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Perspectives in Flow Control and Optimization illustrated edition [Kietas viršelis]

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  • Formatas: Hardback, 275 pages, aukštis x plotis x storis: 229x152x17 mm, weight: 643 g, Illustrations
  • Serija: Advances in Design and Control v. 5
  • Išleidimo metai: 01-Jan-1987
  • Leidėjas: Society for Industrial & Applied Mathematics,U.S.
  • ISBN-10: 089871527X
  • ISBN-13: 9780898715279
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 275 pages, aukštis x plotis x storis: 229x152x17 mm, weight: 643 g, Illustrations
  • Serija: Advances in Design and Control v. 5
  • Išleidimo metai: 01-Jan-1987
  • Leidėjas: Society for Industrial & Applied Mathematics,U.S.
  • ISBN-10: 089871527X
  • ISBN-13: 9780898715279
Kitos knygos pagal šią temą:
Flow control and optimization has been an important part of experimental flow science throughout the last century. As research in computational fluid dynamics (CFD) matured, CFD codes were routinely used for the simulation of fluid flows. Subsequently, mathematicians and engineers began examining the use of CFD algorithms and codes for optimization and control problems for fluid flows. The marriage of mature CFD methodologies with state-of-the-art optimization methods has become the center of activity in computational flow control and optimization. Perspectives in Flow Control and Optimization presents flow control and optimization as a subdiscipline of computational mathematics and computational engineering. It introduces the development and analysis of several approaches for solving flow control and optimization problems through the use of modern CFD and optimization methods. The author discusses many of the issues that arise in the practical implementation of algorithms for flow control and optimization, such as choices to be made and difficulties to overcome. He provides the reader with a clear idea of what types of flow control and optimization problems can be solved, how to develop effective algorithms for solving such problems, and potential problems to be aware of when implementing the algorithms.
Preface xi
Introductory Comments
1(10)
A brief history of flow control and optimization
1(6)
Flow control without fluids
2(1)
Flow optimization without optimization
3(2)
Flow control without objectives
5(1)
Flow control and optimization and CFD
6(1)
The structure of flow control problems
7(1)
Some philosophical observations
8(3)
Three Approaches to Optimal Control and Optimization
11(52)
Model control and optimization problems
11(3)
One-shot methods
14(7)
Sensitivity- and adjoint-based optimization methods
21(7)
Optimization-based methods
21(1)
The gradient of the functional through sensitivities
22(4)
The gradient of the functional through adjoint equations
26(2)
Other types of controls
28(12)
Boundary controls
29(3)
Infinite-dimensional controls
32(8)
Other types of functionals and partial controls
40(8)
Time-dependent problems
48(4)
Side constraints
52(3)
One-shot vs. sensitivity vs. adjoint approaches
55(2)
Differentiate-then-discretize vs. discretize-then-differentiate
57(6)
Illustrations of the Three Approaches
63(38)
One-shot method for a temperature matching problem in a coupled solid-fluid heat transfer problem
63(7)
Sensitivity equation method for an optimization problem for Euler flows
70(5)
Computational experiments for the adjoint equation approach to optimization using flow matching functionals
75(19)
Distributed control with a penalized functional
76(7)
Distributed control with an explicit bound on the control
83(8)
Boundary control
91(3)
Adjoint equation optimization approach to suppressing instabilities in boundary layers
94(7)
An observation about outflow boundary conditions
97(4)
Questions of Accuracy and Consistency
101(42)
Insensitive functionals, inconsistent gradients, spurious minima, and regularized functionals in a viscous flow example
101(20)
Insensitive cost functionals
105(3)
Inconsistent functional gradients
108(5)
Spurious minima
113(1)
Regularization of the functional
114(4)
Implications for practical flow control problems
118(3)
Spurious minima and regularized functionals for flows with discontinuities
121(2)
Spurious minima
121(2)
Regularization of discretized functionals
123(1)
Sensitivities for flows with discontinuities
123(16)
Effects of inaccuracies in the sensitivities on optimization problems
137(2)
Inaccuracies at the boundaries
139(4)
Reducing the Costs of Optimization and Control Calculations
143(10)
Storage saving schemes for time-dependent adjoint calculations
145(2)
Reduced-order methods
147(6)
Proper orthogonal decomposition
150(3)
A Peek at the Analysis and Numerical Analysis of Optimal Flow Control Problems
153(56)
Analysis and approximation of stationary optimal control problems
153(20)
Analysis of an abstract nonlinear stationary control problem
155(5)
Finite-dimensional approximations of an abstract nonlinear stationary control and optimization problem
160(4)
Application to a boundary velocity control problem for the stationary Navier--Stokes equations
164(9)
Analysis of a shape control problem for the stationary Navier--Stokes equations
173(17)
The model shape control problem and existence of solutions
179(1)
Direct determination of the optimality system and shape gradient
179(5)
The Lagrange multiplier method
184(6)
The velocity tracking problem for unsteady Navier--Stokes flows with boundary control
190(19)
Formulation and analysis of the optimal control problem
192(6)
Semidiscrete-in-time approximations
198(6)
Fully discrete space-time approximations
204(3)
Implementation of fully discrete space-time approximations
207(2)
A Brief Look at the Feedback Control of Fluids Flows
209(12)
Linear feedback control of Navier--Stokes Flows
210(4)
Feedback control of lift oscillations in flow around a cylinder
214(3)
Suppression of 2D Tollmien--Schlichting instability through feedback
217(4)
Bibliography 221(32)
Index 253