Large-scale PDE-constrained optimization in applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
2010
|
| Schriftenreihe: | Lecture notes in applied and computational mechanics
49 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XXII, 201 S. graph. Darst. 24 cm |
| ISBN: | 9783642015014 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS 1 INTRODUCTION 1 2 PARTIAL DIFFERENTIAL EQUATIONS IN
MATHEMATICAL MODELING OF FLUID FLOW PROBLEMS 5 2.1 INTRODUCTION 5 2.1.1
THE NAVIER-STOKES EQUATIONS FOR COMPRESSIBLE VISCOUS FLOW 12 2.1.2 THE
EULER EQUATIONS FOR COMPRESSIBLE INVISCID FLOW 12 2.1.3 VECTOR FORM OF
THE NAVIER-STOKES EQUATIONS FOR COMPRESSIBLE VISCOUS HOW 13 2.2
NON-DIMENSIONALIZATION 14 2.3 TURBULENCE AND ITS MODELING 14 2.3.1
TURBULENT AVERAGED QUANTITIES 15 2.3.2 THE REYNOLDS AVERAGED
NAVIER-STOKES EQUATIONS 16 2.4 ANALYTIC ASPECTS OF THE PDES 17 3
PDE-CONSTRAINED OPTIMIZATION METHODS 19 3.1 UNCONSTRAINED OPTIMIZATION
PROBLEM 19 3.2 CONSTRAINED OPTIMIZATION PROBLEM 21 3.2.1 NESTED ANALYSIS
AND DESIGN (NAND) 21 3.2.2 SIMULTANEOUS ANALYSIS AND DESIGN (SAND) 24
3.2.3 FULL NEWTON SAND 24 PART I: APPLICATIONS IN ENVIRONMENTAL
ENGINEERING 4 MATHEMATICAL MODEL OF MULTIPHASE FLOW THROUGH POROUS MEDIA
... 29 4.1 INTRODUCTION 29 4.2 GENERAL FORM OF THE MULTIPHASE HOW
EQUATIONS 30 4.2.1 ISOTHERMAL WATER-GAS SYSTEM (TWO-PHASE FLOW) 31
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/996813306 DIGITALISIERT
DURCH X CONTENTS 4.2.2 NONISOTHERMAL WATER-GAS SYSTEMS (TWO-PHASE
TWO-COMPONENT FLOW) 32 4.2.3 CONSTITUTIVE RELATIONSHIPS 34 4.3 THE
FORWARD SIMULATION PROBLEM 36 4.3.1 GOVERNING EQUATIONS 36 4.4
DISCRETIZATION 38 4.4.1 IMPLICIT TIME DISCRETIZATION 40 4.5 THE SOFTWARE
SYSTEM MUFTE-UG 41 5 PARAMETER IDENTIFICATION IN MULTIPHASE FLOW THROUGH
POROUS MEDIA 43 5.1 INTRODUCTION 43 5.2 LEAST-SQUARES FORMULATION 44 5.3
THE MULTIPLE SHOOTING PARAMETER ESTIMATION APPROACH 44 5.4 A REDUCED
GENERALIZED GAUSS-NEWTON METHOD 45 5.5 COMPUTATION OF (INEXACT)
DERIVATIVES 47 5.6 NUMERICAL RESULTS AND DISCUSSION 50 5.6.1 ISOTHERMAL
CASE (TWO-PHASE FLOW) 50 5.6.2 NON-ISOTHERMAL CASE (TWO-PHASE
TWO-COMPONENT HOW) 52 5.7 CONCLUSIONS 61 PART II: APPLICATIONS IN
AERODYNAMICS 6 SIMULTANEOUS PSEUDO-TIME-STEPPING FOR PDE-MODEL BASED
OPTIMIZATION PROBLEMS 65 6.1 INTRODUCTION 65 6.2 THE OPTIMIZATION
PROBLEM AND PSEUDO-UNSTEADY FORMULATION OF THE KKT CONDITIONS 67 6.3
REDUCED SQP METHODS 69 6.4 PSEUDO-TIME-STEPPING FOR OPTIMIZATION
PROBLEMS 71 6.5 APPLICATION TO A MODEL PROBLEM 72 6.6 ANALYSIS OF THE
HESSIAN 73 6.7 NUMERICAL IMPLEMENTATION 75 6.8 RESULTS AND DISCUSSION 76
6.9 CONCLUSIONS 80 7 AERODYNAMIC SHAPE OPTIMIZATION USING SIMULTANEOUS
PSEUDO-TIME-STEPPING 8 CONTENTS XI 7.6.1 DRAG REDUCTION WITH GEOMETRIC
CONSTRAINT FOR AN RAE2822 AIRFOIL 95 7.6.2 DRAG REDUCTION WITH GEOMETRIC
CONSTRAINTS FOR SUPERSONIC CRUISE TRANSPORT (SCT) WING 102 7.7
