Application of finite elements for computational aeroelasticity:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Göttingen
Cuvillier
2011
|
| Ausgabe: | 1. Aufl. |
| Schriftenreihe: | Forschungsbericht / Technische Universität Braunschweig, Campus Forschungsflughafen
2011,08 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XXII, 161 S. Ill., graph. Darst. |
| ISBN: | 9783869559001 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
DANKSAGUNG IUE
OVERVIEW V
OBERSICHT VI
CONTENTS VII
LIST OF FIGURES XI
LIST OF TABLES XV
NOMENCLATURE XXII
1 INTRODUCTION 1
1.1 MOTIVATION 1
1.2 METHODOLOGY 2
1.2.1 PARTITIONED COUPLING APPROACH 3
1.2.2 FINITE-ELEMENT METHODOLOGY FOR THE FLUID FLOW 4
1.3 RESEARCH AIM 5
1.4 THESIS OUTLINE 6
1 NUMERICAL SCHEMES 7
2 A UNIFIED COUPLING APPROACH 9
2.1 SYSTEM OF REFERENCE 9
2.2 HAMILTON'S PRINCIPLE FOR CONTINUUM SYSTEMS 11
2.3 HAMILTONIAN STRUCTURAL DYNAMICS 11
2.4 HAMILTONIAN FLUID DYNAMICS 13
2.4.1 MASS CONSERVATION 13
2.4.2 HAMILTON'S CANONICAL EQUATIONS 14
2.4.3 INVISCID FLUID 15
2.4.4 VISCOUS FLUID 17
2.4.5 CONSERVATION EQUATION IN THE ALE FRAME OF REFERENCE 20
2.4.6 GEOMETRIC CONSERVATION LAW 21
2.5 A WEAK FORMULATION FOR FLUID-STRUCTURE INTERACTION 21
23.1 THREE-FIELD APPROACH 23
2.5.2 TWO-FIELD APPROACH 25
2.6 CHAPTER SUMMARY 27
VII
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1016488394
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
3 CHARACTERISTIC BASED SPLIT METHODOLOGY FOR THE FLUID FLOW 29
3.1 CHARACTERISTIC GALERKIN METHOD 29
3.2 NON-DIMENSIONAL FORM OF THE CONSERVATION EQUATIONS 30
3.3 THE CBS SCHEME 33
3.3.1 TEMPORAL DISCRETIZATION AND SPLITTING 33
3.3.2 SPATIAL DISCRETIZATION 35
3.4 ADDITIONAL COMPUTATIONAL TECHNIQUES 40
3.4.1 MATRIX FREE, EXPLICIT FORM 40
3.4.2 VARIABLE SMOOTHING 41
3.4.3 INCOMPRESSIBLE FLUID - ARTIFICIAL COMPRESSIBILITY 41
3.4.4 INVISCID FLOW PROBLEMS 42
3.4.5 LOCAL TIME STEPPING 43
3.4.6 UNSTEADY FLOW PROBLEMS 43
3.4.7 GEOMETRIC CONSERVATION LAW 44
3.5 DISCONTINUOUS GALERKIN FORM 45
3.5.1 DISCONTINUOUS GALERKIN SPATIAL DISCRETIZATION 45
3.5.2 CALCULATION OF THE EDGE FLUXES AND CONTINUOUS SOLUTION 48
3.6 CHAPTER SUMMARY 49
4 DISCRETE COUPLING SCHEME 51
4.1 REDUCTION ON THE COUPLING INTERFACE 51
4.1.1 REDUCTION ON THE COUPLING INTERFACE FOR THE STRUCTURAL SUBDOMAIN
51 4.1.2 REDUCTION ON THE COUPLING INTERFACE FOR THE FLUID SUBDOMAIN 52
4.2 FINITE ELEMENT GRID DEFORMATION 53
4.3 FINITE ELEMENT DATA TRANSFER 55
4.3.1 DATA TRANSFER SCHEMES BASED ON THE WEAK INTERFACE PROBLEM 56 4.3.2
CONSERVATIVE INTERPOLATION 56
4.3.3 GALERKIN'S METHOD 56
4.3.4 DUAL-LAGRANGE MULTIPLIER 58
4.3.5 MINIMIZING THE SOBOLEV-NORM 58
4.3.6 AUTOMATIC GENERATION OF THE INTEGRATION GRID 59
4.3.7 PATCH-TEST 60
4.3.8 EVALUATION OF THE COUPLING MATRIX USING THE ADAPTIVE REFINEMENT OF
THE INTEGRATION GRID 61
4.4 SOLUTION OF THE DISCRETE TWO-FIELD APPROACH 62
