Code verification of partitioned FSI environments for lightweight structures:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
München
Techn. Univ. München, Lehrstuhl für Statik
2014
|
| Series: | Schriftenreihe des Lehrstuhls für Statik
23 |
| Subjects: | |
| Online Access: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20141115-1222442-0-1 Inhaltsverzeichnis |
| Physical Description: | X, 151 S. graph. Darst. |
| ISBN: | 9783943683271 |
Staff View
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| 245 | 1 | 0 | |a Code verification of partitioned FSI environments for lightweight structures |c Rupert Johannes Fisch |
| 264 | 1 | |a München |b Techn. Univ. München, Lehrstuhl für Statik |c 2014 | |
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Record in the Search Index
| _version_ | 1804152740967874560 |
|---|---|
| adam_text | CONTENTS
1 INTRODUCTION 1
1.1 GENERAL 1
1.2 TARGET OF THIS WORK 2
1.3 RESTRICTIONS FOR THE APPLICATION 3
1.4 REQUIREMENTS 4
1.4.1 COUPLING INTERFACE 4
1.4.2 COMPUTATIONAL STRUCTURAL DYNAMICS 4
1.4.3 COMPUTATIONAL FLUID DYNAMICS 4
1.5 THE PARTITIONED FSI ENVIRONMENT 4
1.6 ORGANIZATION OF THE THESIS 5
2 THE ROLE OF CODE VERIFICATION 7
2.1 PLACEMENT IN THE FRAME OF PREDICTIVE CAPABILITY OF SOFTWARE .... 7
2.2 UNCERTAINTY AND ERROR 7
2.3 VERIFICATION & VALIDATION 8
2.3.1 SOLUTION VERIFICATION 9
2.3.2 CODE VERIFICATION 10
2.3.3 THE METHOD OF MANUFACTURED SOLUTIONS 11
2.3.3.1 IDEA OF THE MMS 12
2.3.3.2 REQUIREMENTS TO THE MANUFACTURED SOLUTION ... 12
2.3.3.3 GENERAL PROCEDURE OF THE MMS 12
2.3.3.4 INITIAL AND BOUNDARY CONDITIONS 14
2.3.3.5 ASSESSMENT OF STEADY STATE SIMULATIONS IS
2.3.3.6 ASSESSMENT OF UNSTEADY SIMULATIONS IS
2.3.3.7 EVALUATION OF THE GLOBAL ERROR 16
2.3.3.8 LIMITATIONS OF THE MMS 17
2.3.4 FORMAL ORDER OF ACCURACY 17
2.3.5 SHORT EXAMPLE 18
2.4 ASSESSMENT OF A LINEAR ERROR ESTIMATOR 21
2.4.1 LINEAR ERROR ESTIMATOR 21
VI
HTTP://D-NB.INFO/1065094019
CONTENTS
2.4.2 APPLICATION 22
2.5 SETUP OF ITERATIVE SOLVER TOLERANCES 22
3 STRUCTURAL DYNAMICS 25
3.1 GENERAL ASSUMPTIONS 25
3.2 EQUILIBRIUM 26
3.3 KINEMATICS 27
3.4 CONSTITUTIVE EQUATIONS 27
3.5 STRESS 28
3.6 DISCRETIZATION 29
3.6.1 SPATIAL DISCRETIZATION 29
3.6.2 TIME DISCRETIZATION 30
3.7 FORMAL ORDER OF ACCURACY 31
3.7.1 TAYLOR SERIES EXPANSION OF D 31
3.7.2 SPATIAL DISCRETIZATION 32
3.7.2.1 SHAPE FUNCTIONS 32
3.7.2.2 GEOMETRIC APPROXIMATION 33
3.7.2.3 SPATIAL INTEGRATION 33
3.7.3 TEMPORAL DISCRETIZATION 34
3.7.4 RESULTING FORMAL ORDER OF ACCURACY 34
3.8 APPLICATION OF THE MMS 34
3.8.1 EQUILIBRIUM FORCES 34
3.8.2 BOUNDARY AND INITIAL CONDITIONS 35
3.8.3 FRAMEWORK 35
3.8.3.1 MAPLE 36
3.8.3.2 MMSCLIENT 37
3.8.3.3 EMPEROR 37
3.8.3.4 MATLAB 37
3.8.4 PROCEDURE 37
3.8.5 SPATIAL AND TIME RESOLUTIONS 38
3.8.6 SOLUTION ACCURACY 40
3.8.7 ERROR MAP 40
3.8.8 BENCHMARKS 41
3.8.8.1 BENCHMARK 1: PLANE MEMBRANE, IN-PLANE DE
FORMATION, STEADY STATE 42
3.8.8.2 BENCHMARK 2: PLANE MEMBRANE, OUT-OF-PLANE
DEFORMATION, STEADY STATE 43
3.8.8.3 BENCHMARK 3: PLANE MEMBRANE, OUT-OF-PLANE
DEFORMATION, UNSTEADY 44
3.8.8.4 BENCHMARK 4: CURVED MEMBRANE, OUT-OF-PLANE
