Turbulence Modeling by a Projection-Based Variational Multiscale Method for Incompressible Flow Problems
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
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Der Andere Verlag
2011
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| 245 | 1 | 0 | |a Turbulence Modeling by a Projection-Based Variational Multiscale Method for Incompressible Flow Problems |c Lars Röhe |
| 264 | 1 | |a Tönning |b Der Andere Verlag |c 2011 | |
| 300 | |a 202 S. |b 46 Abb., davon 2 in Farbe; 5 Tabellen |c 210 mm x 150 mm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Zugl.: Universität Göttingen, Diss., 2011 | ||
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Datensatz im Suchindex
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| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION
FUNDAMENTALS OF TURBULENCE MODELING IN FEM 5
TURBULENCE MODELING 7
2.1 NAVIER-STOKES EQUATIONS AND TURBULENCE 7
2.2 TURBULENCE AND REPRESENTATION OF DIFFERENT LENGTH SCALES . .. 9 2.3
LARGE EDDY SIMULATION 12
2.4 VARIATIONAL MULTISCALE METHOD 16
DISCRETIZATION SCHEMES IN FINITE ELEMENTS 21
3.1 SPATIAL DISCRETIZATION AND THE FINITE ELEMENT METHOD 21 3.2 INF-SUP
STABLE ELEMENTS 27
3.3 TIME DISCRETIZATION 28
3.4 FE LIBRARY DEAL.II 30
II NUMERICAL ANALYSIS 31
4 DIVERGENCE PRESERVING INTERPOLATION OPERATORS 33
4.1 INTERPOLATION ON ISOTROPIE MESHES 34
4.2 CONSIDERATIONS ON THE ANISOTROPIE CASE 39
4.3 CONSTRUCTION OF THE OPERATOR 43
4.4 LOCAL INF-SUP CONDITION ON ANISOTROPIE QUADRILATERAL MESHES 52 4.5
ASSUMPTIONS ON THE MESH 57
5 MODIFIED PROJECTION-BASED VARIATIONAL MULTISCALE METHOD 59 5.1 GENERAL
CONSIDERATIONS AND SETTING 59
5.2 ASPECTS REGARDING IMPLEMENTATION 63
5.3 A PRIORI ERROR ANALYSIS 65
5.4 SPECIFICATION OF THE SUBGRID MODELS 80
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1014446058
DIGITALISIERT DURCH
IMAGE 2
IV CONTENTS
6 EXPLICITLY UNCOUPLED TURBULENCE MODELING 85
6.1 GENERAL CONSIDERATIONS AND SETTING 86
6.2 THE POSTPROCESSED VMS METHOD 89
6.3 COMPUTING THE PROJECTION 112
6.4 A COMPUTATIONALLY ATTRACTIVE VARIANT 114
III APPLICATIONS 117
7 DECAYING HOMOGENEOUS ISOTROPIE TURBULENCE 119 7.1 FEATURES AND SETUP
OF THE TEST CASE 119
7.2 CHOICE OF THE MODEL PARAMETERS 122
7.3 PRACTICAL JUSTIFICATION OF THEORETICAL PARAMETERS 125 7.4 NUMERICAL
RESULTS FOR THE EXPLICITLY UNCOUPLED VMS SCHEME . 134
8 CHANNEL FLOW 143
8.1 FEATURES AND SETUP OF THE TEST CASE 143
8.2 STATISTICS OF INTEREST AND POSTPROCESSING 152
8.3 NUMERICAL RESULTS 154
9 DISCUSSION AND CONCLUSION 171
IV APPENDIX 175
A MATHEMATICAL TOOLS AND NOTATIONS 177
A .I F U N C T I ON S P A C ES A ND T H E IR P R O P E R T I ES 1 77
A .2 I M P O R T A NT O P E R A T O RS FOR P A R T I AL DIFFERENTIAL E Q
U A T I O NS . . .. 181
B IMPORTANT INEQUALITIES 185
B.I BASIC INEQUALITIES 185
B.2 GRONWALL INEQUALITY 187
B.3 KORN S INEQUALITY FOR PERIODIC FUNCTIONS 188
BIBLIOGRAPHY 191
|
| any_adam_object | 1 |
| author | Röhe, Lars 1983- |
| author_GND | (DE-588)1015895972 |
| author_facet | Röhe, Lars 1983- |
| author_role | aut |
| author_sort | Röhe, Lars 1983- |
| author_variant | l r lr |
| building | Verbundindex |
| bvnumber | BV039650989 |
| classification_rvk | UF 4300 |
| ctrlnum | (OCoLC)918120948 (DE-599)DNB1014446058 |
| dewey-full | 532.0527 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.0527 |
| dewey-search | 532.0527 |
| dewey-sort | 3532.0527 |
| dewey-tens | 530 - Physics |
| discipline | Physik Allgemeine Naturwissenschaft |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV039650989 |
| illustrated | Illustrated |
| indexdate | 2024-12-24T02:23:30Z |
| institution | BVB |
| isbn | 9783862471737 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024500665 |
| oclc_num | 918120948 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | 202 S. 46 Abb., davon 2 in Farbe; 5 Tabellen 210 mm x 150 mm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Der Andere Verlag |
| record_format | marc |
| spellingShingle | Röhe, Lars 1983- Turbulence Modeling by a Projection-Based Variational Multiscale Method for Incompressible Flow Problems Turbulente Strömung (DE-588)4117265-6 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Mehrskalenmodell (DE-588)7600619-0 gnd |
| subject_GND | (DE-588)4117265-6 (DE-588)4017233-8 (DE-588)7600619-0 (DE-588)4113937-9 |
| title | Turbulence Modeling by a Projection-Based Variational Multiscale Method for Incompressible Flow Problems |
| title_auth | Turbulence Modeling by a Projection-Based Variational Multiscale Method for Incompressible Flow Problems |
| title_exact_search | Turbulence Modeling by a Projection-Based Variational Multiscale Method for Incompressible Flow Problems |
| title_full | Turbulence Modeling by a Projection-Based Variational Multiscale Method for Incompressible Flow Problems Lars Röhe |
| title_fullStr | Turbulence Modeling by a Projection-Based Variational Multiscale Method for Incompressible Flow Problems Lars Röhe |
| title_full_unstemmed | Turbulence Modeling by a Projection-Based Variational Multiscale Method for Incompressible Flow Problems Lars Röhe |
| title_short | Turbulence Modeling by a Projection-Based Variational Multiscale Method for Incompressible Flow Problems |
| title_sort | turbulence modeling by a projection based variational multiscale method for incompressible flow problems |
| topic | Turbulente Strömung (DE-588)4117265-6 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Mehrskalenmodell (DE-588)7600619-0 gnd |
| topic_facet | Turbulente Strömung Finite-Elemente-Methode Mehrskalenmodell Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024500665&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT rohelars turbulencemodelingbyaprojectionbasedvariationalmultiscalemethodforincompressibleflowproblems |