A parallel discontinuous galerkin code for the navier-stokes and reynolds-averaged navier-stokes equations:
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| Main Author: | |
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| Format: | Book |
| Language: | German |
| Published: |
München
Hut
2008
|
| Edition: | 1. Aufl. |
| Series: | Luftfahrt
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Stuttgart, Univ., Diss., 2007 |
| Physical Description: | 159 S. graph. Darst. 210 mm x 148 mm, 400 gr. |
| ISBN: | 9783899637342 |
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| 245 | 1 | 0 | |a A parallel discontinuous galerkin code for the navier-stokes and reynolds-averaged navier-stokes equations |c Bjoern Landmann |
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Record in the Search Index
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| adam_text | CONTENTS SYMBOLS VII GREEK VII LATIN VIII SUPERSCRIPTS IX ABBREVIATIONS
XI ABSTRACT XIII ZUSAMMENFASSUNG XV 1. INTRODUCTION 1 1.1. DEMANDS ON
CFD METHODS 2 1.2. TRADITIONAL HIGHER-ORDER DISCRETISATIONS IN SPACE IN
CFD FOR AERODYNAMIC FLOWS 4 1.2.1. FINITE DIFFERENCE (FD) METHODS 5
1.2.2. FINITE VOLUME (FV) METHODS 5 1.2.3. FINITE ELEMENT (FE) METHODS 6
1.3. DISCONTINUOUS FINITE ELEMENT METHODS 7 1.4. MOTIVATION AND GOALS 9
2. GOVERNING AERODYNAMIC EQUATIONS 11 2.1. EULER EQUATIONS 11 2.2.
NAVIER-STOKES EQUATIONS 12 2.3. REYNOLDS-AVERAGED NAVIER-STOKES
EQUATIONS AND CLOSURE MODELS 13 2.3.1. REYNOLDS AND FAVRE AVERAGING 14
2.3.2. WILCOX K - AJ TURBULENCE MODEL 16 2.3.3. SPALART-ALLMARAS
TURBULENCE MODEL 18 2.4. NONDIMENSIONAL FORM OF EQUATIONS 20 3.
DISCONTINUOUS GALERKIN DISCRETISATION IN SPACE 25 3.1. FORMULATION FOR
THE EULER EQUATIONS 25 3.2. FORMULATION FOR THE NAVIER-STOKES EQUATIONS
29 3.2.1. MODEL PROBLEM 29 3.2.2. MIXED DISCONTINUOUS GALERKIN
FORMULATION FOR THE NS EQUATIONS . 36 UI BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/988422433 DIGITALISIERT DURCH CONTENTS 3.2.3. BR1 AND
LOCAL DG METHOD 38 3.2.4. SECOND BASSI-REBAY METHOD (BR2) 38 3.3.
TURBULENCE MODELING 40 3.3.1. DISCRETISATION OF THE RANS EQUATIONS 40
3.3.2. LIMITING 42 3.3.3. WALL DISTANCE 45 3.4. BOUNDARY CONDITIONS 46
3.4.1. FARFIELD 47 3.4.2. NO-SLIP WALL 47 3.4.3. SLIP WALL 48 3.4.4.
EXTRAPOLATION 48 3.5. ELEMENTS AND BASIS FUNCTIONS 49 3.5.1.
