Optimal modified continuous Galerkin CFD:
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Chichester
Wiley
2014
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XXIV, 550 S. Ill., graph. Darst. |
| ISBN: | 9781119940494 |
Staff View
MARC
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| 100 | 1 | |a Baker, Allen J. |d 1936- |e Verfasser |0 (DE-588)124829686 |4 aut | |
| 245 | 1 | 0 | |a Optimal modified continuous Galerkin CFD |c A. J. Baker |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Chichester |b Wiley |c 2014 | |
| 300 | |a XXIV, 550 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 7 | |a TECHNOLOGY & ENGINEERING / Drafting & Mechanical Drawing |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Numerical Analysis |2 bisacsh | |
| 650 | 4 | |a Fluid mechanics | |
| 650 | 4 | |a Finite element method | |
| 650 | 4 | |a Galerkin methods | |
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| 650 | 0 | 7 | |a Simulation |0 (DE-588)4055072-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Finite-Elemente-Methode |0 (DE-588)4017233-8 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-027330275 | ||
Record in the Search Index
| _version_ | 1804152233345941504 |
|---|---|
| adam_text | Contents
Preface
About the Author
xvü
Notations
1
Introduction
1
1.1
About This Book
1
Í.2
The Navier-Stokes Conservation Principles System
2
1.3
Navier-Stokes PDE System Manipulations
5
1
.4
Weak Form Overview
7
1
.5
A Brief History of Finite Element
СТО
9
1.6
A Brief Summary
1
1
References
12
2
Concepts, terminology, methodology
15
2.1
Overview
15
2.2
Steady
ΌΕ
Weak Form Completion
16
2.3
Steady D£ GWS^ Discrete FE Implementation
19
2.4
PDE Solutions, Classical Concepts
27
2.5
The Sturm-Liouville Equation, Orthogonality, Completeness
30
2.6
Classical Variational Calculus
33
2.7
Variational Calculus, Weak Form Duality
36
2.8
Quadratic Forms, Norms, Error Estimation
38
2.9
Theory Illustrations for Non-Smooth, Nonlinear Data
40
2.10
Matrix Algebra, Notation
44
2.11
Equation Solving, Linear Algebra
46
2.12
Krylov Sparse Matrix Solver Methodology
53
2.13
Summary
54
Exercises
54
References
56
3
Aerodynamics I: Potential flow, GWS* theory exposition,
transonic flow mPDE shock capturing
59
3.1
Aerodynamics, Weak Interaction
59
3.2
Navier-Stokes Manipulations for Aerodynamics
60
viii Contents
3.3
Steady Potential How GWS
62
3.4
Accuracy, Convergence, Mathematical Preliminaries
66
3.5
Accuracy, Galerkin Weak Form Optimality
68
3.6
Accuracy, GWS* Error Bound
71
3.7
Accuracy, GWS* Asymptotic Convergence
73
3.8
GWSA Natural Coordinate FE Basis Matrices
76
3.9
GWSA Tensor Product FE Basis Matrices
82
3.10
GWS* Comparison with Laplacian FD and FV Stencils
87
3.11
Post-Processing Pressure Distributions
90
3.12
Transonic Potential Flow, Shock Capturing
92
3.13
Summary
96
Exercises
98
References
99
4
Aerodynamics II: boundary layers, turbulence closure modeling,
parabolic Navier-Stokes
101
4.1
Aerodynamics, Weak Interaction Reprise
101
