Moving mesh methods and wall modelling for discontinuous galerkin schemes:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
München
Verlag Dr. Hut
2020
|
| Edition: | 1. Auflage |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xvi, 241 Seiten Illustrationen, Diagramme |
| ISBN: | 9783843946414 |
Staff View
MARC
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| 245 | 1 | 0 | |a Moving mesh methods and wall modelling for discontinuous galerkin schemes |c by Nico Krais, born in Nürtingen |
| 250 | |a 1. Auflage | ||
| 264 | 1 | |a München |b Verlag Dr. Hut |c 2020 | |
| 300 | |a xvi, 241 Seiten |b Illustrationen, Diagramme | ||
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| 502 | |b Dissertation |c University Stuttgart |d 2020 | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface iii
Symbols and abbreviations vii
Symbols ix
Abbreviations xi
Kurzfassung xiii
Abstract xv
1 Introduction 1
2 Governing equations 7
2 1 Navier—Stokes equations ‚ 7
211 Turbulence and the energy cascade 10
2 2 Simulation approaches 19
221 Direct numerical simulation 19
222 Large eddy simulation ‚ 21
223 Reynolds—averaged Navier-Stokes 33
2 3 Discussion 35
3 Discontinuous Galerkin spectral element methods on moving meshes 39
Arbitrary Lagrangian—Eulerian formulation 41
311 Basics of ALE formulation for ID conservation laws 42
312 ALE formulation in three dimensions 44
Discontinuous Galerkin spectral element ALE approximation 49
32 1 Spatial discretization 50
322 Time integration 67
323 Computation of the mesh velocity
324 Overview of the implementation
Validation of the DGSEM ALE approximation 75
331 Free stream preservation 75
332 Experimental convergence rates 80
Contents
vi
3 4 Stability and accuracy for under—resolved simulations 84
341 Sources and effects of errors 84
342 Aliasing errors 86
343 Accuracy of high-order discretizations for under—resolved
problems ‚ 87
344 Adding artificial viscosity 89
345 Consistent integration 90
346 Fulfilling additional balance laws 91
3 5 Entropy or kinetic energy stable DGSE approximation on moving
meshes 97
351 Split formulations of the advection terms ‚ 98
352 Summation—by—parts operator 99
353 Numerical volume flux functions 100
354 Split DG approximation 101
355 Approximations on moving meshes ‚ 104
356 Discrete treatment of viscous terms 108
3 6 Validation of split DGSEM on moving meshes 108
361 Free stream preservation 109
362 Experimental convergence rates 109
363 Entropy conservation and stability 112
364 Kinetic energy preservation 116
365 Influence of viscous terms 118
3 7 Parallel performance 120
3 8 Application to problems with moving domains 123
381 Oscillating cylinder ‚ 125
382 Transitional flow past a plunging airfoil 129
3 9 Summary 138
Fluid—structure interaction 139
4 1 Mesh deformation based on radial basis function interpolation 143
4 2 Coupling with structural solver ‚ 149
421 Structural model 151
422 Data mapping 153
423 Temporal coupling 156
4 3 Numerical validation 158
431 Setup 159
432 Results 161
4 4 Summary 163
5 Wall-modelling for Discontinuous Galerkin methods
5 1 Overview of wall-modelling approaches
511 Hybrid RANS/LES approaches
512 Wall-stress-models
6 Conclusion and outlook
A Two~point flux functions and dissipation terms
A 1 Flux function after Chandrashekar
A 2 Flux function after Pirozzoli
A 3 Flux function after Kennedy and Gruber
A 4 Flux function after Kuya Totani and Kawai
A 5 Flux function after Ranocha
A 6 Matrix dissipation terms by Winters
B Radial basis functions
C Derivatives of wall functions
D Periodic hill geometry
Bibliography
List of tables
List of figures
5 2 Equilibrium wall-model for DGSEM
521 General procedure
522 Implementation
5 3 Numerical examples
531 Channel flow
532 Periodic Hill
5 4 Summary
Conten ts
vii
|
| adam_txt |
Contents
Preface iii
Symbols and abbreviations vii
Symbols ix
Abbreviations xi
Kurzfassung xiii
Abstract xv
1 Introduction 1
2 Governing equations 7
2 1 Navier—Stokes equations ‚ 7
211 Turbulence and the energy cascade 10
2 2 Simulation approaches 19
221 Direct numerical simulation 19
222 Large eddy simulation ‚ 21
223 Reynolds—averaged Navier-Stokes 33
2 3 Discussion 35
3 Discontinuous Galerkin spectral element methods on moving meshes 39
Arbitrary Lagrangian—Eulerian formulation 41
311 Basics of ALE formulation for ID conservation laws 42
312 ALE formulation in three dimensions 44
Discontinuous Galerkin spectral element ALE approximation 49
32 1 Spatial discretization 50
322 Time integration 67
323 Computation of the mesh velocity
324 Overview of the implementation
Validation of the DGSEM ALE approximation 75
331 Free stream preservation 75
332 Experimental convergence rates 80
Contents
vi
3 4 Stability and accuracy for under—resolved simulations 84
