Mathematics of large eddy simulation of turbulent flows
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| Hauptverfasser: | , , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2006
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| Schriftenreihe: | Scientific computation
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| 020 | |a 9783540263166 |9 978-3-540-26316-6 | ||
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| 100 | 1 | |a Berselli, Luigi C. |d 1972- |e Verfasser |0 (DE-588)130510912 |4 aut | |
| 245 | 1 | 0 | |a Mathematics of large eddy simulation of turbulent flows |c L. C. Berselli ; T. Iliescu ; W. J. Layton |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2006 | |
| 300 | |a XVII, 348 S. |b graph. Darst. |c 235 mm x 155 mm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Scientific computation | |
| 500 | |a Auch als Internetausgabe | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Eddies |x Mathematical models | |
| 650 | 4 | |a Turbulence |x Mathematical models | |
| 650 | 0 | 7 | |a LES |g Strömung |0 (DE-588)4315616-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Turbulente Strömung |0 (DE-588)4117265-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a LES |g Strömung |0 (DE-588)4315616-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Turbulente Strömung |0 (DE-588)4117265-6 |D s |
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Datensatz im Suchindex
| _version_ | 1819664910182776832 |
|---|---|
| adam_text | CONTENTS
PART
I
INTRODUCTION
1
INTRODUCTION
...............................................
3
1.1
CHARACTERISTICSOFTURBULENCE
.............................
6
1.2
WHATAREUSEFULAVERAGES?...............................
8
1.3
CONVENTIONALTURBULENCEMODELS
..........................
14
1.4
LARGEEDDYSIMULATION...................................
16
1.5
PROBLEMS
WITH
BOUNDARIES................................
17
1.6
THEINTERIORCLOSUREPROBLEMINLES
......................
18
1.7
EDDYVISCOSITYCLOSUREMODELSINLES.....................
20
1.8
CLOSURE
MODELS
BASED
ON
SYSTEMATIC
APPROXIMATION.........
22
1.9
MIXEDMODELS...........................................
25
1.10
NUMERICALVALIDATIONANDTESTINGINLES...................
26
2
THE
NAVIER-STOKES
EQUATIONS
..............................
29
2.1
ANINTRODUCTIONTOTHENSE
..............................
29
2.2
DERIVATIONOFTHENSE
...................................
32
2.3
BOUNDARY
CONDITIONS
....................................
36
2.4
AFEWRESULTSONTHEMATHEMATICSOFTHENSE..............
37
2.4.1
NOTATIONANDFUNCTIONSPACES
.....................
38
2.4.2
WEAKSOLUTIONSINTHESENSEOFLERAY-HOPF..........
42
2.4.3
THEENERGYBALANCE..............................
43
2.4.4
EXISTENCEOFWEAKSOLUTIONS
.......................
47
2.4.5
MOREREGULARSOLUTIONS
...........................
54
2.5
SOMEREMARKSONTHEEULEREQUATIONS.....................
62
2.6
THESTOCHASTICNAVIER-STOKESEQUATIONS....................
65
2.7
CONCLUSIONS.............................................
68
XIV
CONTENTS
PART
II
EDDY
VISCOSITY
MODELS
3
INTRODUCTION
TO
EDDY
VISCOSITY
MODELS
....................
71
3.1
INTRODUCTION............................................
71
3.2
EDDYVISCOSITYMODELS...................................
72
3.3
VARIATIONS
ON
THE
SMAGORINSKY
MODEL
......................
77
3.3.1
VANDRIESTDAMPING..............................
78
3.3.2
ALTERNATESCALINGS................................
78
3.3.3
MODELS
ACTING
ONLY
ON
THE
SMALLEST
RESOLVED
SCALES..
80
3.3.4
GERMANO SDYNAMICMODEL........................
80
3.4
MATHEMATICAL
PROPERTIES
OF
THE
SMAGORINSKY
MODEL..........
81
3.4.1
FURTHER
PROPERTIES
OF
MONOTONE
OPERATORS...........
93
3.5
BACKSCATTERANDTHEEDDYVISCOSITYMODELS.................102
3.6
CONCLUSIONS.............................................103
4
IMPROVED
EDDY
VISCOSITY
MODELS
..........................
105
4.1
INTRODUCTION............................................105
4.2
THEGAUSSIAN-LAPLACIANMODEL(GL)
......................111
4.2.1
MATHEMATICALPROPERTIES
..........................112
4.3
K
YY
YY
MODELING..........................................117
4.3.1
SELECTIVEMODELS
.................................118
4.4
CONCLUSIONS.............................................121
5
UNCERTAINTIES
IN
EDDY
VISCOSITY
MODELS
AND
IMPROVED
ESTIMATES
OF
TURBULENT
FLOW
FUNCTIONALS
.............................
123
5.1
INTRODUCTION............................................123
5.2
THE
SENSITIVITY
EQUATIONS
OF
EDDY
VISCOSITY
MODELS
.........124
5.2.1
CALCULATING
F
YY
=
YY
YYYY
F
..............................126
5.2.2
BOUNDARY
CONDITIONS
FOR
THE
SENSITIVITIES............127
5.3
IMPROVING
ESTIMATES
OF
FUNCTIONALS
OF
TURBULENT
QUANTITIES
..127
5.4
CONCLUSIONS:
ARE
U
AND
P
ENOUGH?
