On the stability of thermonuclear flames in type Ia supernova explosions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2003
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | München, Techn. Univ., Diss., 2003 |
| Beschreibung: | VII, 155 S. Ill., graph. Darst. |
Internformat
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| 100 | 1 | |a Röpke, Friedrich |d 1974- |e Verfasser |0 (DE-588)128587024 |4 aut | |
| 245 | 1 | 0 | |a On the stability of thermonuclear flames in type Ia supernova explosions |c Friedrich Konrad Röpke |
| 264 | 1 | |c 2003 | |
| 300 | |a VII, 155 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a München, Techn. Univ., Diss., 2003 | ||
| 650 | 0 | 7 | |a Supernova |0 (DE-588)4184117-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Turbulente Strömung |0 (DE-588)4117265-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kernfusion |0 (DE-588)4030323-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerisches Modell |0 (DE-588)4338132-7 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
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| 689 | 0 | 3 | |a Numerisches Modell |0 (DE-588)4338132-7 |D s |
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Datensatz im Suchindex
| _version_ | 1807593237677867008 |
|---|---|
| adam_text |
CONTENTS
1.
PROLOGUE
1
1.1.
OBSERVATIONAL
FACTS
ON
TYPE
LA
SUPEMOVAE
.
2
1.2.
ASTROPHYSICAL
IMPLICATIONS
.
3
1.2.1.
CONCLUSIONS
FROM
THE
OBSERVATIONS
.
3
1.2.2.
CONSTRAINTS
FOR
THE
ASTROPHYSICAL
MODELS
.
4
1.2.3.
POSSIBLE PROGENITOR
SCENARIOS
.
4
1.2.4.
PRE-IGNITION
EVOLUTION
.
6
1.2.5.
ASTROPHYSICAL
RELEVANCE
OF
TYPE
LA
SUPEMOVAE
.
7
1.3.
CURRENT
STATUS
OF
TYPE
LA
SUPERNOVA
RESEARCH
.
8
1.4.
OBJECTIVES
OF
THIS
WORK
.
10
1.5.
ORGANIZATION
OF
THE
THESIS
.
13
2.
THEORETICAL
CONSIDERATIONS
15
2.1.
REACTIVE
FLUID
DYNAMICS
.
15
2.1.1.
GENERAL
FORM
OF
A
BALANCE
EQUATION
.
16
2.1.2.
THE
EULER
EQUATIONS
.
-:
.
.
.
17
2.1.3.
THE
NAVIER-STOKES
EQUATIONS
.
18
2.1.4.
GENERAL
REACTIVE
FLOW
EQUATIONS
.
18
2.1.5.
NONDIMENSIONAL
REPRESENTATION
OF
THE
GENERAL
-
REACTIVE
FLOW
EQUATIONS
.
20
2.1.6.
SOURCE
TERMS
FOR
NUCLEAR
REACTIONS
.
21
2.2.
COMBUSTION
THEORY
.
23
2.2.1.
THE
DISCONTINUITY
APPROXIMATION
OF
BURNING
FRONTS
AND
MODES
OF
PROPAGATION
.
23
2.2.2.
INTERNAL
STRUCTURE
OF
DETONATION
AND
DEFLAGRATION
WAVES
.
27
2.2.3.
LAMINAR
FLAMES
.
30
2.2.4.
PHENOMENOLOGICAL
DESCRIPTION
ACCORDING
TO
MARKSTEIN
.
31
2.2.5.
THERMONUCLEAR
DEFLAGRATION
IN
C+O
WHITE
DWARF
MATTER
.
31
2.3.
FLAME
INSTABILITIES
.
33
2.3.1.
LINEAR
STABILITY
ANALYSIS
.
34
2.3.2.
COROLLARIES
FROM
THE
FLAME
INSTABILITIES
.
40
2.4.
ANALYTICAL
STUDIES
OF
NONLINEAR
FLAME
PROPAGATION
.
44
2.4.1.
STABILITY
ANALYSIS
AFTER
ZEL
'
DOVICH
.
44
2.4.2.
THE
SIVASHINSKY
EQUATION
.
44
CONTENTS
2.4.3.
POLE
DECOMPOSITION
.
45
2.5.
FRACTAL
DESCRIPTIONS
OF
FLAME
FRONTS
.
48
2.6.
TURBULENT
COMBUSTION
.
50
2.6.1.
BASIC
CONCEPTS
OF
TURBULENCE
THEORY
.
51
2.6.2.
TURBULENT
BURNING
REGIMES
AND
RESULTING
LENGTH
SCALES
.
52
2.6.3.
ACTIVE
TURBULENT
COMBUSTION
.
54
2.7.
DEFLAGRATION
TO
DETONATION
TRANSITION
.
54
3.
ASTROPHYSICAL
BACKGROUND
57
3.1.
THERMONUCLEAR
COMBUSTION
IN
TYPE
LA
SUPEMOVAE
.
57
3.1.1.
MODELS
FOR
THE
EXPLOSION
MECHANISM
.
57
3.1.2.
TURBULENT
COMBUSTION
IN
TYPE
LA
SUPERNOVA
EXPLOSIONS
.
59
3.2.
HYDRODYNAMICAL
CONSIDERATIONS
.
61
3.2.1.
THE
EQUATION
OF
STATE
FOR
WHITE
DWARF
MATTER
.
