Adjoint equation-based methods for control problems in incompressible, viscous flows

Flow, Turbulence and Combustion

Volumn 65, Issue 3-4, 2000, Pages 249-272

  Gunzburger, Max ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

Adjoint methods; Control problems; Incompressible flows; Navier Stokes equations; Viscous flows

Indexed keywords

CONSTRAINT THEORY; DRAG; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; OPTIMIZATION;

ADJOINT METHODS;

VISCOUS FLOW;

EID: 0034433548     PISSN: 13866184     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011455900396     Document Type: Review

References (42)

1. On some control problems in fluid mechanics
2. Numerical solution of a flow control problem: Vorticity reduction by dynamic boundary action
3. A computational approach to controllability issues for flow-related models, Part I
4. Parallel solution of optimal-control problems by time-domain decomposition
5. Optimal and robust approaches for linear and nonlinear regulation problems in fluid mechanics
6. ADIFOR 2.0: Automatic differentiation of Fortran 77 programs
7. Sensitivity discrepancy for geometric parameters
8. Discretization of cost and sensitivities in shape optimization
9. Optimal control of Navier-Stokes equations
10. On some control problems and results related to the unique solution of mixed problems by the three-dimensional Navier-Stokes and Euler equations
11. Control problems and results on the unique solution of mixed problems by the three-dimensional Navier-Stokes and Euler equations
12. Boundary value problems and optimal boundary control for the Navier-Stokes system: The two-dimensional case
13. Low-dimensional control of the circular cylinder wake. Part 1. Strategy. Part 2. Control of prototype wake
14. On automatic differentiation
15. Sensitivities in computational methods for optimal flow control
16. Treating inhomogeneous essential boundary conditions in finite element methods and the calculation of boundary stresses
17. Numerical approximation of an optimal control problem associated with the Navier-Stokes equations
18. Analysis and finite element approximations of optimal control problems for the stationary Navier-Stokes equations with distributed and Neumann controls
19. Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls
20. Boundary velocity control of incompressible flow with an application to viscous drag reduction
21. The velocity tracking problem for Navier-Stokes flows with bounded distributed control
22. Analysis and approximation of the velocity tracking problem for Navier-Stokes flows with distributed control
23. The velocity tracking problem for Navier-Stokes flows with boundary control
24. The reduced basis method in control problems
25. Dynamics for controlled Navier-Stokes systems with distributed controls
26. Automatic differentiation and Navier-Stokes computations
27. A methodology for the automated optimal control of flows including transitional flows
28. Active control of vortex-wall interactions
29. Tracing post-limit-point paths with reduced basis technique
30. A reduced basis method for incompressible viscous flow calculations
31. Automatic differentiation in Odysee
32. Dynamic programming of Navier-Stokes equations