DEFORMATION, UNSTEADY 46
3.8.9 STATEMENT AND RESULTS FOR THE USED CSD ENVIRONMENT ... 48
3.9 ADAPTATION OF THE CSD FRAMEWORK 49
3.9.1 ADAPTATION OF THE PDE FORMULATION 49
3.9.2 ADAPTATION OF THE CONSTITUTIVE EQUATIONS 49
3.9.3 ADAPTATIONS FOR A SOLID ELEMENT 50
4 FLUID DYNAMICS 51
VII
CONTENTS
4.1 GENERAL ASSUMPTIONS 51
4.2 EQUILIBRIUM 52
4.3 INCOMPRESSIBLE FLUIDS 53
4.4 CONSERVATION OF MASS 53
4.5 CONSERVATION OF MOMENTUM 53
4.6 CONSTITUTIVE EQUATIONS 54
4.7 INCOMPRESSIBLE NAVIER-STOKES EQUATIONS 54
4.8 TURBULENCE 54
4.8.1 TURBULENCE MODELING USING THE
K * E
MODEL 55
4.9 DISCRETIZATION 56
4.9.1 SPATIAL DISCRETIZATION 56
4.9.1.1 APPROXIMATION OF THE DIFFUSIVE TERM 58
4.9.1.2 APPROXIMATION OF THE CONVECTIVE TERM 59
4.9.2 TIME DISCRETIZATION 59
4.9.3 GRID MOTION 60
4.10 SOLUTION PROCESS 60
4.10.1 BOUNDARY CONDITIONS 60
4.10.2 INTERIOR EQUATIONS 61
4.11 FORMAL ORDER OF ACCURACY 61
4.11.1 TAYLOR SERIES EXPANSION OF
J
61
4.11.2 SPATIAL DISCRETIZATION 62
4.11.3 TIME DISCRETIZATION 63
4.11.4 RESULTING FORMAL ORDER OF CONVERGENCE 64
4.12 APPLICATION OF THE MMS 64
4.12.1 EQUILIBRIUM SOURCE TERMS 64
4.12.2 BOUNDARY AND INITIAL CONDITIONS 65
4.12.3 FRAMEWORK 66
4.12.3.1 MAPLE 66
4.12.3.2 OPENFOAM 66
4.12.3.3 MATLAB 67
4.12.4 PROCEDURE 67
4.12.5 SPATIAL AND TIME RESOLUTIONS 68
4.12.6 SOLUTION ACCURACY 69
4.12.7 ERROR MAP 69
4.12.8 BENCHMARKS 70
4.12.9 SOURCE TERM APPLICATION 71
4.12.10 LAMINAR NAVIER-STOKES EQUATIONS 72
4.12.10.1 BENCHMARK 1: TIME ASSESSMENT 72
4.12.10.2 BENCHMARK 2: SPATIAL ASSESSMENT 73
4.12.10.3 BENCHMARK 3: SPATIAL AND TIME ASSESSMENT ... 74
4.12.10.4 CONCLUSION 75
4.12.11 TURBULENT NAVIER-STOKES EQUATIONS 75
4.12.11.1 BENCHMARK 4: STEADY STATE 76
4.12.11.2 BENCHMARK 5: UNSTEADY 76
4.12.11.3 CONCLUSION 77
4.12.12 GRID MOTION 77
4.12.12.1 BENCHMARK 6: LINEAR GRID MOTION 78
4.12.12.2 BENCHMARK 7: NONLINEAR RECTANGULAR GRID MOTION 79
VIII
CONTENTS
4.12.12.3 BENCHMARK 8: NONLINEAR SKEW GRID MOTION . . 79
4.12.12.4 CONCLUSION 80
4.12.13 NAVIER-STOKES EQUATIONS WITH GRID MOTION 80
4.12.13.1 BENCHMARK 9 80
4.12.13.2 CONCLUSION 81
4.12.14 STATEMENT AND RESULTS FOR THE USED CFD ENVIRONMENT ... 81
4.13 ADAPTATION OF THE CFD FRAMEWORK 82
4.13.1 ADAPTATION OF THE TURBULENCE MODEL 82
4.13.2 ADAPTATION OF THE DISCRETIZATION METHOD 83
4.14 RESULTS 83
5 COUPLING AND FSI 95
5.1 FSI OVERVIEW 95
5.2 TARGET APPLICATION 96
5.3 RESTRICTIONS FOR THE APPLICATION 96
5.4 REQUIREMENTS TO THE COUPLING INTERFACE 96
5.5 EQUILIBRIUM AND COMPATIBILITY 97
5.5.1 GEOMETRY 97
5.5.2 SINGLE FIELD EQUILIBRIA 97
5.5.3 COUPLING CONDITIONS 98
5.6 DISCRETIZATION 100
5.6.1 SPATIAL DISCRETIZATION 100
5.6.2 TIME ADVANCEMENT 101
5.7 FORMAL ORDER OF ACCURACY 101
5.7.1 SPATIAL APPROXIMATION AT THE INTERFACE 103
5.7.2 TIME ADVANCEMENT OF THE FSI PROCESS 103
5.8 APPLICATION OF THE MMS 104
5.8.1 EQUILIBRIUM SOURCE TERMS 104
5.8.2 FRAMEWORK 105
5.8.2.1 MAPLE 106
5.8.2.2, MMSFSICLIENT 107
5.8.2.3 EMPEROR 107
5.8.2.4 MATLAB 107
5.8.3 PROCEDURE 108
5.8.4 SPATIAL AND TIME RESOLUTIONS 109
5.8.5 SOLUTION ACCURACY 110
5.8.6 ERROR MAP 110
5.8.7 BENCHMARKS ILL
