Simulation of axisymmetric flows in the characteristic formulation of general relativity:
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| Format: | Book |
| Language: | English |
| Published: |
2002
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | München, Techn. Univ., Diss., 2002 |
| Physical Description: | II, 123 S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a Simulation of axisymmetric flows in the characteristic formulation of general relativity |c Florian Siebel |
| 264 | 1 | |c 2002 | |
| 300 | |a II, 123 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
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| adam_text |
CONTENTS
1 INTRODUCTION 1
1.1 GRAVITATIONAL WAVE ASTRONOMY. 1
1.2 SUPERNOVA PHYSICS . 3
1.2.1 HISTORICAL SUPERNOVAE . 4
1.2.2 THE CLASSIFICATION OF SUPERNOVAE. 4
1.2.3 CORE COLLAPSE SUPERNOVAE . 6
1.2.4 GOING FURTHER. 8
1.3 SIMULATIONS OF GRAVITATIONAL COLLAPSE. 9
1.3.1 NEWTONIAN SIMULATIONS.10
1.3.2 GENERAL RELATIVISTIC SIMULATIONS.10
1.4 THE CHARACTERISTIC FORMULATION OF NUMERICAL RELATIVITY.11
1.5 A SUMMARY OF THE RESULTS PRESENTED IN THIS THESIS.14
1.6 ORGANIZATION OF THE THESIS.15
2 CHARACTERISTIC NUMERICAL RELATIVITY AND HYDRODYNAMICS 17
2.1 THE EINSTEIN EQUATIONS FOR THE BONDI METRIC.18
2.2 THE RELATIVISTIC PERFECT FLUID EQUATIONS.21
2.2.1 GENERAL RELATIVISTIC HYDRODYNAMICS IN AXISYMMETRY.21
2.2.2 EQUATIONS OF STATE .23
2.2.3 EQUILIBRIUM MODELS FOR SPHERICALLY SYMMETRIC STARS.25
2.3 GRAVITATIONAL WAVES .25
2.3.1 GRAVITATIONAL WAVES AT NULL INFINITY.26
2.3.2 APPROXIMATE GRAVITATIONAL WAVES.29
3 THE NUMERICAL IMPLEMENTATION 33
3.1 IMPLEMENTATION OF THE FLUID EQUATIONS: HIGH-RESOLUTION
SHOCK-CAPTURING METHODS 34
3.1.1 RECONSTRUCTION SCHEMES.35
3.1.2 APPROXIMATE RIEMANN SOLVERS.37
3.1.3 THE RECOVERY OF THE PRIMITIVE VARIABLES.39
3.2 IMPLEMENTATION OF THE METRIC EQUATIONS.41
3.2.1 SOLVING THE WAVE EQUATION.41
3.2.2 SOLVING THE HYPERSURFACE EQUATIONS.43
3.2.3 THE COURANT CONDITION.44
3.2.4 THE ORIGIN TREATMENT.44
3.3 THE FLUID METRIC COUPLING.45
L
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/966577825
CONTENTS
3.4 GRAVITATIONAL WAVE EXTRACTION.
45
3.4.1 NUMERICAL EXTRACTION OF THE BONDI NEWS.45
3.4.2 NUMERICAL EXTRACTION OF APPROXIMATE GRAVITATIONAL WAVES.45
4 CODE TESTS
47
4.1 TESTS FOR THE METRIC SOLVER.
47
4.1.1 LINEARIZED GRAVITATIONAL WAVES .47
4.1.2 SIMPLE.48
4.2 TESTS CONCERNING RELATIVISTIC STARS.49
4.2.1 EQUILIBRIUM RELATIVISTIC STARS.
49
4.2.2 GLOBAL ENERGY CONSERVATION.52
4.3 TESTS CONCERNING SUPERNOVA CORE COLLAPSE.54
4.3.1 SHOCK REFLECTION TEST.54
4.3.2 CONVERGENCE TESTS .
55
5 RELATIVISTIC STARS INTERACTING WITH SCALAR FIELDS
59
5.1 MATHEMATICAL FRAMEWORK.60
5.1.1 EINSTEIN EQUATIONS.60
5.1.2 SCALAR FIELD EQUATIONS.61
5.1.3 HYDRODYNAMIC EQUATIONS .61
5.1.4 GLOBAL QUANTITIES.62
5.2 NUMERICAL IMPLEMENTATION.63
5.3 CODE CALIBRATION. 64
5.3.1 NULL CONE EVOLUTION OF STABLE STARS.64
5.3.2 SCALAR FIELD DYNAMICS IN A REGULAR SPACETIME.67
5.3.3 GLOBAL ENERGY CONSERVATION.67
5.4 DYNAMICS OF SCALAR FIELD - RELATIVISTIC STAR INTERACTIONS .69
6
NON-RADIAL PULSATIONS OF RELATIVISTIC STARS 75
6.1
THE PERTURBATIONS. 77
6.2 FIXED BACKGROUND EVOLUTIONS . 78
6.3 METRIC-FLUID COUPLED EVOLUTIONS. 81
6.4 GRAVITATIONAL WAVEFORM. 84
7 SIMULATION OF SUPERNOVA CORE COLLAPSE
87
7.1 INITIAL MODELS.
GJ
7.2 THE DYNAMICS OF CORE COLLAPSE SUPERNOVAE. 89
7.2.1 COLLAPSE AND BOUNCE. GG
7.2.2 FLUID OSCILLATIONS IN THE OUTER CORE. 95
7.3 GRAVITATIONAL WAVES FROM CORE COLLAPSE SUPERNOVAE. 96
7.3.1 QUADRUPOLE GRAVITATIONAL WAVES.
7.3.2 THE BONDI NEWS SIGNAL.
7.4 SUMMARY. ^G
8
CONCLUSION AND OUTLOOK JGG
II |
| any_adam_object | 1 |
| author | Siebel, Florian 1972- |
| author_GND | (DE-588)124388647 |
| author_facet | Siebel, Florian 1972- |
| author_role | aut |
| author_sort | Siebel, Florian 1972- |
| author_variant | f s fs |
| building | Verbundindex |
| bvnumber | BV016491348 |
| classification_tum | PHY 928d PHY 927d |
| ctrlnum | (OCoLC)76733427 (DE-599)BVBBV016491348 |
| discipline | Physik |
| format | Book |
