Perspectives in flow control and optimization:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia
SIAM , Soc. for Industrial and Applied Mathematics
2003
|
| Schriftenreihe: | Advances in design and control
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 261 S. graph. Darst. |
| ISBN: | 089871527X |
Internformat
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Datensatz im Suchindex
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| adam_text | PERSPECTIVES IN FLOW CONTROL AND OPTIMIZATION MAX D. GUNZBURGER IOWA
STATE UNIVERSITY AMES, IOWA 9 AND FLORIDA STATE UNIVERSITY TALLAHASSEE,
FLORIDA SIHIN. SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
PHILADELPHIA CONTENTS PREFACE XI 1 INTRODUCTORY COMMENTS 1 1.1 A BRIEF
HISTORY OF FLOW CONTROL AND OPTIMIZATION 1 1.1.1 FLOW CONTROL WITHOUT
FLUIDS 2 1.1.2 ROW OPTIMIZATION WITHOUT OPTIMIZATION 3 1.1.3 FLOW
CONTROL WITHOUT OBJECTIVES 5 1.1.4 FLOW CONTROL AND OPTIMIZATION AND CFD
6 1.2 THE STRUCTURE OF FLOW CONTROL PROBLEMS 7 1.3 SOME PHILOSOPHICAL
OBSERVATIONS . . . -. 8 2 THREE APPROACHES TO OPTIMAL CONTROL AND
OPTIMIZATION 11 2.1 MODEL CONTROL AND OPTIMIZATION PROBLEMS 11 2.2
ONE-SHOT METHODS 14 2.3 SENSITIVITY- AND ADJOINT-BASED OPTIMIZATION
METHODS 21 2.3.1 OPTIMIZATION-BASED METHODS 21 2.3.2 THE GRADIENT OF THE
FUNCTIONAL THROUGH SENSITIVITIES 22 2.3.3 THE GRADIENT OF THE FUNCTIONAL
THROUGH ADJOINT EQUATIONS .... 26 2.4 OTHER TYPES OF CONTROLS 28 2.4.1
BOUNDARY CONTROLS 29 2.4.2 INFINITE-DIMENSIONAL CONTROLS 32 2.5 OTHER
TYPES OF FUNCTIONALS AND PARTIAL CONTROLS 40 2.6 TIME-DEPENDENT PROBLEMS
**. 48 2.7 SIDE CONSTRAINTS 52 2.8 ONE-SHOT VS. SENSITIVITY VS. ADJOINT
APPROACHES 55 2.9 DIFFERENTIATE-THEN-DISCRETIZE VS.
DISCRETIZE-THEN-DIFFERENTIATE 57 3 ILLUSTRATIONS OF THE THREE APPROACHES
63 3.1 ONE-SHOT METHOD FOR A TEMPERATURE MATCHING PROBLEM IN A COUPLED
SOLID- FLUID HEAT TRANSFER PROBLEM 63 3.2 SENSITIVITY EQUATION METHOD
FOR AN OPTIMIZATION PROBLEM FOR EULER FLOWS . 70 3.3 COMPUTATIONAL
EXPERIMENTS FOR THE ADJOINT EQUATION APPROACH TO OPTIMIZA- TION USING
FLOW MATCHING FUNCTIONALS 75 3.3.1 DISTRIBUTED CONTROL WITH A PENALIZED
FUNCTIONAL 76 VII VIII CONTENTS 3.3.2 DISTRIBUTED CONTROL WITH AN
EXPLICIT BOUND ON THE CONTROL . .*. . 83 3.3.3 BOUNDARY CONTROL 91 3.4
ADJOINT EQUATION OPTIMIZATION APPROACH TO SUPPRESSING INSTABILITIES IN
BOUNDARY LAYERS 94 3.4.1 AN OBSERVATION ABOUT OUTFLOW BOUNDARY
CONDITIONS 97 4 QUESTIONS OF ACCURACY AND CONSISTENCY 101 4.1
INSENSITIVE FUNCTIONALS, INCONSISTENT GRADIENTS, SPURIOUS MINIMA, AND
REG- ULARIZED FUNCTIONALS IN A VISCOUS FLOW EXAMPLE 101 4.1.1
INSENSITIVE COST FUNCTIONALS 105 4.1.2 INCONSISTENT FUNCTIONAL GRADIENTS
108 4.1.3 SPURIOUS MINIMA 113 4.1.4 REGULARIZATION OF THE FUNCTIONAL 114
4.1.5 IMPLICATIONS FOR PRACTICAL FLOW CONTROL PROBLEMS 118 4.2 SPURIOUS
MINIMA AND REGULARIZED FUNCTIONALS FOR FLOWS WITH DISCONTINUITIES 121
4.2.1 SPURIOUS MINIMA 121 4.2.2 REGULARIZATION OF DISCRETIZED
FUNCTIONALS 123 4.3 SENSITIVITIES FOR FLOWS WITH DISCONTINUITIES 123
4.3.1 EFFECTS OF INACCURACIES IN THE SENSITIVITIES ON OPTIMIZATION
PROBLEMS 137 4.4 INACCURACIES AT THE BOUNDARIES 139 5 REDUCING THE COSTS
OF OPTIMIZATION AND CONTROL CALCULATIONS 143 5.1 STORAGE SAVING SCHEMES
FOR TIME-DEPENDENT ADJOINT CALCULATIONS 145 5.2 REDUCED-ORDER METHODS
147 5.2.1 PROPER ORTHOGONAL DECOMPOSITION 150 6 A PEEK AT THE ANALYSIS
AND NUMERICAL ANALYSIS OF OPTIMAL FLOW CONTROL PROBLEMS 153 6.1 ANALYSIS