........................130
PART
III
ADVANCED
MODELS
6
BASIC
CRITERIA
FOR
SUBFILTER-SCALE
MODELING
.................
135
6.1
MODELING
THE
SUBFILTER-SCALE
STRESSES
.......................135
6.2
REQUIREMENTSFORASATISFACTORYCLOSUREMODEL..............136
CONTENTS
XV
7
CLOSURE
BASED
ON
WAVENUMBER
ASYMPTOTICS
...............
143
7.1
THEGRADIENT(TAYLOR)LESMODEL.........................145
7.1.1
DERIVATIONOFTHEGRADIENTLESMODEL
..............145
7.1.2
MATHEMATICAL
ANALYSIS
OF
THE
GRADIENT
LES
MODEL
...147
7.1.3
NUMERICALVALIDATIONANDTESTING
..................153
7.2
THERATIONALLESMODEL(RLES)
.........................154
7.2.1
MATHEMATICAL
ANALYSIS
FOR
THE
RATIONAL
LES
MODEL...157
7.2.2
ONTHEBREAKDOWNOFSTRONGSOLUTIONS..............170
7.2.3
NUMERICALVALIDATIONANDTESTING
..................177
7.3
THE
HIGHER-ORDER
SUBFILTER-SCALE
MODEL
(HOSFS)
............179
7.3.1
DERIVATIONOFTHEHOSFSMODEL....................179
7.3.2
MATHEMATICAL
ANALYSIS
OF
THE
HOSFS
MODEL.........181
7.3.3
NUMERICALVALIDATIONANDTESTING
..................188
7.4
CONCLUSIONS.............................................193
8
SCALE
SIMILARITY
MODELS
....................................
195
8.1
INTRODUCTION............................................195
8.1.1
THEBARDINAMODEL...............................195
8.2
OTHERSCALESIMILARITYMODELS.............................200
8.2.1
GERMANODYNAMICMODEL
.........................200
8.2.2
THEFILTEREDBARDINAMODEL
.......................200
8.2.3
THEMIXED-SCALESIMILARITYMODEL
..................201
8.3
RECENT
IDEAS
IN
SCALE
SIMILARITY
MODELS
....................201
8.4
THE
S
4
=SKEW-SYMMETRICSCALESIMILARITYMODEL
...........205
8.4.1
ANALYSISOFTHEMODEL.............................206
8.4.2
LIMIT
CONSISTENCY
AND
VERIFIABILITY
OF
THE
S
4
MODEL
..208
8.5
THEFIRSTENERGY-SPONGESCALESIMILARITYMODEL.............213
8.5.1
MOREACCURATE MODELS..........................217
8.6
THE
HIGHER
ORDER,
STOLZ-ADAMS
DECONVOLUTION
MODELS.......219
8.6.1
THEVANCITTERTAPPROXIMATIONS
...................220
8.7
CONCLUSIONS.............................................223
PART
IV
BOUNDARY
CONDITIONS
9
FILTERING
ON
BOUNDED
DOMAINS
............................
227
9.1
FILTERSWITHNONCONSTANTRADIUS
..........................229
9.1.1
DEFINITIONOFTHEFILTERING
.........................230
9.1.2
SOME
ESTIMATES
OF
THE
COMMUTATION
ERROR
..........234
9.2
FILTERSWITHCONSTANTRADIUS
.............................240
9.2.1
DERIVATION
OF
THE
BOUNDARY
COMMUTATION
ERROR(BCE).....................................241
9.2.2
ESTIMATESOFTHEBCE.............................246
9.2.3
ERROR
ESTIMATES
FOR
A
WEAK
FORM
OF
THE
BCE........249
9.2.4
NUMERICALAPPROXIMATIONOFTHEBCE
..............250
9.3
CONCLUSIONS.............................................251
XVI
CONTENTS
10
NEAR
WALL
MODELS
IN
LES
..................................
253
10.1
INTRODUCTION............................................253
10.2
WALL
LAWS
IN
CONVENTIONAL
TURBULENCE
MODELING
............254
10.3
CURRENTIDEASINNEARWALLMODELINGFORLES...............256
10.4
NEWPERSPECTIVESINNEARWALLMODELS.....................259
10.4.1
THE
1
/
7THPOWERLAWIN3D.......................261
10.4.2
THE
1
/N
THPOWERLAWIN3D.......................266
10.4.3
A
NEAR
WALL
MODEL
FOR
RECIRCULATING
FLOWS..........268
10.4.4
A
NWM
FOR
TIME-FLUCTUATING
QUANTITIES
............270
10.4.5
A
NWM
FOR
REATTACHMENT
AND
SEPARATION
POINTS
....271
10.5
CONCLUSIONS.............................................272
PART
V
NUMERICAL
TESTS
11
VARIATIONAL
APPROXIMATION
OF
LES
MODELS
.................