CONCLUSIONS 104 8 INDIRECT TREATMENT OF STATE CONSTRAINTS IN AERODYNAMIC
SHAPE OPTIMIZATION USING SIMULTANEOUS PSEUDO-TIME-STEPPING 105 8.1
INTRODUCTION 105 8.2 PSEUDO-TIME-STEPPING FOR THE CONSTRAINED
OPTIMIZATION PROBLEM 105 8.3 NUMERICAL RESULTS AND DISCUSSION 109 8.4
CONCLUSIONS 116 9 DIRECT TREATMENT OF STATE CONSTRAINTS IN AERODYNAMIC
SHAPE OPTIMIZATION USING SIMULTANEOUS PSEUDO-TIME-STEPPING 117 9.1
INTRODUCTION 117 9.2 SCALAR STATE CONSTRAINTS 118 9.2.1 PARTIAL
REDUCTION OF THE PROBLEM 119 9.2.2 SOLUTION STRATEGY OF THE CONSTRAINED
PROBLEM 120 9.2.3 BACK PROJECTION 121 9.3 NUMERICAL RESULTS AND
DISCUSSION 122 9.3.1 APPLICATIONS IN 2D 123 9.3.2 APPLICATION IN 3D 127
9.4 CONCLUSIONS 132 10 MULTIGRID ONE-SHOT PSEUDO-TIME-STEPPING METHOD
FOR AERODYNAMIC SHAPE OPTIMIZATION 135 10.1 INTRODUCTION 135 10.2 THE
MULTIGRID ALGORITHM 136 10.3 NUMERICAL RESULTS AND DISCUSSION 137 10.3.1
DRAG REDUCTION WITH CONSTANT THICKNESS FOR RAE2822 AIRFOIL 137 10.3.2
DRAG REDUCTION WITH GEOMETRIC CONSTRAINTS FOR SCT WING 147 10.4
CONCLUSIONS 152 1 XII CONTENTS 12 ONE-SHOT PSEUDO-TIME-STEPPING METHOD
FOR AERODYNAMIC SHAPE OPTIMIZATION USING THE NAVIER-STOKES EQUATIONS 175
12.1 INTRODUCTION 175 12.2 DETAILED EQUATIONS OF THE AERODYNAMIC SHAPE
OPTIMIZATION PROBLEM 176 12.3 NUMERICAL RESULTS AND DISCUSSION 183 12.4
CONCLUSIONS 188 REFERENCES 189 INDEX 199
|
| any_adam_object | 1 |
| author | Hazra, Subhendu Bikash |
| author_facet | Hazra, Subhendu Bikash |
| author_role | aut |
| author_sort | Hazra, Subhendu Bikash |
| author_variant | s b h sb sbh |
| building | Verbundindex |
| bvnumber | BV036592870 |
| ctrlnum | (OCoLC)699537837 (DE-599)DNB996813306 |
| dewey-full | 620.1074 519.6 620.1064 |
| dewey-hundreds | 600 - Technology (Applied sciences) 500 - Natural sciences and mathematics |
| dewey-ones | 620 - Engineering and allied operations 519 - Probabilities and applied mathematics |
| dewey-raw | 620.1074 519.6 620.1064 |
| dewey-search | 620.1074 519.6 620.1064 |
| dewey-sort | 3620.1074 |
| dewey-tens | 620 - Engineering and allied operations 510 - Mathematics |
| discipline | Maschinenbau / Maschinenwesen Mathematik |
| format | Book |
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| id | DE-604.BV036592870 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:43:44Z |
| institution | BVB |
| isbn | 9783642015014 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020513543 |
| oclc_num | 699537837 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | XXII, 201 S. graph. Darst. 24 cm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in applied and computational mechanics |
| series2 | Lecture notes in applied and computational mechanics |