61
3.2.2.
EXTERNAL
FORCES:
GRAVITY
.
62
4.
NUMERICAL
IMPLEMENTATION
63
4.1.
FLUID
DYNAMICS
.
64
4.1.1.
OPERATOR
SPLITTING
.
64
4.1.2.
DISCRETIZATION
ON
A
COMPUTATIONAL
GRID
.
65
4.L3.
NUMERICAL
SOLUTION
OF
THE
EULER
EQUATIONS
.
.
.
.
65
4.1.4.
BOUNDARY
CONDITIONS
.
68
4.1.5.
IMPLEMENTATION
OF
THE
HYDRODYNAMICS
SOLVER
.
69
4.2.
EQUATION
OF
STATE
.
69
4.3.
THERMONUCLEAR
REACTIONS
.
70
4.4.
FLAME
MODEL
.
70
4.4.1.
THE
LEVEL-SET
TECHNIQUE
.
70
4.4.2.
THE
G-EQUATION
.
71
4.4.3.
RE-INITIALIZATION
.
72
4.5.
FLAME/FLOW
COUPLING
.
72
4.5.1.
GEOMETRICAL
INFORMATION
.
72
4.5.2.
IN-CELL
RECONSTRUCTION
.
73
4.5.3.
FLUX-SPLITTING
.
75
4.5.4.
TREATMENT
OF
THE
SOURCE
TERMS
.
75
5.
RESULTS
AND
DISCUSSION
79
5.1.
SOME
VERIFICATION
TESTS
OF
THE
IMPLEMENTATION
.
79
5.2.
PROBLEMS
WITH
THE
NUMERICAL
IMPLEMENTATION
.
82
5.3.
FLAME
PROPAGATION
INTO
QUIESCENT
FUEL
.
85
5.3.1.
PASSIVE
VS.
COMPLETE
IMPLEMENTATION
.
86
5.3.2.
SIMULATION
SETUP
.
87
5.3.3.
GENERAL
FEATURES
OF
FLAME
EVOLUTION
.
90
5.3.4.
THE
LINEAR
REGIME
OF
FLAME
EVOLUTION
.
97
VI
CONTENTS
5.3.5.
THE
NONLINEAR
REGIME
OF
FLAME
EVOLUTION
.
99
5.3.6.
INCREASE
IN
FLAME
SURFACE
AND
ACCELERATION
OF
THE
FLAME
.
99
5.3.7.
INFLUENCE
OF
THE
INITIAL
FLAME
SHAPE
AND
THE
BOUNDARY
CONDITIONS
.
103
5.3.8.
FLAME
STABILITY
AT
DIFFERENT
FUEL
DENSITIES
.
104
5.4.
FLAME
INTERACTION
WITH
A
VORTICAL
FLOW
.
109
5.4.1.
SIMULATION
SETUP
.
109
5.4.2.
WHAT
CAN
BE
EXPECTED?
.
ILL
5.4.3.
SIMULATION
RESULTS
.
112
5.4.4.
A
PARAMETER
STUDY
.
116
6.
EPILOGUE
127
6.1.
CONCLUSIONS
.
127
6.2.
COMPARISON
WITH
EXPERIMENTS
.
129
6.3.
IMPLICATIONS
FOR
SN
LA
MODELS
.
131
6.4.
FUTURE
WORK
.
132
A.
DERIVATION
OF
THE
SIVASHINSKY
EQUATION
FOR
A
HYDRODYNAMICAL
MODEL
OF
THE
FLAME
135
B.
VECTORS
OF
THE
GENERAL
REACTIVE
FLOW
EQUATION
139
C.
NOMENCLATURE
141
BIBLIOGRAPHY
145
VII |
| any_adam_object | 1 |
| author | Röpke, Friedrich 1974- |
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| author_facet | Röpke, Friedrich 1974- |
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| discipline | Physik |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV017735408 |
| illustrated | Illustrated |
| indexdate | 2024-08-17T00:40:44Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010659178 |
| oclc_num | 645593321 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-12 |
| owner_facet | DE-91 DE-BY-TUM DE-12 |
| physical | VII, 155 S. Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| spelling | Röpke, Friedrich 1974- Verfasser (DE-588)128587024 aut On the stability of thermonuclear flames in type Ia supernova explosions Friedrich Konrad Röpke 2003 VII, 155 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2003 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=010659178&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Röpke, Friedrich 1974- On the stability of thermonuclear flames in type Ia supernova explosions 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 | On the stability of thermonuclear flames in type Ia supernova explosions |
| title_auth | On the stability of thermonuclear flames in type Ia supernova explosions |
| title_exact_search | On the stability of thermonuclear flames in type Ia supernova explosions |
| title_full | On the stability of thermonuclear flames in type Ia supernova explosions Friedrich Konrad Röpke |
| title_fullStr | On the stability of thermonuclear flames in type Ia supernova explosions Friedrich Konrad Röpke |
| title_full_unstemmed | On the stability of thermonuclear flames in type Ia supernova explosions Friedrich Konrad Röpke |
| title_short | On the stability of thermonuclear flames in type Ia supernova explosions |
| title_sort | on the stability of thermonuclear flames in type ia supernova explosions |
| 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=010659178&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ropkefriedrich onthestabilityofthermonuclearflamesintypeiasupernovaexplosions |