TRANSFORMATION TO COMPUTATIONAL SPACE 49 3.5.2. GAUSSIAN INTEGRATION IN
THE COMPUTATIONAL SPACE 51 3.5.3. LINE ELEMENTS 52 3.5.4. TRIANGULAR AND
QUADRILATERAL ELEMENTS 52 3.5.5. MASS MATRICES 54 3.6. HIGH-ORDER
BOUNDARIES 54 3.6.1. BOUNDARY REPRESENTATION 56 3.6.2. TRANSFORMATION 60
4. TIME INTEGRATION METHOD 65 4.1. EXPLICIT TIME INTEGRATION METHOD 66
4.2. IMPLICIT TIME INTEGRATION METHOD 67 4.3. JACOBIANS*LINEARISATION 69
4.4. SOLUTION OF THE LINEAR SYSTEM OF EQUATIONS 71 4.4.1. KRYLOV
SUBSPACE ITERATIVE SOLVERS 72 4.4.1.1. GENERALISED MINIMAL RESIDUAL
(GMRES) METHOD . . . . 72 4.4.1.2. BICONJUGATE GRADIENT STABILISED
(BICGSTAB) METHOD . 73 4.4.1.3. PRECONDITIONING 73 5. PARALLELISATION 75
5.1. DOMAIN DECOMPOSITION 75 5.2. DATA STRUCTURES ; 75 5.3.
COMMUNICATION 76 6. RESULTS 79 6.1. INVISCID RESULTS 79 6.1.1. TORO S
TEST CASES 79 6.1.2 CONTENTS 6.2. VISCOUS RESULTS 96 6.2.1. LAMINAR
RESULTS 97 6.2.1.1. CONVERGENCE STUDY FOR THE NAVIER-STOKES EQUATIONS
... 97 6.2.1.2. CIRCULAR CYLINDER 99 6.2.1.3. FLAT PLATE 101 6.2.1.4.
NACA0012 104 6.2.2. TURBULENT COMPUTATIONS 108 6.2.2.1. FLAT PLATE (MA^
= 0.3, RE^ =* 3E6) 108 6.2.2.2. AEROSPATIALE-A AIRFOIL (MA^ = 0.15, A
*=* 3.4.RE.^ -= 3.13E6) 110 6.2.2.3. TURBULENCE MODEL LIMITING 117 6.3.
PARALLEL PERFORMANCE 119 7. CONCLUSIONS AND FUTURE PROSPECTS 121 7.1.
CONCLUSION 121 7.1.1. EULER EQUATIONS 121 7.1.2. NAVIER-STOKES EQUATIONS
121 7.1.3. REYNOLDS-AVERAGED NAVIER-STOKES 122 7.1.3.1. WILCOX K-UJ
MODEL 122 7.1.3.2. SPALART-ALLMARAS MODEL 123 7.1.4. PARALLEL EFFICIENCY
123 7.2. PROSPECTS 123 A. RESULTS 125 A.I. TOROS TEST CASES 125 B. BASIS
FUNCTIONS 129 B.I. LINE 129 B.2. TRIANGLE 129 B.3. QUADRILATERAL 130
B.4. TETRAHEDRON 131 C. QUADRATURE FORMULAS 133 C.I. LINE 133 C.2.
TRIANGLE AND QUADRILATERAL 133 D. CONVERGENCE ANALYSIS 135 D.I.
CONVERGENCE TABLES FOR THE HEAT EQUATION 136 D.I.I. LDG SCHEME 136
D.1.2. BR1 SCHEME 137 D.1.3 CONTENTS D.2.1.2. TRIANGLES 141 D.2.2. ROE
FLUX 142 D.2.2.1. QUADRILATERALS 142 D.2.2.2. TRIANGLES 144 E. NACA0012
AIRFOIL 147 BIBLIOGRAPHY 149 VI
|
| adam_txt |
CONTENTS SYMBOLS VII GREEK VII LATIN VIII SUPERSCRIPTS IX ABBREVIATIONS
XI ABSTRACT XIII ZUSAMMENFASSUNG XV 1. INTRODUCTION 1 1.1. DEMANDS ON
CFD METHODS 2 1.2. TRADITIONAL HIGHER-ORDER DISCRETISATIONS IN SPACE IN
CFD FOR AERODYNAMIC FLOWS 4 1.2.1. FINITE DIFFERENCE (FD) METHODS 5
1.2.2. FINITE VOLUME (FV) METHODS 5 1.2.3. FINITE ELEMENT (FE) METHODS 6
1.3. DISCONTINUOUS FINITE ELEMENT METHODS 7 1.4. MOTIVATION AND GOALS 9
2. GOVERNING AERODYNAMIC EQUATIONS 11 2.1. EULER EQUATIONS 11 2.2.
NAVIER-STOKES EQUATIONS 12 2.3. REYNOLDS-AVERAGED NAVIER-STOKES
EQUATIONS AND CLOSURE MODELS 13 2.3.1. REYNOLDS AND FAVRE AVERAGING 14
2.3.2. WILCOX K - AJ TURBULENCE MODEL 16 2.3.3. SPALART-ALLMARAS
TURBULENCE MODEL 18 2.4. NONDIMENSIONAL FORM OF EQUATIONS 20 3.
