Large eddy simulation for compressible flows:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Springer
2009
|
| Schriftenreihe: | Scientific computation
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 276 S. Ill., graph. Darst. |
| ISBN: | 9789048128198 9789048128181 |
Internformat
MARC
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| 100 | 1 | |a Garnier, Eric |d 1959- |e Verfasser |0 (DE-588)1081048247 |4 aut | |
| 245 | 1 | 0 | |a Large eddy simulation for compressible flows |c E. Garnier ; N. Adams ; P. Sagaut |
| 264 | 1 | |a Dordrecht [u.a.] |b Springer |c 2009 | |
| 300 | |a IX, 276 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Scientific computation | |
| 650 | 7 | |a Tourbillons (mécanique des fluides) - Modèles mathématiques |2 ram | |
| 650 | 7 | |a Turbulence - Modèles mathématiques |2 ram | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Eddies |x Mathematical models | |
| 650 | 4 | |a Turbulence |x Mathematical models | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-017730273 | ||
Datensatz im Suchindex
| _version_ | 1804139374271528960 |
|---|---|
| adam_text | Contents
1
Introduction
............................................... 1
2
LES
Governing Equations
................................. 5
2.1
Preliminary Discussion
................................... 5
2.2
Governing Equations
..................................... 6
2.2.1
Fundamental Assumptions
.......................... 6
2.2.2
Conservative Formulation
.......................... 7
2.2.3
Alternative Formulations
........................... 9
2.3
Filtering Operator
....................................... 9
2.3.1
Definition
........................................ 10
2.3.2
Discrete Representation of Filters
................... 14
2.3.3
Filtering of Discontinuities
.......................... 16
2.3.4
Filter Associated to the Numerical Method
........... 18
2.3.5
Commutation Error
............................... 20
2.3.6
Favre Filtering
.................................... 20
2.3.7
Summary of the Different Type of Filters
............. 22
2.4
Formulation of the Filtered Governing Equations
............ 22
2.4.1
Enthalpy Formulation
.............................. 23
2.4.2
Temperature Formulation
.......................... 24
2.4.3
Pressure Formulation
.............................. 24
2.4.4
Entropy Formulation
.............................. 25
2.4.5
Filtered Total Energy Equations
.................... 26
2.4.6
Momentum Equations
............................. 29
2.4.7
Simplifying Assumptions
........................... 30
2.5
Additional Relations for
LES
of Compressible Flows
......... 33
2.5.1
Preservation of Original Symmetries
................. 33
2.5.2
Discontinuity Jump Relations for
LES
............... 35
2.5.3
Second Law of Thermodynamics
.................... 37
2.6
Model Construction
...................................... 38
2.6.1
Basic Hypothesis
.................................. 38
2.6.2
Modeling Strategies
................................ 39
E.
Garnier et
al.,
Large Eddy Simulation for Compressible Flows,
Scientific Computation,
©
Springer Science
+
Business Media B.V.
