Predictor-corrector discontinuous galerkin schemes for the numerical solution of the compressible navier-stokes equations in complex domains:
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
München
Verl. Dr. Hut
2009
|
| Edition: | 1. Aufl. |
| Series: | Ingenieurwissenschaften
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 125 S. Ill., graph. Darst. 21 cm, 192 gr. |
| ISBN: | 9783868530322 |
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MARC
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| 245 | 1 | 0 | |a Predictor-corrector discontinuous galerkin schemes for the numerical solution of the compressible navier-stokes equations in complex domains |c by Frieder Lörcher |
| 250 | |a 1. Aufl. | ||
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Record in the Search Index
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| adam_text | CONTENTS ABBREVIATIONS X SYMBOLS XI KURZFASSUNG XV ABSTRACT XVII 1
INTRODUCTION 1 1.1 EQUATIONS 3 1.2 TYPES OF SPACE DISCRETIZATIONS 3 1.3
OBJECTIVES OF THIS WORK 9 1.4 OUTLINE 10 2 DG DISCRETIZATION OF THE
SPATIAL OPERATOR 11 2.1 NOTATION 11 2.2 EQUATIONS 12 2.2.1 LINEAR
ADVECTION-DIFFUSION EQUATION 13 2.2.2 COMPRESSIBLE NAVIER-STOKES
EQUATIONS 13 2.3 WEAK FORMULATION 14 2.4 SEMI-DISCRETE FORM 15 2.4.1
ADDITIONAL SEMI-DISCRETE FORMS 17 2.5 THE NUMERICAL FLUXES 19 2.5.1
CONVECTIVE FLUXES 19 2.5.2 VISCOUS FLUXES 19 2.6 BOUNDARY CONDITIONS 22
2.6.1 HYPERBOLIC BCS 23 2.6.2 VISCOUS BCS 24 2.7 APPROXIMATION OF
INTEGRALS 25 2.8 TREATMENT OF CURVED BOUNDARIES 26 2.8.1 GEOMETRY
DEFINITION 27 2.8.2 QUADRATURE RULES AND NODAL BASIS SETS 30
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/993731309 DIGITALISIERT
DURCH CONTENTS 3 TIME DISCRETIZATION 33 3.1 IMPLICIT HIGH ORDER SCHEMES
35 3.2 DG TIME DISCRETIZATION 35 3.3 CG TIME DISCRETIZATION 38 3.4
EXPLICIT HIGH ORDER SCHEMES 40 3.5 TAYLOR TIME INTEGRATION /
LAX-WENDROFF DG SCHEMES 44 3.6 RUNGE-KUTTA DG SCHEMES 47 3.7 PICARD
ITERATION PROCESSES 49 3.8 DG - PICARD ITERATION 50 3.9 CG - PICARD
ITERATION 51 3.10 THE STE-DG SCHEME 52 3.11 THE LOCALLY IMPLICIT STE-DG
SCHEME 54 4 THE STE-DG SCHEME 55 4.1 CONSTRUCTION OF A LOCAL SPACE-TIME
APPROXIMATE SOLUTION . . . . 55 4.1.1 SPACE-TIME TAYLOR SERIES EXPANSION
55 4.1.2 PREDICTION BY RUNGE-KUTTA SCHEMES 60 4.1.3 PREDICTION USING
DG/CG TIME DISCRETIZATION 61 4.2 FINAL FORMULATION OF THE STE-DG METHOD
62 4.2.1 EXPERIMENTAL ORDER OF CONVERGENCE 63 4.3 LOCAL TIME STEPS 64
4.3.1 THE LOCAL TIME-STEPPING ALGORITHM 64 4.3.2 EXPERIMENTAL ORDER OF
CONVERGENCE WITH LOCAL TIME STEPPING 69 4.4 TIME STEP RESTRICTIONS 71
4.4.1 1D LINEAR STABILITY ANALYSIS FOR THE LOCAL TIME STEPPING SCHEME
FOR PURE CONVECTION 73 4.4.2 1D LINEAR STABILITY ANALYSIS FOR THE LOCAL
TIME STEPPING SCHEME FOR PURE DIFFUSION 74 4.4.3 SUPERPOSITION OF
CONVECTIVE AND DIFFUSIVE TIME STEP LIMITS 79 4.4.4 TIME STEPS FOR
NON-LINEAR SYSTEMS 83 4.4.5 TIME STEPS IN MULTIPLE SPACE DIMENSIONS 84 5
IMPLICIT-EXPLICIT SPACE TIME (IMEX ST)-DG SCHEMES 85 5. 6 MPI
PARALLELIZATION AND MASSIVELY PARALLEL COMPUTATIONS 89 6.1 DESCRIPTION
OF THE PARALLELIZATION 90 6.2 DYNAMIC LOAD BALANCING 97 6.3 INITIAL MESH
DISTRIBUTION 99 6.3.1 INITIAL MESH DISTRIBUTION 99 6.3.2 COMPUTATION OF
A DISTRIBUTED CONNECTIVITY GRAPH . . . . 100 7 NUMERICAL EXAMPLES 103
7.1 CYLINDER VORTEX STREET 103 8 CONCLUSIONS AND OUTLOOK 109 A
COEFFICIENTS FOR CERK SCHEMES 111 BIBLIOGRAPHY 115 LIST OF TABLES 121
LIST OF FIGURES 123 LEBENSLAUF 125
|
| any_adam_object | 1 |
| author | Lörcher, Frieder 1977- |
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| author_facet | Lörcher, Frieder 1977- |
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| author_sort | Lörcher, Frieder 1977- |
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| building | Verbundindex |
| bvnumber | BV035492331 |
| ctrlnum | (OCoLC)423899850 (DE-599)DNB993731309 |
| dewey-full | 532.0535 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.0535 |
| dewey-search | 532.0535 |
| dewey-sort | 3532.0535 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| id | DE-604.BV035492331 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:38:49Z |
| institution | BVB |
| isbn | 9783868530322 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017548707 |