4.2
Navier-Stokes PDE System Reynolds Ordered
102
4.3
GWS
η
= 2
Laminar-Thermal Boundary Layer
104
4.4
GWSA
+
0TS
BL Matrix Iteration Algorithm
108
4.5
Accuracy, Convergence, Optimal Mesh Solutions 111
4.6
GWSft
+
9TS Solution Optimality, Data Influence
115
4.7
Time Averaged NS, Turbulent BL Formulation
116
4.8
Turbulent BLGWSA + 0TS, Accuracy, Convergence
120
4.9
GWSA+OTS BL Algorithm, TKE Closure Models
123
4.10
The Parabolic Navier-Stokes PDE System
129
4.11
G
WS* +
6TS Algorithm for
PNS PDE
System
134
4.12
GWSA
+
вТЅ
к =
1
NC
Basis
PNS
Algorithm
137
4.13
Weak Interaction
PNS
Algorithm Validation
141
4.14
Square Duct
PNS
Algorithm Validation
147
4.15
Summary
148
Exercises
155
References
157
5
The Navier-Stokes Equations: theoretical fundamentals; constraint,
spectral analyses, mPDE theory, optimal Galerkin weak forms
159
5.1
The Incompressible Navier-Stokes PDE System
159
5.2
Continuity Constraint, Exact Enforcement
160
5.3
Continuity Constraint, Inexact Enforcement
164
5.4
The CCM Pressure Projection Algorithm
166
5.5
Convective Transport, Phase Velocity
168
5.6
Convection-Diffusion, Phase Speed Characterization
170
5.7
Theory for Optimal
mGWS^ + OTS
Phase Accuracy
177
5.8
Optimally Phase Accurate wGWSA
+
8TS in
η
Dimensions
185
5.9
Theory for Optimal mGWSA Asymptotic Convergence
193
5.10
The Optimal wGWS*
+
0TS
k
= 1
Basis NS Algorithm
201
Contente
ix
5.11
Summary
203
Exercises
206
References
208
6
Vector Field Theory Implementations: vorticity-streamfunction,
vorticity-velocity formulations
211
6.1
Vector Field Theory
NS PDE
Manipulations
211
6.2
Vorticity-Streamfunction PDE System,
η
= 2 213
6.3
Vorticity-Streamfunction mGWSh Algorithm
214
6.4
Weak Form Theory Verification, GWSh/mGWSh
219
6.5
Vorticity-Velocity mGWSA Algorithm,
η
= 3 228
6.6
Vorticity-Velocity GWSA + 6TS Assessments,
η
s=3
233
6.7
Summary
243
Exercises
246
References
247
7
Classic State Variable Formulations:
G
WS/mG WSA
+
ΘΤδ
algorithms for
Navier-Stokes; accuracy, convergence, validation, BCs, radiation, ALE
formulation
249
7.1
Classic State Variable Navier-Stokes PDE System
249
7.2
NS Classic State Variable mPDE System
251
7.3
NS Classic State Variable
mGWS^ + eTS
Algorithm
252
7.4
NS WOWS 2
+
9TS Algorithm Discrete Formation
254
7.5
WOWS 1 + 9TS Algorithm Completion
258
7.6
WOWS 1
+
OTS Algorithm Benchmarks,
η
= 2 260
7.7
mGWSA
+
GTS Algorithm Validations,
η
= 3 268
7.8
Flow Bifurcation, Multiple Outflow Pressure BCs
282
7.9
Convection/Radiation BCs in GWSA + 0TS
283
7.10
Convection BCs Validation
288
7.11
Radiosity, GWS* Algorithm
295
7.12
Radiosity
ВС,
Accuracy, Convergence, Validation
298
7.13
ALE Thermo-Solid-Fluid-Mass Transport Algorithm
302
7.14
ALE GWS*
+
9TS Algorithm
LISI
Validation
304
7.15
Summary
310
Exercises
317
References
318
8
Time Averaged Navier-Stokes: mGWS*
+
GTS algorithm for RaNS,
Reynolds stress tensor closure models
319
8.1
Classic State Variable RaNS PDE System
319
8.2
RaNS PDE System Turbulence Closure
321
8.3
RaNS State Variable mPDE System