2009
Contents
Compressible Turbulence Dynamics
....................... 41
3.1
Scope and
Content
of This Chapter
........................ 41
3.2
Kovasznay Decomposition of Turbulent Fluctuations
......... 42
3.2.1
Kovasznay s Linear Decomposition
.................. 42
3.2.2
Weakly Nonlinear Kovasznay Decomposition
.......... 45
3.3
Statistical Description of Compressible Turbulence
........... 46
3.4
Shock-Turbulence Interaction
............................. 48
3.4.1
Introduction to the Linear Interaction Approximation
Theory
........................................... 48
3.4.2
Vortical Turbulence-Shock Interaction
................ 49
3.4.3
Mixed-Mode Turbulence-Shock Interaction
........... 57
3.4.4
Consequences for Subgrid Modeling
.................. 62
3.5
Different Regimes of
Isotropie
Compressible Turbulence
...... 64
3.5.1
Quasi-Isentropic-Turbulence Regime
................. 65
3.5.2
Nonlinear Subsonic Regime
......................... 71
3.5.3
Supersonic Regime
................................ 74
3.5.4
Consequences for Subgrid Modeling
.................. 75
Functional Modeling
....................................... 77
4.1
Basis of Functional Modeling
............................. 77
4.1.1
Phenomenology of Scale Interactions
................. 77
4.1.2
Basic Functional Modeling Hypothesis
............... 79
4.2
SGS Viscosity
........................................... 79
4.2.1
The Boussinesq Hypothesis
......................... 79
4.2.2
Smagorinsky Model
................................ 81
4.2.3
Structure Function Model
.......................... 82
4.2.4
Mixed Scale Model
................................ 82
4.3 Isotropie
Tensor Modeling
................................ 83
4.4
SGS Heat Flux
.......................................... 84
4.5
Modeling of the Subgrid Turbulent Dissipation Rate
......... 85
4.6
Improvement of SGS models
.............................. 85
4.6.1
Structural Sensors and Selective Models
.............. 85
4.6.2
Accentuation Technique and Filtered Models
.......... 87
4.6.3
High-Pass Filtered Eddy Viscosity
................... 88
4.6.4
Wall-Adapting Local Eddy-Viscosity Model
........... 88
4.6.5
Dynamic Procedure
................................ 89
4.6.6
Implicit Diffusion and the Implicit
LES
Concept
...... 93
Explicit Structural Modeling
.............................. 95
5.1
Motivation of Structural Modeling
......................... 95
5.2
Models Based on Deconvolution
........................... 97
5.2.1
Scale-Similarity Model
............................. 100
5.2.2
Approximate Deconvolution Model
.................. 103
5.2.3
Tensor-Diffusivity Model
........................... 105
5.3
Regularization Techniques
................................ 105
Contents
vii
5.3.1
Eddy-Viscosity Regularization
......................106
5.3.2
Relaxation Regularization
..........................109
5.3.3
Regularization by Explicit Filtering
..................
Ш
5.4
Multi-Scale Modeling of Subgrid-Scales
.....................113
5.4.1
Multi-Level Approaches
............................113
5.4.2
Stretched-Vortex Model
............................116
5.4.3
Variational Multi-Scale Model
.......................117
6
Relation Between SGS Model and Numerical
Discretization
..............................................119
6.1
Systematic Procedures for Nonlinear Error Analysis
..........119
6.1.1
Error Sources
.....................................119
6.1.2
Modified Differential Equation Analysis
..............121
6.1.3
Modified Differential Equation Analysis in Spectral
Space
............................................126
6.2
Implicit
LES
Approaches Based on Linear and Nonlinear
Discretization Schemes
...................................129
6.2.1
The Volume Balance Procedure of Schumamm
........129
6.2.2
The Kawamura-Kuwahara Scheme
...................130
6.2.3
The Piecewise-Parabolic Method
....................131
6.2.4
The Flux-Corrected-Transport Method
...............132
6.2.5
The MPDATA Method
.............................136
6.2.6
The Optimum Finite-Volume Scheme
................138
6.3
Implicit
LES
by Adaptive Local Deconvolution
..............140
6.3.1
Fundamental Concept of ALDM
.....................140
6.3.2
ALDM for the Incompressible Navier-Stokes Equations
. 143
6.3.3
ALDM for the Compressible Navier-Stokes Equations
.. 148
7
Boundary Conditions for Large-Eddy Simulation of
Compressible Flows
........................................155
7.1
Introduction
............................................155
7.2
Wall Modeling for Compressible
LES
.......................156
7.2.1
Statement of the Problem
..........................156
7.2.2
Wall Boundary Conditions in the Kovasznay
Decomposition Framework: an Insight
................156
7.2.3
Turbulent Boundary Layer: Vorticity and Temperature
Fields
............................................159
7.2.4
Turbulent Boundary Layer: Acoustic Field
............163
7.2.5
Consequences for the Development of Compressible
Wall Models
......................................169
7.2.6
Extension of Existing Wall Models for Incompressible
Flows
............................................
