Bénard-Marangoni convection at low Prandtl numbers: results of direct numerical simulations
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Aachen
Shaker
2000
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| Schriftenreihe: | Berichte aus der Physik
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | II, 121 S. graph. Darst. : 21 cm |
| ISBN: | 3826576020 |
Internformat
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Datensatz im Suchindex
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| adam_text | BERICHTE AUS DER PHYSIK THOMAS BOECK BENARD-MARANGONI CONVECTION AT LOW
PRANDTL NUMBERS RESULTS OF DIRECT NUMERICAL SIMULATIONS SHAKER VERLAG
AACHEN 2000 CONTENTS I CONTENTS 1 INTRODUCTION 1 1.1 MARANGONI EFFECT 1
1.2 BENARD SYSTEM 3 1.3 LOW-PRANDTL-NUMBER CONVECTION 8 1.4 SCOPE OF
THESIS 10 2 MATHEMATICAL MODEL 13 2.1 BASIC ASSUMPTIONS 13 2.2 GOVERNING
EQUATIONS 15 2.3 SMALL-PRANDTL-NUMBER LIMIT: VISCOUS VS. THERMAL SCALING
17 2.4 NUSSELT NUMBER 20 2.5 ENERGY BUDGET 22 3 NUMERICAL METHODS 27 3.1
REDUCTION OF THE NUMBER OF VARIABLES 27 3.1.1 THREE-DIMENSIONAL CASE 27
3.1.2 TWO-DIMENSIONAL CASE 30 3.2 DERIVATION OF DISCRETIZED EQUATIONS 31
3.2.1 FOURIER-CHEBYSHEV EXPANSION 31 3.2.2 TEMPORAL DISCRETIZATION 33
3.2.3 PROPERTIES OF CHEBYSHEV POLYNOMIAL EXPANSIONS 34 3.2.4 CHEBYSHEV
TAU METHOD FOR THE ONE-DIMENSIONAL HELMHOLTZ EQUATION 36 3.3 COMPUTATION
OF NONLINEAR TERMS 38 3.3.1 FAST FOURIER AND FAST CHEBYSHEV TRANSFORMS
38 3.3.2 TWO- AND THREE-DIMENSIONAL TRANSFORMS 41 3.4 PARALLELIZATION OF
THREE-DIMENSIONAL CODE 42 3.4.1 STRATEGY 42 3.4.2 IMPLEMENTATION AND
PERFORMANCE 44 3.5 VALIDATION OF CODES AND SIMULATIONS 48 4
TWO-DIMENSIONAL CONVECTION 51 4.1 FREE-SLIP BOUNDARY CONDITION 51 4.1.1
WEAK CONVECTION 51 4.1.2 BREAKDOWN OF THE VISCOUS ZERO-PRANDTL-NUMBER
LIMIT ... 55 II CONTENTS 4.1.3 TRANSITION TO INERTIAL CONVECTION 59
4.1.4 ASYMPTOTIC BEHAVIOR AT LARGE MARANGONI NURABER 64 4.2 NO-SLIP
BOUNDARY CONDITION 70 4.2.1 TRANSITION TO TURBULENCE 70 4.2.2 TURBULENT
SCALING RELATIONS 73 5 THREE-DIMENSIONAL CONVECTION 79 5.1 RESULTS FOR
FREE-SLIP BOUNDARY CONDITIONS 79 5.1.1 TRANSITION TO TIME-DEPENDENT
CONVECTION 79 5.1.2 REGULARITY OF THE ZERO-PRANDTL-NUMBER LIMIT 85 5.2
RESULTS FOR NO-SLIP BOUNDARY CONDITIONS 89 5.2.1 TVANSITION TO
TIME-DEPENDENT CONVECTION 89 5.2.2 INERTIAL BURSTS: REMNANTS OF FLYWHEEL
CONVECTION 92 6 SUMMARY AND OUTLOOK 99 A MARANGONI BOUNDARY CONDITION
103 B SCHEDULE FOR PROCESS COMMUNICATION 104 C PRIMARY INSTABILITY FOR
FREE-SLIP BOTTOM 105 D PERTURBATION METHOD FOR FREE-SLIP CASE 108 E
CHRISTOPHERSON SOLUTION 110 F DATA TABLES FOR FREE-SLIP CASE 112 G DATA
TABLES FOR NO-SLIP CASE 113 REFERENCES 115
|
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| id | DE-604.BV013289708 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:43:13Z |
| institution | BVB |
| isbn | 3826576020 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009061205 |
| oclc_num | 48267152 |
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| physical | II, 121 S. graph. Darst. : 21 cm |
| publishDate | 2000 |
| publishDateSearch | 2000 |
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| publisher | Shaker |
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| series2 | Berichte aus der Physik |
| spelling | Boeck, Thomas Verfasser aut Bénard-Marangoni convection at low Prandtl numbers results of direct numerical simulations Thomas Boeck Aachen Shaker 2000 II, 121 S. graph. Darst. : 21 cm txt rdacontent n rdamedia nc rdacarrier Berichte aus der Physik Zugl.: Ilmenau, Techn. Univ., Diss., 2000 Marangoni-Effekt (DE-588)4328925-3 gnd rswk-swf Bénard-Effekt (DE-588)4144456-5 gnd rswk-swf Direkte numerische Simulation (DE-588)4494453-6 gnd rswk-swf Metallschmelze (DE-588)4169631-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Bénard-Effekt (DE-588)4144456-5 s Marangoni-Effekt (DE-588)4328925-3 s Metallschmelze (DE-588)4169631-1 s Direkte numerische Simulation (DE-588)4494453-6 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009061205&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Boeck, Thomas Bénard-Marangoni convection at low Prandtl numbers results of direct numerical simulations Marangoni-Effekt (DE-588)4328925-3 gnd Bénard-Effekt (DE-588)4144456-5 gnd Direkte numerische Simulation (DE-588)4494453-6 gnd Metallschmelze (DE-588)4169631-1 gnd |
| subject_GND | (DE-588)4328925-3 (DE-588)4144456-5 (DE-588)4494453-6 (DE-588)4169631-1 (DE-588)4113937-9 |
| title | Bénard-Marangoni convection at low Prandtl numbers results of direct numerical simulations |
| title_auth | Bénard-Marangoni convection at low Prandtl numbers results of direct numerical simulations |
| title_exact_search | Bénard-Marangoni convection at low Prandtl numbers results of direct numerical simulations |
| title_full | Bénard-Marangoni convection at low Prandtl numbers results of direct numerical simulations Thomas Boeck |
| title_fullStr | Bénard-Marangoni convection at low Prandtl numbers results of direct numerical simulations Thomas Boeck |
| title_full_unstemmed | Bénard-Marangoni convection at low Prandtl numbers results of direct numerical simulations Thomas Boeck |
| title_short | Bénard-Marangoni convection at low Prandtl numbers |
| title_sort | benard marangoni convection at low prandtl numbers results of direct numerical simulations |
| title_sub | results of direct numerical simulations |
| topic | Marangoni-Effekt (DE-588)4328925-3 gnd Bénard-Effekt (DE-588)4144456-5 gnd Direkte numerische Simulation (DE-588)4494453-6 gnd Metallschmelze (DE-588)4169631-1 gnd |
| topic_facet | Marangoni-Effekt Bénard-Effekt Direkte numerische Simulation Metallschmelze Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009061205&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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