Modeling and simulation of turbulent combustion in type Ia supernovae:
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| Format: | Book |
| Language: | English |
| Published: |
2001
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | München, Techn. Univ., Diss., 2001 |
| Physical Description: | 110 S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a Modeling and simulation of turbulent combustion in type Ia supernovae |c Martin Reinecke |
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| adam_text |
CONTENTS
V
1 INTRODUCTION AND MOTIVATION 4
1.1 HISTORY OF SUPERNOVA OBSERVATIONS AND THEORY. 4
1.2 CHARACTERISTICS AND CLASSIFICATION OF SUPEMOVAE. 6
1.2.1 SUPERNOVA SUBTYPES. 6
1.2.2 CHARACTERISTICS OF CORE-COLLAPSE SUPEMOVAE. 7
1.2.3 PROPERTIES OF TYPE LA SN. 8
1.3 MODELS FOR TYPE LA SUPEMOVAE.-. 10
1.3.1 PROGENITOR SCENARIOS.T. 10
1.3.2 MODELS FOR THE EXPLOSION DYNAMICS IN MO, SCENARIOS. 13
1.3.3 THE CURRENT STATE OF SN LA SIMULATIONS. 15
1.4 INFLUENCE OF SN LA ON OTHER SCIENTIFIC AREAS. 16
1.5 GOALS OF THIS WORK. 18
1 PHYSICAL AND NUMERICAL BACKGROUND 21
2 GOVERNING EQUATIONS 23
2.1 HYDRODYNAMICS. 23
2.1.1 BASIC EQUATIONS. 23
2.1.2 SOURCE TERMS . 25
2.1.3 REAL FLUIDS . . 25
2.2 COMBUSTION THEORY. 27
2.2.1 LAMINAR FLAMES. 27
2.2.2 JUMP CONDITIONS FOR THIN FLAMES. 28
2.3 HYDRODYNAMICAL STABILITY AND TURBULENCE. 30
2.3.1 RELEVANT TYPES OF INSTABILITY. 31
2.3.2 PROPERTIES OF TURBULENT FLOW. 32
2.4 TURBULENT COMBUSTION. 34
2.4.1 INSTABILITIES OF BURNING FRONTS. 35
2.4.2 TURBULENT BURNING REGIMES. 35
2.4.3 SCALE DEPENDENCE OF THE TURBULENT FLAME SPEED IN SN LA. 37
3 MODELS AND NUMERICAL SCHEMES 39
3.1 TREATMENT OF THE HYDRODYNAMIC EQUATIONS. 39
1
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/962753289
CONTENTS
3.1.1 TREATMENT OF REAL GASES. 40
3.1.2 TIME STEP DETERMINATION. 40
3.1.3 NUMERICAL VISCOSITY . 41
3.2 THERMODYNAMICAL PROPERTIES OF WHITE DWARF MATTER. 42
3.3 ENERGY SOURCE TERMS . 44
3.4 GRAVITATIONAL POTENTIAL . 45
3.5 TURBULENT FLAME PROPAGATION SPEED. 47
3.5.1 THE BURNING RATE LAW. 47
3.5.2 VELOCITY FLUCTUATIONS ON THE GRID SCALE. 48
3.6 TRACER PARTICLES. 50
4 THE LEVEL SET METHOD 51
4.1 IMPLICIT DESCRIPTION OF PROPAGATING INTERFACES. 52
4.1.1 THE G-EQUATION. 53
4.1.2 TEMPORAL EVOLUTION. 53
4.1.3 RE-INITIALIZATION . 55
4.1.4 COMPLETE FLAME/FLOW-COUPLING. 57
4.2 IMPLEMENTATION DETAILS. 58
4.2.1 LEVEL SET PROPAGATION. 58
4.2.2 RE-INITIALIZATION . 60
4.2.3 ENERGY GENERATION . 61
II
SIMULATIONS OF TYPE LA SUPERNOVAE 63
5 SIMULATION SETUP 65
5.1 SUMMARY OF THE EMPLOYED MODELS. 65
5.2 WHITE DWARF MODEL. 65
5.3 GRID GEOMETRY. 67
5.4 HYDROSTATIC STABILITY. 68
5.5 TRACER PARTICLE DISTRIBUTION. 70
6 PARAMETER STUDIES IN TWO DIMENSIONS 71
6.1 INFLUENCE OF THE INITIAL FLAME LOCATION. 71
6.1.1 CHOICE OF INITIAL CONDITIONS. 71
6.1.2 EXPLOSION CHARACTERISTICS. 73
6.2 SENSITIVITY TO THE NUMERICAL RESOLUTION. 78
6.3 INFLUENCE OF NUMERICAL VISCOSITY. 81