DISCONTINUOUS GALERKIN DISCRETISATION IN SPACE 25 3.1. FORMULATION FOR
THE EULER EQUATIONS 25 3.2. FORMULATION FOR THE NAVIER-STOKES EQUATIONS
29 3.2.1. MODEL PROBLEM 29 3.2.2. MIXED DISCONTINUOUS GALERKIN
FORMULATION FOR THE NS EQUATIONS . 36 UI BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/988422433 DIGITALISIERT DURCH CONTENTS 3.2.3. BR1 AND
LOCAL DG METHOD 38 3.2.4. SECOND BASSI-REBAY METHOD (BR2) 38 3.3.
TURBULENCE MODELING 40 3.3.1. DISCRETISATION OF THE RANS EQUATIONS 40
3.3.2. LIMITING 42 3.3.3. WALL DISTANCE 45 3.4. BOUNDARY CONDITIONS 46
3.4.1. FARFIELD 47 3.4.2. NO-SLIP WALL 47 3.4.3. SLIP WALL 48 3.4.4.
EXTRAPOLATION 48 3.5. ELEMENTS AND BASIS FUNCTIONS 49 3.5.1.
TRANSFORMATION TO COMPUTATIONAL SPACE 49 3.5.2. GAUSSIAN INTEGRATION IN
THE COMPUTATIONAL SPACE 51 3.5.3. LINE ELEMENTS 52 3.5.4. TRIANGULAR AND
QUADRILATERAL ELEMENTS 52 3.5.5. MASS MATRICES 54 3.6. HIGH-ORDER
BOUNDARIES 54 3.6.1. BOUNDARY REPRESENTATION 56 3.6.2. TRANSFORMATION 60
4. TIME INTEGRATION METHOD 65 4.1. EXPLICIT TIME INTEGRATION METHOD 66
4.2. IMPLICIT TIME INTEGRATION METHOD 67 4.3. JACOBIANS*LINEARISATION 69
4.4. SOLUTION OF THE LINEAR SYSTEM OF EQUATIONS 71 4.4.1. KRYLOV
SUBSPACE ITERATIVE SOLVERS 72 4.4.1.1. GENERALISED MINIMAL RESIDUAL
(GMRES) METHOD . . . . 72 4.4.1.2. BICONJUGATE GRADIENT STABILISED
(BICGSTAB) METHOD . 73 4.4.1.3. PRECONDITIONING 73 5. PARALLELISATION 75
5.1. DOMAIN DECOMPOSITION 75 5.2. DATA STRUCTURES ; 75 5.3.
COMMUNICATION 76 6. RESULTS 79 6.1. INVISCID RESULTS 79 6.1.1. TORO'S
TEST CASES 79 6.1.2 CONTENTS 6.2. VISCOUS RESULTS 96 6.2.1. LAMINAR
RESULTS 97 6.2.1.1. CONVERGENCE STUDY FOR THE NAVIER-STOKES EQUATIONS
. 97 6.2.1.2. CIRCULAR CYLINDER 99 6.2.1.3. FLAT PLATE 101 6.2.1.4.
NACA0012 104 6.2.2. TURBULENT COMPUTATIONS 108 6.2.2.1. FLAT PLATE (MA^
= 0.3, RE^ =* 3E6) 108 6.2.2.2. AEROSPATIALE-A AIRFOIL (MA^ = 0.15, A
*=* 3.4.RE.^ -= 3.13E6) 110 6.2.2.3. TURBULENCE MODEL LIMITING 117 6.3.
PARALLEL PERFORMANCE 119 7. CONCLUSIONS AND FUTURE PROSPECTS 121 7.1.
CONCLUSION 121 7.1.1. EULER EQUATIONS 121 7.1.2. NAVIER-STOKES EQUATIONS
121 7.1.3. REYNOLDS-AVERAGED NAVIER-STOKES 122 7.1.3.1. WILCOX K-UJ
MODEL 122 7.1.3.2. SPALART-ALLMARAS MODEL 123 7.1.4. PARALLEL EFFICIENCY
123 7.2. PROSPECTS 123 A. RESULTS 125 A.I. TOROS TEST CASES 125 B. BASIS
FUNCTIONS 129 B.I. LINE 129 B.2. TRIANGLE 129 B.3. QUADRILATERAL 130
B.4. TETRAHEDRON 131 C. QUADRATURE FORMULAS 133 C.I. LINE 133 C.2.
