Comput. Methods Appl. Mech. Engng. 166:1998;289-308.
8. Choi H., Temam R., Moin P., Kim J. Feedback control for unsteady flow and its application to the stochastic Burgers equation. J. Fluid Mech. 253:1993;509-543.
9. Berggren M. Numerical solution of a flow-control problem: Vorticity reduction by dynamic boundary action. SIAM J. Sci. Comput. 19:1998;829-860.
10. Park H.M., Lee M.W. Boundary control of the Navier-Stokes equation by empirical reduction of modes. Comput. Methods Appl. Mech. Engng. 188:2000;165-186.
11. Glowinski R. Ensuring well-posedness through analogy: Stokes problem and boundary control of the wave equation. J. Comput. Phys. 104:1993;189-221.
12. Patankar S.V. Numerical Heat Transfer and Fluid Flow. 1980;McGraw-Hill, New York.