| spelling | Hazra, Subhendu Bikash Verfasser aut Large-scale PDE-constrained optimization in applications Subhendu Bikash Hazra Berlin ; Heidelberg Springer 2010 XXII, 201 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes in applied and computational mechanics 49 Literaturangaben Aerodynamik (DE-588)4000589-6 gnd rswk-swf Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Numerisches Modell (DE-588)4338132-7 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Mehrphasenströmung (DE-588)4169315-2 gnd rswk-swf Umwelttechnik (DE-588)4061650-2 gnd rswk-swf Gestaltoptimierung (DE-588)4329076-0 gnd rswk-swf Umwelttechnik (DE-588)4061650-2 s Poröser Stoff (DE-588)4046811-2 s Mehrphasenströmung (DE-588)4169315-2 s Optimierung (DE-588)4043664-0 s Numerisches Modell (DE-588)4338132-7 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Aerodynamik (DE-588)4000589-6 s Gestaltoptimierung (DE-588)4329076-0 s Lecture notes in applied and computational mechanics 49 (DE-604)BV017110729 49 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020513543&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hazra, Subhendu Bikash Large-scale PDE-constrained optimization in applications Lecture notes in applied and computational mechanics Aerodynamik (DE-588)4000589-6 gnd Poröser Stoff (DE-588)4046811-2 gnd Numerisches Modell (DE-588)4338132-7 gnd Optimierung (DE-588)4043664-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Mehrphasenströmung (DE-588)4169315-2 gnd Umwelttechnik (DE-588)4061650-2 gnd Gestaltoptimierung (DE-588)4329076-0 gnd |
| subject_GND | (DE-588)4000589-6 (DE-588)4046811-2 (DE-588)4338132-7 (DE-588)4043664-0 (DE-588)4044779-0 (DE-588)4169315-2 (DE-588)4061650-2 (DE-588)4329076-0 |
| title | Large-scale PDE-constrained optimization in applications |
| title_auth | Large-scale PDE-constrained optimization in applications |
| title_exact_search | Large-scale PDE-constrained optimization in applications |
| title_full | Large-scale PDE-constrained optimization in applications Subhendu Bikash Hazra |
| title_fullStr | Large-scale PDE-constrained optimization in applications Subhendu Bikash Hazra |
| title_full_unstemmed | Large-scale PDE-constrained optimization in applications Subhendu Bikash Hazra |
| title_short | Large-scale PDE-constrained optimization in applications |
| title_sort | large scale pde constrained optimization in applications |
| topic | Aerodynamik (DE-588)4000589-6 gnd Poröser Stoff (DE-588)4046811-2 gnd Numerisches Modell (DE-588)4338132-7 gnd Optimierung (DE-588)4043664-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Mehrphasenströmung (DE-588)4169315-2 gnd Umwelttechnik (DE-588)4061650-2 gnd Gestaltoptimierung (DE-588)4329076-0 gnd |
| topic_facet | Aerodynamik Poröser Stoff Numerisches Modell Optimierung Partielle Differentialgleichung Mehrphasenströmung Umwelttechnik Gestaltoptimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020513543&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV017110729 |
| work_keys_str_mv | AT hazrasubhendubikash largescalepdeconstrainedoptimizationinapplications |