17°
7.3
Unsteady Turbulent Inflow Conditions for Compressible
LES
.. 172
7.3.1
Fundamentals
.....................................
172
7.3.2
Precursor Simulation: Advantages and Drawbacks
.....174
viii Contents
7.3.3
Extraction-Rescaling Techniques
....................175
7.3.4 Synthetic-Turbulence-Based Models..................179
8
Subsonic
Applications
with Compressibility Effects
........185
8.1
Homogeneous Turbulence
.................................185
8.1.1
Context
..........................................185
8.1.2
A Few Realizations
................................186
8.1.3
Influence of the Numerical Method
..................187
8.1.4
SGS Modeling
....................................190
8.2
Channel Flow
...........................................191
8.2.1
Context
..........................................191
8.2.2
A Few Realizations
................................191
8.2.3
Influence of the Numerical Method
..................192
8.2.4
Influence of the SGS Model
.........................194
8.3
Mixing Layer
...........................................195
8.3.1
Context
..........................................195
8.3.2
A Few Realizations
................................195
8.3.3
Influence of the Numerical Method
..................196
8.3.4
Influence of the SGS Model
.........................197
8.4
Boundary-Layer Flow
....................................198
8.4.1
Context
..........................................198
8.4.2
A Few Realizations
................................198
8.5
Jets
....................................................200
8.5.1
Context
..........................................200
8.5.2
A Few Realizations
................................201
8.5.3
Influence of the Numerical Method
..................202
8.5.4
Influence of the SGS Model
.........................204
8.5.5
Physical Analysis
..................................205
8.6
Flows over Cavities
......................................206
8.6.1
Context
..........................................206
8.6.2
A Few Realizations
................................206
8.6.3
Influence of the Numerical Method
..................207
8.6.4
Influence of the SGS Model
.........................208
8.6.5
Physical Analysis
..................................208
9
Supersonic Applications
...................................211
9.1
Homogeneous Turbulence
.................................211
9.2
Channel Flow
...........................................212
9.2.1
Context
..........................................212
9.2.2
A Few Realizations
................................212
9.2.3
Influence of the Numerical Method
..................213
9.2.4
Influence of the Grid Resolution
.....................214
9.2.5
Influence of the SGS Model
.........................215
9.3
Boundary Layers
........................................215
9.3.1
Context
..........................................215
Contents ix
9.3.2
A Few Realizations
................................216
9.3.3
Influence of the Numerical Method
..................216
9.3.4
Influence of the Grid Resolution
.....................217
9.3.5
SGS Modeling
....................................219
9.4
Jets
....................................................220
9.4.1
Context
..........................................220
9.4.2
A Few Realizations
................................220
9.4.3
Influence of the Numerical Method
..................221
9.4.4
Influence of the SGS Model
.........................221
9.4.5
Physical Analysis
..................................221
10
Supersonic Applications with Shock-Turbulence
Interaction
................................................223
10.1
Shock-Interaction with Homogeneous Turbulence
............224
10.1.1
Phenomenology of Shock-Interaction with
Homogeneous Turbulence
...........................224
10.1.2
LES
of Shock-Interaction with Homogeneous
Turbulence
.......................................228
10.2
Shock-Turbulence Interaction in Jets
.......................230
10.2.1
Phenomenology of Shock-Turbulence Interaction in
Jets
.............................................230
10.2.2
LES
of Shock-Turbulence Interaction in Jets
..........231
10.3
Shock-Turbulent-Boundary-Layer Interaction
...............233
10.3.1
Phenomenology of Shock-Turbulent-Boundary-Layer
Interaction