5.8.8 BENCHMARK 1: SAMPLING AND MAPPING OPERATIONS ILL
5.8.8.1 MATCHING GRIDS 113
5.8.8.2 NON-MATCHING GRIDS WITH ONE VERY FINE GRID . . 113
5.8.8.3 NON-MATCHING GRIDS WITH A SIMILAR GRID RESO
LUTION 113
5.8.8.4 STATEMENT AND RESULTS 113
5.8.9 BENCHMARK 2: THE WAY TO FSI 114
5.8.9.1 BENCHMARK 2: NON-COUPLED FIELDS 115
5.8.9.2 BENCHMARK 2: COUPLED DISPLACEMENT FIELD ... 116
5.8.9.3 BENCHMARK 2: FULLY COUPLED 116
IX
CONTENTS
5.8.9.4 BENCHMARK 2: FULLY COUPLED NON-MATCHING GRIDS
1 (NMG1) 117
5.8.9.5 BENCHMARK 2: FULLY COUPLED NON-MATCHING GRIDS
2 (NMG2) 117
5.8.9.6 BENCHMARK 2: FULLY COUPLED NON-MATCHING GRIDS
3 (NMG3) 117
5.8.9.7 STATEMENT AND RESULTS 117
5.8.10 BENCHMARK 3: FSI 3D 117
5.8.11 STATEMENT AND RESULTS FOR THE USED FSI ENVIRONMENT. ... 119
5.9 ADAPTATION OF THE FSI FRAMEWORK 121
5.9.1 ADAPTATION FOR MONOLITHIC FSI 122
5.9.2 ADAPTATION OF THE MAPPING SCHEMES 122
5.9.3 ADAPTATION OF THE TIME ADVANCEMENT 122
5.9.4 CREATING FORCE-FREE BENCHMARKS AT THE INTERFACE 122
5.10 RESULTS 123 *
6 CONCLUSION AND OUTLOOK 135
6.1 CONCLUSION 135
6.2 OUTLOOK 136
LIST OF FIGURES 137
LIST OF TABLES 141
BIBLIOGRAPHY 143
X
|
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| spelling | Fisch, Rupert 1983- Verfasser (DE-588)1064587437 aut Code verification of partitioned FSI environments for lightweight structures Rupert Johannes Fisch München Techn. Univ. München, Lehrstuhl für Statik 2014 X, 151 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Schriftenreihe des Lehrstuhls für Statik 23 Zugl.: München, Techn. Univ., Diss., 2014 Mit einer Zssfassung in dt. Sprache (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:91-diss-20141115-1222442-0-1 Schriftenreihe des Lehrstuhls für Statik 23 (DE-604)BV035420927 23 https://mediatum.ub.tum.de/node?id=1222442 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20141115-1222442-0-1 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027654791&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fisch, Rupert 1983- Code verification of partitioned FSI environments for lightweight structures Schriftenreihe des Lehrstuhls für Statik |
| subject_GND | (DE-588)4113937-9 |
| title | Code verification of partitioned FSI environments for lightweight structures |
| title_auth | Code verification of partitioned FSI environments for lightweight structures |
| title_exact_search | Code verification of partitioned FSI environments for lightweight structures |
| title_full | Code verification of partitioned FSI environments for lightweight structures Rupert Johannes Fisch |
| title_fullStr | Code verification of partitioned FSI environments for lightweight structures Rupert Johannes Fisch |
| title_full_unstemmed | Code verification of partitioned FSI environments for lightweight structures Rupert Johannes Fisch |
| title_short | Code verification of partitioned FSI environments for lightweight structures |
| title_sort | code verification of partitioned fsi environments for lightweight structures |
| topic_facet | Hochschulschrift |
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