TRIANGLE AND QUADRILATERAL 133 D. CONVERGENCE ANALYSIS 135 D.I.
CONVERGENCE TABLES FOR THE HEAT EQUATION 136 D.I.I. LDG SCHEME 136
D.1.2. BR1 SCHEME 137 D.1.3 CONTENTS D.2.1.2. TRIANGLES 141 D.2.2. ROE
FLUX 142 D.2.2.1. QUADRILATERALS 142 D.2.2.2. TRIANGLES 144 E. NACA0012
AIRFOIL 147 BIBLIOGRAPHY 149 VI |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV023317865 |
| illustrated | Illustrated |
| index_date | 2024-07-02T20:52:41Z |
| indexdate | 2024-07-09T21:15:44Z |
| institution | BVB |
| isbn | 9783899637342 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016502003 |
| oclc_num | 238959078 |
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| owner | DE-12 DE-91G DE-BY-TUM |
| owner_facet | DE-12 DE-91G DE-BY-TUM |
| physical | 159 S. graph. Darst. 210 mm x 148 mm, 400 gr. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Hut |
| record_format | marc |
| series2 | Luftfahrt |
| spelling | Landmann, Björn Verfasser aut A parallel discontinuous galerkin code for the navier-stokes and reynolds-averaged navier-stokes equations Bjoern Landmann 1. Aufl. München Hut 2008 159 S. graph. Darst. 210 mm x 148 mm, 400 gr. txt rdacontent n rdamedia nc rdacarrier Luftfahrt Zugl.: Stuttgart, Univ., Diss., 2007 Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Hydrodynamische Gleichungen (DE-588)4160905-0 gnd rswk-swf Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Numerische Strömungssimulation (DE-588)4690080-9 s Hydrodynamische Gleichungen (DE-588)4160905-0 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=016502003&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Landmann, Björn A parallel discontinuous galerkin code for the navier-stokes and reynolds-averaged navier-stokes equations Numerische Strömungssimulation (DE-588)4690080-9 gnd Hydrodynamische Gleichungen (DE-588)4160905-0 gnd Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 gnd |
| subject_GND | (DE-588)4690080-9 (DE-588)4160905-0 (DE-588)4588309-9 (DE-588)4113937-9 |
| title | A parallel discontinuous galerkin code for the navier-stokes and reynolds-averaged navier-stokes equations |
| title_auth | A parallel discontinuous galerkin code for the navier-stokes and reynolds-averaged navier-stokes equations |
| title_exact_search | A parallel discontinuous galerkin code for the navier-stokes and reynolds-averaged navier-stokes equations |
| title_exact_search_txtP | A parallel discontinuous galerkin code for the navier-stokes and reynolds-averaged navier-stokes equations |
| title_full | A parallel discontinuous galerkin code for the navier-stokes and reynolds-averaged navier-stokes equations Bjoern Landmann |
| title_fullStr | A parallel discontinuous galerkin code for the navier-stokes and reynolds-averaged navier-stokes equations Bjoern Landmann |
| title_full_unstemmed | A parallel discontinuous galerkin code for the navier-stokes and reynolds-averaged navier-stokes equations Bjoern Landmann |
| title_short | A parallel discontinuous galerkin code for the navier-stokes and reynolds-averaged navier-stokes equations |
| title_sort | a parallel discontinuous galerkin code for the navier stokes and reynolds averaged navier stokes equations |
| topic | Numerische Strömungssimulation (DE-588)4690080-9 gnd Hydrodynamische Gleichungen (DE-588)4160905-0 gnd Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 gnd |
| topic_facet | Numerische Strömungssimulation Hydrodynamische Gleichungen Diskontinuierliche Galerkin-Methode Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016502003&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT landmannbjorn aparalleldiscontinuousgalerkincodeforthenavierstokesandreynoldsaveragednavierstokesequations |