4.5 SOLUTION OF THE DISCRETE THREE-FIELD APPROACH 64
4.6 CONSISTENT TIME INTEGRATION 66
4.7 CHAPTER SUMMARY 66
II VERIFICATION AND APPLICATION 67
5 VERIFICATION OF THE CBS SCHEME 69
5.1 INVISCID FLOW PAST THE NACA0012 AIRFOIL 69
5.2 LAMINAR VISCOUS FLOW PROBLEMS 71
5.2.1 LAMINAR VISCOUS FLOW PAST THE NACA0012 AIRFOIL 71
5.2.2 UNSTEADY LAMINAR VISCOUS FLOW PAST A CYLINDER 73
5.2.3 INCOMPRESSIBLE LAMINAR FLOW PAST A BACKWARD FACING STEP 76 5.3
TURBULENT FLOW PROBLEMS 77
IMAGE 3
CONTENTS
5.3.1 TURBULENT FLOW PAST THE NACA0012 AIRFOIL 78
5.4 CHAPTER SUMMARY 81
6 ASSESSMENT OF THE COUPLING ENVIRONMENT 83
6.1 FINITE ELEMENT GRID DEFORMATION 83
6.1.1 UNSTRUCTURED GRID WITH HIGH DEFORMATION 83
6.1.2 STRUCTURED GRID WITH HIGH DEFORMATION AND RIGID BODY MOTION 88
6.2 INTERFACE DATA TRANSFER 90
6.2.1 SIMPLE MODEL PROBLEM 90
6.2.2 DATA TRANSFER FOR THE AGARD WING 445.6 92
6.2.3 A SMOOTH TRANSFER USING THE THREE-FIELD APPROACH 93
6.3 ITERATIVE SOLUTION OF AN ELASTIC-ACOUSTIC PROBLEM 95
6.4 SIMPLE STAGGERED SOLUTION OF A COMPLEX COUPLED PROBLEM - FLAPPING
AIRFOIL SIMULATION 97 6.4.1 SIMULATION SETUP 98
6.4.2 FLAPPING FLIGHT MOTION PARAMETERS 99
6.4.3 VALIDATION OF A REFERENCE TESTCASE 100
6.5 CHAPTER SUMMARY 101
7 FINITE ELEMENT FLUID-STRUCTURE INTERACTION - PANEL FLUTTER PROBLEM 103
7.1 PROBLEM DESCRIPTION 103
7.1.1 STRUCTURAL MODEL OF THE PANEL 103
7.1.2 AEROELASTIC PARAMETERS OF THE PANEL FLUTTER PROBLEM 104
7.2 TRANSONIC PANEL FLUTTER - METHODOLOGY ASSESSMENT 105
7.2.1 INFLUENCE OF THE TRANSFER SCHEME 105
7.2.2 INFLUENCE OF THE TIME INTEGRATION SCHEME 109
7.2.3 COMPARISON OF THE TWO- AND THREE-FIELD COUPLING APPROACH I LL
7.2.4 COMPARISON OF THE CBS AND THE DG-CBS SCHEME 112
7.2.5 CHOICE OF SCHEMES FOR UPCOMING SIMULATIONS 115
7.3 PANEL BEHAVIOR AT SUBSONIC FLOW 115
7.4 PANEL BEHAVIOR AT SUPERSONIC FLOW 118
7.5 PANEL FLUTTER STABILITY CHART 124
7.6 INFLUENCE OF TURBULENCE 126
7.7 CHAPTER SUMMARY 130
8 SUMMARY AND CONCLUSION 133
BIBLIOGRAPHY 135
A APPENDIX 147
A.I MATHEMATICAL EXPRESSIONS 147
A.2 TURBULENCE MODELING WITH THE CBS SCHEME IN THE ALE FRAME OF
REFERENCE . . . 148 A.2.1 FAVRE AND REYNOLDS AVERAGING OF THE GOVERNING
EQUATIONS 148
A.2.2 EDDY-VISCOSITY HYPOTHESIS 149
A.2.3 TURBULENT CBS SCHEME 150
A.2.4 DETERMINATION OF THE EDDY VISCOSITY 151
A.3 ADDITIONAL PANEL FLUTTER RESULTS 157
CURRICULUM VITAE 163 |
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| author | Unger, Ralf |
| author_facet | Unger, Ralf |
| author_role | aut |
| author_sort | Unger, Ralf |
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| ctrlnum | (OCoLC)811270205 (DE-599)DNB1016488394 |
| dewey-full | 629.1323620151825 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
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| dewey-search | 629.1323620151825 |
| dewey-sort | 3629.1323620151825 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Verkehr / Transport |
