ANALYSIS AND COMPUTATIONS OF OPTIMAL AND FEEDBACK CONTROL PROBLEMS FOR NAVIER-STOKES EQUATIONS

  • 발행 : 1997.11.01

초록

We present analysis and some computational methods for boundary optimal and feedback control problems for Navier-Stokes equations. We use one example to illustrate our methodology and ideas which are applicable to general control problems for Navier-Stokes equations. First, we discuss the existence of optimal solutions and derive an optimality system of equations from which an optimal solution may be computed. Then we present a gradient type iterative method. Finally, we present some numerical results.

키워드

참고문헌

  1. The oret. Compt. Fluid Dynamics v.1 On some control problems in fluid mechanics F. Abergel;R. Temam
  2. Sobolev Spaces R. Adams
  3. Preprint Least-squars mehods for Navier-Stokes boundary control problems P. Bochev;. Bedivan
  4. J. Fluid Mech v.253 Feedback control for unsteady flow and its application to the stochastic Burgers equation H. Choi;R. Temam;P. Moin;J. Kim
  5. SLAM J. Control and Optimization v.32 Optimal controls of Navier-Stokes equations M.Desai;K. Ito
  6. Finite element Methods for Navier-Stokes Equations V. Girault;P. A. Raviart
  7. Mod. Math. Anl. Numer v.25 no.7 Analysis and finite element approximation of optimal control problems for the stationary navier-Stokes equations with Dirichlet controls M. Gunzburger;L. Hou;T. Svobodny
  8. SIAM J. Control and Optimization v.30 Boundary velocity control of incompressible flow with an application to viscous drag reduction M. Gunzburger;L. Hou;T. Svobodny
  9. Comp. Methods Appl. Mech. Engng. v.118 Analysis approximation, and computation of a coupled solid/fluid temperature control, problem M. Gunzburger;H. Lee
  10. To appear in J. of Applied Mech Feedback control of Karman vortex shedding M. Gunzburger;H. Lee
  11. Math. Programming v.16 First and second-order necessary and sufficient optimality condtions for infinite-dimensiorial programming problems H. Haurer;J. Zowe
  12. Principles of Functional Analsis M. Schecter