.......................................233
10.3.2
LES
of Compression-Ramp Configurations
............237
References
.....................................................255
Index
..........................................................273
|
| any_adam_object | 1 |
| author | Garnier, Eric 1959- Adams, Nikolaus Sagaut, Pierre 1967- |
| author_GND | (DE-588)1081048247 (DE-588)1049515781 |
| author_facet | Garnier, Eric 1959- Adams, Nikolaus Sagaut, Pierre 1967- |
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| author_sort | Garnier, Eric 1959- |
| author_variant | e g eg n a na p s ps |
| building | Verbundindex |
| bvnumber | BV035675934 |
| callnumber-first | T - Technology |
| callnumber-label | TA357 |
| callnumber-raw | TA357.5.T87 |
| callnumber-search | TA357.5.T87 |
| callnumber-sort | TA 3357.5 T87 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_tum | MTA 309f MTA 400f |
| ctrlnum | (OCoLC)495305080 (DE-599)DNB99398844X |
| dewey-full | 532.0527 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.052 7 |
| dewey-search | 532.052 7 |
| dewey-sort | 3532.052 17 |
| dewey-tens | 530 - Physics |
| discipline | Physik Geographie |
| format | Book |
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| id | DE-604.BV035675934 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:43:04Z |
| institution | BVB |
| isbn | 9789048128198 9789048128181 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017730273 |
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| physical | IX, 276 S. Ill., graph. Darst. |
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| record_format | marc |
| series2 | Scientific computation |
| spelling | Garnier, Eric 1959- Verfasser (DE-588)1081048247 aut Large eddy simulation for compressible flows E. Garnier ; N. Adams ; P. Sagaut Dordrecht [u.a.] Springer 2009 IX, 276 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Scientific computation Tourbillons (mécanique des fluides) - Modèles mathématiques ram Turbulence - Modèles mathématiques ram Mathematisches Modell Eddies Mathematical models Turbulence Mathematical models LES Strömung (DE-588)4315616-2 gnd rswk-swf Kompressible Strömung (DE-588)4032018-2 gnd rswk-swf Kompressible Strömung (DE-588)4032018-2 s LES Strömung (DE-588)4315616-2 s DE-604 Adams, Nikolaus Verfasser aut Sagaut, Pierre 1967- Verfasser (DE-588)1049515781 aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017730273&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Garnier, Eric 1959- Adams, Nikolaus Sagaut, Pierre 1967- Large eddy simulation for compressible flows Tourbillons (mécanique des fluides) - Modèles mathématiques ram Turbulence - Modèles mathématiques ram Mathematisches Modell Eddies Mathematical models Turbulence Mathematical models LES Strömung (DE-588)4315616-2 gnd Kompressible Strömung (DE-588)4032018-2 gnd |
| subject_GND | (DE-588)4315616-2 (DE-588)4032018-2 |
| title | Large eddy simulation for compressible flows |
| title_auth | Large eddy simulation for compressible flows |
| title_exact_search | Large eddy simulation for compressible flows |
| title_full | Large eddy simulation for compressible flows E. Garnier ; N. Adams ; P. Sagaut |
| title_fullStr | Large eddy simulation for compressible flows E. Garnier ; N. Adams ; P. Sagaut |
| title_full_unstemmed | Large eddy simulation for compressible flows E. Garnier ; N. Adams ; P. Sagaut |
| title_short | Large eddy simulation for compressible flows |
| title_sort | large eddy simulation for compressible flows |
| topic | Tourbillons (mécanique des fluides) - Modèles mathématiques ram Turbulence - Modèles mathématiques ram Mathematisches Modell Eddies Mathematical models Turbulence Mathematical models LES Strömung (DE-588)4315616-2 gnd Kompressible Strömung (DE-588)4032018-2 gnd |
| topic_facet | Tourbillons (mécanique des fluides) - Modèles mathématiques Turbulence - Modèles mathématiques Mathematisches Modell Eddies Mathematical models Turbulence Mathematical models LES Strömung Kompressible Strömung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017730273&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT garniereric largeeddysimulationforcompressibleflows AT adamsnikolaus largeeddysimulationforcompressibleflows AT sagautpierre largeeddysimulationforcompressibleflows |