AND APPROXIMATION OF STATIONARY OPTIMAL CONTROL PROBLEMS .... 153 6.1.1
ANALYSIS OF AN ABSTRACT NONLINEAR STATIONARY CONTROL PROBLEM . . 155
6.1.2 FINITE-DIMENSIONAL APPROXIMATIONS OF AN ABSTRACT NONLINEAR STA-
TIONARY CONTROL AND OPTIMIZATION PROBLEM 160 6.1.3 APPLICATION TO A
BOUNDARY VELOCITY CONTROL PROBLEM FOR THE STA- TIONARY NAVIER-STOKES
EQUATIONS . T 164 6.2 ANALYSIS OF A SHAPE CONTROL PROBLEM FOR THE
STATIONARY NAVIER-STOKES EQUATIONS 173 6.2.1 THE MODEL SHAPE CONTROL
PROBLEM AND EXISTENCE OF SOLUTIONS . . 179 6.2.2 DIRECT DETERMINATION OF
THE OPTIMALITY SYSTEM AND SHAPE GRADIENT 179 6.2.3 THE LAGRANGE
MULTIPLIER METHOD 184 6.3 THE VELOCITY TRACKING PROBLEM FOR UNSTEADY
NAVIER-STOKES FLOWS WITH BOUNDARY CONTROL 190 6.3.1 FORMULATION AND
ANALYSIS OF THE OPTIMAL CONTROL PROBLEM .... 192 6.3.2
SEMIDISCRETE-IN-TIME APPROXIMATIONS 198 6.3.3 FULLY DISCRETE SPACE-TIME
APPROXIMATIONS 204 6.3.4 IMPLEMENTATION OF FULLY DISCRETE SPACE-TIME
APPROXIMATIONS . .207 CONTENTS IX 7 A BRIEF LOOK AT THE FEEDBACK CONTROL
OF FLUIDS FLOWS 209 7.1 LINEAR FEEDBACK CONTROL OF NAVIER*STOKES FLOWS
210 7.2 FEEDBACK CONTROL OF LIFT OSCILLATIONS IN FLOW AROUND A CYLINDER
214 7.3 SUPPRESSION OF 2D TOLLMIEN-SCHLICHTING INSTABILITY THROUGH
FEEDBACK . .217 BIBLIOGRAPHY 221 INDEX 253
|
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| discipline | Physik Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik |
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| language | English |
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| spelling | Gunzburger, Max D. Verfasser aut Perspectives in flow control and optimization Max D. Gunzburger Philadelphia SIAM , Soc. for Industrial and Applied Mathematics 2003 XIV, 261 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advances in design and control Mathematik Fluid dynamics Mathematics Mathematical optimization Numerical analysis Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Strömungsmesstechnik (DE-588)4129610-2 gnd rswk-swf Strömungsmesstechnik (DE-588)4129610-2 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009920554&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gunzburger, Max D. Perspectives in flow control and optimization Mathematik Fluid dynamics Mathematics Mathematical optimization Numerical analysis Numerisches Verfahren (DE-588)4128130-5 gnd Strömungsmesstechnik (DE-588)4129610-2 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4129610-2 |
| title | Perspectives in flow control and optimization |
| title_auth | Perspectives in flow control and optimization |
| title_exact_search | Perspectives in flow control and optimization |
| title_full | Perspectives in flow control and optimization Max D. Gunzburger |
| title_fullStr | Perspectives in flow control and optimization Max D. Gunzburger |
| title_full_unstemmed | Perspectives in flow control and optimization Max D. Gunzburger |
| title_short | Perspectives in flow control and optimization |
| title_sort | perspectives in flow control and optimization |
| topic | Mathematik Fluid dynamics Mathematics Mathematical optimization Numerical analysis Numerisches Verfahren (DE-588)4128130-5 gnd Strömungsmesstechnik (DE-588)4129610-2 gnd |
| topic_facet | Mathematik Fluid dynamics Mathematics Mathematical optimization Numerical analysis Numerisches Verfahren Strömungsmesstechnik |
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