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| indexdate | 2024-11-22T17:35:52Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010194203 |
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| physical | II, 123 S. Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
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| spelling | Siebel, Florian 1972- Verfasser (DE-588)124388647 aut Simulation of axisymmetric flows in the characteristic formulation of general relativity Florian Siebel 2002 II, 123 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2002 Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Gravitationswelle (DE-588)4158119-2 gnd rswk-swf Einstein-Feldgleichungen (DE-588)4013941-4 gnd rswk-swf Himmelskörper (DE-588)4159892-1 gnd rswk-swf Relativistische Hydrodynamik (DE-588)4177684-7 gnd rswk-swf Modell (DE-588)4039798-1 gnd rswk-swf Achsensymmetrie (DE-588)4843726-8 gnd rswk-swf Charakteristikenverfahren (DE-588)4418887-0 gnd rswk-swf Zylindrische Anordnung (DE-588)4387896-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Himmelskörper (DE-588)4159892-1 s Modell (DE-588)4039798-1 s Einstein-Feldgleichungen (DE-588)4013941-4 s Relativistische Hydrodynamik (DE-588)4177684-7 s Achsensymmetrie (DE-588)4843726-8 s Gravitationswelle (DE-588)4158119-2 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Allgemeine Relativitätstheorie (DE-588)4112491-1 s Zylindrische Anordnung (DE-588)4387896-9 s Charakteristikenverfahren (DE-588)4418887-0 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010194203&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Siebel, Florian 1972- Simulation of axisymmetric flows in the characteristic formulation of general relativity Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Gravitationswelle (DE-588)4158119-2 gnd Einstein-Feldgleichungen (DE-588)4013941-4 gnd Himmelskörper (DE-588)4159892-1 gnd Relativistische Hydrodynamik (DE-588)4177684-7 gnd Modell (DE-588)4039798-1 gnd Achsensymmetrie (DE-588)4843726-8 gnd Charakteristikenverfahren (DE-588)4418887-0 gnd Zylindrische Anordnung (DE-588)4387896-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4112491-1 (DE-588)4158119-2 (DE-588)4013941-4 (DE-588)4159892-1 (DE-588)4177684-7 (DE-588)4039798-1 (DE-588)4843726-8 (DE-588)4418887-0 (DE-588)4387896-9 (DE-588)4128130-5 (DE-588)4113937-9 |
| title | Simulation of axisymmetric flows in the characteristic formulation of general relativity |
| title_auth | Simulation of axisymmetric flows in the characteristic formulation of general relativity |
| title_exact_search | Simulation of axisymmetric flows in the characteristic formulation of general relativity |
| title_full | Simulation of axisymmetric flows in the characteristic formulation of general relativity Florian Siebel |
| title_fullStr | Simulation of axisymmetric flows in the characteristic formulation of general relativity Florian Siebel |
| title_full_unstemmed | Simulation of axisymmetric flows in the characteristic formulation of general relativity Florian Siebel |
| title_short | Simulation of axisymmetric flows in the characteristic formulation of general relativity |
| title_sort | simulation of axisymmetric flows in the characteristic formulation of general relativity |
| topic | Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Gravitationswelle (DE-588)4158119-2 gnd Einstein-Feldgleichungen (DE-588)4013941-4 gnd Himmelskörper (DE-588)4159892-1 gnd Relativistische Hydrodynamik (DE-588)4177684-7 gnd Modell (DE-588)4039798-1 gnd Achsensymmetrie (DE-588)4843726-8 gnd Charakteristikenverfahren (DE-588)4418887-0 gnd Zylindrische Anordnung (DE-588)4387896-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Allgemeine Relativitätstheorie Gravitationswelle Einstein-Feldgleichungen Himmelskörper Relativistische Hydrodynamik Modell Achsensymmetrie Charakteristikenverfahren Zylindrische Anordnung Numerisches Verfahren Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010194203&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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