| edition | 1. Aufl. |
| format | Thesis Book |
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| spelling | Unger, Ralf Verfasser aut Application of finite elements for computational aeroelasticity Ralf Unger 1. Aufl. Göttingen Cuvillier 2011 XXII, 161 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Forschungsbericht / Technische Universität Braunschweig, Campus Forschungsflughafen 2011,08 Zugl.: Braunschweig, Techn. Univ., Diss., 2011 Fluid-Struktur-Wechselwirkung (DE-588)4314754-9 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Aeroelastizität (DE-588)4202469-9 gnd rswk-swf Flattern Technik (DE-588)4204298-7 gnd rswk-swf Transsonische Strömung (DE-588)4135633-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Flattern Technik (DE-588)4204298-7 s Aeroelastizität (DE-588)4202469-9 s Transsonische Strömung (DE-588)4135633-0 s Fluid-Struktur-Wechselwirkung (DE-588)4314754-9 s Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 Technische Universität Braunschweig, Campus Forschungsflughafen Forschungsbericht 2011,08 (DE-604)BV036694007 2011,08 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3901439&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025351964&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Unger, Ralf Application of finite elements for computational aeroelasticity Fluid-Struktur-Wechselwirkung (DE-588)4314754-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Aeroelastizität (DE-588)4202469-9 gnd Flattern Technik (DE-588)4204298-7 gnd Transsonische Strömung (DE-588)4135633-0 gnd |
| subject_GND | (DE-588)4314754-9 (DE-588)4017233-8 (DE-588)4202469-9 (DE-588)4204298-7 (DE-588)4135633-0 (DE-588)4113937-9 |
| title | Application of finite elements for computational aeroelasticity |
| title_auth | Application of finite elements for computational aeroelasticity |
| title_exact_search | Application of finite elements for computational aeroelasticity |
| title_full | Application of finite elements for computational aeroelasticity Ralf Unger |
| title_fullStr | Application of finite elements for computational aeroelasticity Ralf Unger |
| title_full_unstemmed | Application of finite elements for computational aeroelasticity Ralf Unger |
| title_short | Application of finite elements for computational aeroelasticity |
| title_sort | application of finite elements for computational aeroelasticity |
| topic | Fluid-Struktur-Wechselwirkung (DE-588)4314754-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Aeroelastizität (DE-588)4202469-9 gnd Flattern Technik (DE-588)4204298-7 gnd Transsonische Strömung (DE-588)4135633-0 gnd |
| topic_facet | Fluid-Struktur-Wechselwirkung Finite-Elemente-Methode Aeroelastizität Flattern Technik Transsonische Strömung Hochschulschrift |
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