341 Sources and effects of errors 84
342 Aliasing errors 86
343 Accuracy of high-order discretizations for under—resolved
problems ‚ 87
344 Adding artificial viscosity 89
345 Consistent integration 90
346 Fulfilling additional balance laws 91
3 5 Entropy or kinetic energy stable DGSE approximation on moving
meshes 97
351 Split formulations of the advection terms ‚ 98
352 Summation—by—parts operator 99
353 Numerical volume flux functions 100
354 Split DG approximation 101
355 Approximations on moving meshes ‚ 104
356 Discrete treatment of viscous terms 108
3 6 Validation of split DGSEM on moving meshes 108
361 Free stream preservation 109
362 Experimental convergence rates 109
363 Entropy conservation and stability 112
364 Kinetic energy preservation 116
365 Influence of viscous terms 118
3 7 Parallel performance 120
3 8 Application to problems with moving domains 123
381 Oscillating cylinder ‚ 125
382 Transitional flow past a plunging airfoil 129
3 9 Summary 138
Fluid—structure interaction 139
4 1 Mesh deformation based on radial basis function interpolation 143
4 2 Coupling with structural solver ‚ 149
421 Structural model 151
422 Data mapping 153
423 Temporal coupling 156
4 3 Numerical validation 158
431 Setup 159
432 Results 161
4 4 Summary 163
5 Wall-modelling for Discontinuous Galerkin methods
5 1 Overview of wall-modelling approaches
511 Hybrid RANS/LES approaches
512 Wall-stress-models
6 Conclusion and outlook
A Two~point flux functions and dissipation terms
A 1 Flux function after Chandrashekar
A 2 Flux function after Pirozzoli
A 3 Flux function after Kennedy and Gruber
A 4 Flux function after Kuya Totani and Kawai
A 5 Flux function after Ranocha
A 6 Matrix dissipation terms by Winters
B Radial basis functions
C Derivatives of wall functions
D Periodic hill geometry
Bibliography
List of tables
List of figures
5 2 Equilibrium wall-model for DGSEM
521 General procedure
522 Implementation
5 3 Numerical examples
531 Channel flow
532 Periodic Hill
5 4 Summary
Conten ts
vii |
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| discipline | Physik |
| discipline_str_mv | Physik |
| edition | 1. Auflage |
| format | Thesis Book |
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| illustrated | Illustrated |
| index_date | 2024-07-03T16:28:29Z |
| indexdate | 2024-07-10T09:03:09Z |
| institution | BVB |
| isbn | 9783843946414 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032524897 |
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| owner_facet | DE-12 DE-91 DE-BY-TUM DE-83 |
| physical | xvi, 241 Seiten Illustrationen, Diagramme |
| publishDate | 2020 |
| publishDateSearch | 2020 |
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| publisher | Verlag Dr. Hut |
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| spelling | Krais, Nico Verfasser (DE-588)1224913361 aut Moving mesh methods and wall modelling for discontinuous galerkin schemes by Nico Krais, born in Nürtingen 1. Auflage München Verlag Dr. Hut 2020 xvi, 241 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Dissertation University Stuttgart 2020 Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 s DE-604 Stuttgart (DE-588)4058282-6 gnd uvp HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032524897&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Krais, Nico Moving mesh methods and wall modelling for discontinuous galerkin schemes Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 gnd |
| subject_GND | (DE-588)4588309-9 (DE-588)4113937-9 |
| title | Moving mesh methods and wall modelling for discontinuous galerkin schemes |
| title_auth | Moving mesh methods and wall modelling for discontinuous galerkin schemes |
| title_exact_search | Moving mesh methods and wall modelling for discontinuous galerkin schemes |
| title_exact_search_txtP | Moving mesh methods and wall modelling for discontinuous galerkin schemes |
| title_full | Moving mesh methods and wall modelling for discontinuous galerkin schemes by Nico Krais, born in Nürtingen |
| title_fullStr | Moving mesh methods and wall modelling for discontinuous galerkin schemes by Nico Krais, born in Nürtingen |
| title_full_unstemmed | Moving mesh methods and wall modelling for discontinuous galerkin schemes by Nico Krais, born in Nürtingen |
| title_short | Moving mesh methods and wall modelling for discontinuous galerkin schemes |
| title_sort | moving mesh methods and wall modelling for discontinuous galerkin schemes |
| topic | Diskontinuierliche Galerkin-Methode (DE-588)4588309-9 gnd |
| topic_facet | Diskontinuierliche Galerkin-Methode Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032524897&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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