7 THREE-DIMENSIONAL SIMULATIONS 83
7.1 AXISYMMETRIC INITIAL CONDITIONS . 83
7.2 MULTIPOINT IGNITION SCENARIOS. 86
8 DISCUSSION AND CONCLUSIONS 91
2
CONTENTS
8.1 OVERALL ANALYSIS OF THE RESULTS. 91
8.1.1 ENERGY RELEASE AND NUCLEOSYNTHESIS. 91
8.1.2 STRUCTURE OF THE REMNANT. 92
8.1.3
A
POSTERIORI EVALUATION OF THE ENERGY CONSERVATION . 94
8.2 COMPARISON TO OTHER SIMULATIONS. 95
8.3 POSSIBLE FUTURE DIRECTIONS. 97
8.4 CONCLUDING REMARKS. 98
A DESIGN OF THE SIMULATION CODE
V 101
B NOMENCLATURE 103
BIBLIOGRAPHY 105
3 |
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| indexdate | 2024-10-09T18:06:55Z |
| institution | BVB |
| language | English |
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| spelling | Reinecke, Martin Verfasser aut Modeling and simulation of turbulent combustion in type Ia supernovae Martin Reinecke 2001 110 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2001 Supernova (DE-588)4184117-7 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Kernfusion (DE-588)4030323-8 gnd rswk-swf Numerisches Modell (DE-588)4338132-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Supernova (DE-588)4184117-7 s Kernfusion (DE-588)4030323-8 s Turbulente Strömung (DE-588)4117265-6 s Numerisches Modell (DE-588)4338132-7 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009507758&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Reinecke, Martin Modeling and simulation of turbulent combustion in type Ia supernovae Supernova (DE-588)4184117-7 gnd Turbulente Strömung (DE-588)4117265-6 gnd Kernfusion (DE-588)4030323-8 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| subject_GND | (DE-588)4184117-7 (DE-588)4117265-6 (DE-588)4030323-8 (DE-588)4338132-7 (DE-588)4113937-9 |
| title | Modeling and simulation of turbulent combustion in type Ia supernovae |
| title_auth | Modeling and simulation of turbulent combustion in type Ia supernovae |
| title_exact_search | Modeling and simulation of turbulent combustion in type Ia supernovae |
| title_full | Modeling and simulation of turbulent combustion in type Ia supernovae Martin Reinecke |
| title_fullStr | Modeling and simulation of turbulent combustion in type Ia supernovae Martin Reinecke |
| title_full_unstemmed | Modeling and simulation of turbulent combustion in type Ia supernovae Martin Reinecke |
| title_short | Modeling and simulation of turbulent combustion in type Ia supernovae |
| title_sort | modeling and simulation of turbulent combustion in type ia supernovae |
| topic | Supernova (DE-588)4184117-7 gnd Turbulente Strömung (DE-588)4117265-6 gnd Kernfusion (DE-588)4030323-8 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| topic_facet | Supernova Turbulente Strömung Kernfusion Numerisches Modell Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009507758&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT reineckemartin modelingandsimulationofturbulentcombustionintypeiasupernovae |