275
11.1
INTRODUCTION............................................275
11.2
LES
MODELS
AND
THEIR
VARIATIONAL
APPROXIMATION............276
11.2.1
VARIATIONALFORMULATION...........................277
11.3
EXAMPLESOFVARIATIONALMETHODS..........................281
11.3.1
SPECTRALMETHODS
................................281
11.3.2
FINITEELEMENTMETHODS...........................282
11.3.3
SPECTRALELEMENTMETHODS.........................282
11.4
NUMERICAL
ANALYSIS
OF
VARIATIONAL
APPROXIMATIONS...........282
11.5
INTRODUCTION
TO
VARIATIONAL
MULTISCALE
METHODS
(VMM)
......285
11.6
EDDYVISCOSITYACTINGONFLUCTUATIONSASAVMM...........289
11.7
CONCLUSIONS.............................................293
12
TEST
PROBLEMS
FOR
LES
....................................
295
12.1
GENERALCOMMENTS
......................................295
12.2
TURBULENTCHANNELFLOWS.................................296
12.2.1
COMPUTATIONALSETTING............................297
12.2.2
DEFINITION
OF
RE
YY
.................................298
12.2.3
INITIALCONDITIONS
................................300
12.2.4
STATISTICS........................................301
12.2.5
LESMODELSTESTED...............................303
12.2.6
NUMERICAL
METHOD
AND
NUMERICAL
SETTING
...........305
12.2.7
A
POSTERIORI
TESTS
FOR
RE
YY
=180...................307
12.2.8
A
POSTERIORI
TESTS
FOR
RE
YY
=395...................310
12.2.9
BACKSCATTER
IN
THE
RATIONAL
LES
MODEL
.............312
12.2.10
NUMERICALRESULTS................................315
12.2.11
SUMMARYOFRESULTS
..............................318
CONTENTS
XVII
12.3
A
FEW
REMARKS
ON
ISOTROPIC
HOMOGENEOUS
TURBULENCE
.......320
12.3.1
COMPUTATIONALSETTING............................321
12.3.2
INITIALCONDITIONS
................................322
12.3.3
EXPERIMENTALRESULTS.............................323
12.3.4
COMPUTATIONALCOST..............................323
12.3.5
LES
OF
THE
COMTE-BELLOT
CORRSIN
EXPERIMENT
........324
12.4
FINALREMARKS
..........................................324
REFERENCES
.....................................................
327
INDEX
..........................................................
345
|
| any_adam_object | 1 |
| author | Berselli, Luigi C. 1972- Iliescu, Traian Layton, William J. |
| author_GND | (DE-588)130510912 (DE-588)122385128 (DE-588)1020165960 |
| author_facet | Berselli, Luigi C. 1972- Iliescu, Traian Layton, William J. |
| author_role | aut aut aut |
| author_sort | Berselli, Luigi C. 1972- |
| author_variant | l c b lc lcb t i ti w j l wj wjl |
| building | Verbundindex |
| bvnumber | BV021236410 |
| 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_rvk | SK 950 |
| ctrlnum | (OCoLC)62229870 (DE-599)BVBBV021236410 |
| dewey-full | 532/.0527015118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.0527015118 |
| dewey-search | 532/.0527015118 |
| dewey-sort | 3532 9527015118 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV021236410 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T18:51:21Z |
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| language | English |
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| oclc_num | 62229870 |
| open_access_boolean | |
| owner | DE-824 DE-634 DE-188 |
| owner_facet | DE-824 DE-634 DE-188 |
| physical | XVII, 348 S. graph. Darst. 235 mm x 155 mm |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Springer |
| record_format | marc |
| series2 | Scientific computation |
| spellingShingle | Berselli, Luigi C. 1972- Iliescu, Traian Layton, William J. Mathematics of large eddy simulation of turbulent flows Mathematisches Modell Eddies Mathematical models Turbulence Mathematical models LES Strömung (DE-588)4315616-2 gnd Turbulente Strömung (DE-588)4117265-6 gnd |
| subject_GND | (DE-588)4315616-2 (DE-588)4117265-6 |
| title | Mathematics of large eddy simulation of turbulent flows |
| title_auth | Mathematics of large eddy simulation of turbulent flows |
| title_exact_search | Mathematics of large eddy simulation of turbulent flows |
| title_full | Mathematics of large eddy simulation of turbulent flows L. C. Berselli ; T. Iliescu ; W. J. Layton |
| title_fullStr | Mathematics of large eddy simulation of turbulent flows L. C. Berselli ; T. Iliescu ; W. J. Layton |
| title_full_unstemmed | Mathematics of large eddy simulation of turbulent flows L. C. Berselli ; T. Iliescu ; W. J. Layton |
| title_short | Mathematics of large eddy simulation of turbulent flows |
| title_sort | mathematics of large eddy simulation of turbulent flows |
| topic | Mathematisches Modell Eddies Mathematical models Turbulence Mathematical models LES Strömung (DE-588)4315616-2 gnd Turbulente Strömung (DE-588)4117265-6 gnd |
| topic_facet | Mathematisches Modell Eddies Mathematical models Turbulence Mathematical models LES Strömung Turbulente Strömung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=2647699&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014279169&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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