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| owner_facet | DE-12 DE-91 DE-BY-TUM |
| physical | XVIII, 125 S. Ill., graph. Darst. 21 cm, 192 gr. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
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| publisher | Verl. Dr. Hut |
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| series2 | Ingenieurwissenschaften |
| spelling | Lörcher, Frieder 1977- Verfasser (DE-588)138176779 aut Predictor-corrector discontinuous galerkin schemes for the numerical solution of the compressible navier-stokes equations in complex domains by Frieder Lörcher 1. Aufl. München Verl. Dr. Hut 2009 XVIII, 125 S. Ill., graph. Darst. 21 cm, 192 gr. txt rdacontent n rdamedia nc rdacarrier Ingenieurwissenschaften Zugl.: Stuttgart, Univ., Diss., 2009 Navier-Stokes-Gleichung - Instationäre Strömung - Kompressible Strömung - Finite-Elemente-Methode - Diskontinuierliche Galerkin-Methode Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Kompressible Strömung (DE-588)4032018-2 gnd rswk-swf Instationäre Strömung (DE-588)4132734-2 gnd rswk-swf Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Navier-Stokes-Gleichung (DE-588)4041456-5 s Instationäre Strömung (DE-588)4132734-2 s Kompressible Strömung (DE-588)4032018-2 s Finite-Elemente-Methode (DE-588)4017233-8 s Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017548707&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lörcher, Frieder 1977- Predictor-corrector discontinuous galerkin schemes for the numerical solution of the compressible navier-stokes equations in complex domains Navier-Stokes-Gleichung - Instationäre Strömung - Kompressible Strömung - Finite-Elemente-Methode - Diskontinuierliche Galerkin-Methode Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Kompressible Strömung (DE-588)4032018-2 gnd Instationäre Strömung (DE-588)4132734-2 gnd Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 gnd |
| subject_GND | (DE-588)4041456-5 (DE-588)4017233-8 (DE-588)4032018-2 (DE-588)4132734-2 (DE-588)4588309-9 (DE-588)4113937-9 |
| title | Predictor-corrector discontinuous galerkin schemes for the numerical solution of the compressible navier-stokes equations in complex domains |
| title_auth | Predictor-corrector discontinuous galerkin schemes for the numerical solution of the compressible navier-stokes equations in complex domains |
| title_exact_search | Predictor-corrector discontinuous galerkin schemes for the numerical solution of the compressible navier-stokes equations in complex domains |
| title_full | Predictor-corrector discontinuous galerkin schemes for the numerical solution of the compressible navier-stokes equations in complex domains by Frieder Lörcher |
| title_fullStr | Predictor-corrector discontinuous galerkin schemes for the numerical solution of the compressible navier-stokes equations in complex domains by Frieder Lörcher |
| title_full_unstemmed | Predictor-corrector discontinuous galerkin schemes for the numerical solution of the compressible navier-stokes equations in complex domains by Frieder Lörcher |
| title_short | Predictor-corrector discontinuous galerkin schemes for the numerical solution of the compressible navier-stokes equations in complex domains |
| title_sort | predictor corrector discontinuous galerkin schemes for the numerical solution of the compressible navier stokes equations in complex domains |
| topic | Navier-Stokes-Gleichung - Instationäre Strömung - Kompressible Strömung - Finite-Elemente-Methode - Diskontinuierliche Galerkin-Methode Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Kompressible Strömung (DE-588)4032018-2 gnd Instationäre Strömung (DE-588)4132734-2 gnd Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 gnd |
| topic_facet | Navier-Stokes-Gleichung - Instationäre Strömung - Kompressible Strömung - Finite-Elemente-Methode - Diskontinuierliche Galerkin-Methode Navier-Stokes-Gleichung Finite-Elemente-Methode Kompressible Strömung Instationäre Strömung Diskontinuierliche Galerkin-Methode Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017548707&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lorcherfrieder predictorcorrectordiscontinuousgalerkinschemesforthenumericalsolutionofthecompressiblenavierstokesequationsincomplexdomains |