323
8.4
RaNS mGWS*
+
OTS Algorithm Matrix Statement
325
8.5
RaNS mGWSA
+
9TS Algorithm, Stability, Accuracy
331
8.6
RaNS Algorithm BCs for Conjugate Heat Transfer
337
8.7
RaNS Full Reynolds Stress Closure PDE System
341
χ
Contents
8.8
RSM Closure
mGWSA + eTS
Algorithm
345
8.9 RSM
Closure
Model
Validation
347
8.10 Geologie
Borehole Conjugate Heat Transfer
348
8.11
Summary
358
Exercises
363
References
364
9
Space Filtered Navier-Stokes: GWSA/mGWS*
+
6TS for space filtered
Navier-Stokes, modeled, analytical closure
365
9.1
Classic State Variable
LES PDE
System
365
9.2
Space Filtered NS PDE System
366
9.3
SGS Tensor Closure Modeling for
LES
368
9.4
Rational
LES
Theory Predictions
371
9.5
RLES Unresolved Scale
SFS
Tensor Models
376
9.6
Analytical
SFS
Tensor/Vector Closures
381
9.7
Auxiliary Problem Resolution Via Perturbation Theory
383
9.8
LES
Analytical Closure (arLES) Theory
386
9.9
arLES Theory mGWSft
+
OTS Algorithm
387
9.10
arLES Theory mGWSA
+
9TS Completion
391
9.11
arLES Theory Implementation Diagnostics
392
9.12
RLES Theory Turbulent BL Validation
403
9.13
Space Filtered NS PDE System on Bounded Domains
409
9.14
Space Filtered NS Bounded Domain BCs
410
9.15
ADBC Algorithm Validation, Space Filtered D£
412
9.16
arLES Theory Resolved Scale
ВСЕ
Integrals
420
9.17
Turbulent Resolved Scale Velocity
ВС
Optimal
ΩΑ-δ
423
9.18
Resolved Scale Velocity DBC Validation V Re
430
9.19
arLES
0(б2)
State Variable Bounded Domain BCs
430
9.20
Well-Posed arLES Theory
η
= 3
Validation
433
9.21
Well-Posed arLES Theory
η
= 3
Diagnostics
441
9.22
Summary
446
Exercises
455
References
456
10
Summary-WUQ: verification, validation, uncertainty quantification
459
10.1
Beyond Colorful Fluid Dynamics
459
10.2
Observations on Computational Reliability
460
10.3
Solving the Equations Right
461
10.4
Solving the Right Equations
464
10.5
Solving the Right Equations Without Modeling
466
10.6
Solving the Right Equations Well-Posed
468
10.7
Well-Posed Right Equations Optimal CFD
471
10.8
The Right Closing Caveat
473
References
474
Appendix A: Well-Posed arLES Theory PICMSS Template
475
Contents xi
Appendix
В:
Hypersonic Parabolic Navier-Stokes
483
B.I High Speed External Aerodynamics
483
B.2 Compressible Navier-Stokes PDE System
484
B.3 Parabolic Compressible RaNS PDE System
488
B.4 Compressible PRaNS wPDE System Closure
490
B.5 Bow Shock Fitting, PRaNS State Variable
1С 493
B.6 The PRaNS mGWSh + OTS Algorithm
496
B.7 PRaNS
mGWS* + 9TS
Algorithm Completion
501
B.8 PRaNS Algorithm
1С
Generation
505
B.9 PRaNS mGWS* + 9TS Algorithm Validation
507
B.10 Hypersonic Blunt Body Shock Trajectory
515
B.ll Shock Trajectory Characteristics Algorithm
521
B.I
2
Blunt Body PRaNS Algorithm Validation
523
B.13 Summary
527
Exercises
532
References
533
Author Index
535
Subject Index
541
|
| any_adam_object | 1 |
| author | Baker, Allen J. 1936- |
| author_GND | (DE-588)124829686 |
| author_facet | Baker, Allen J. 1936- |
| author_role | aut |
| author_sort | Baker, Allen J. 1936- |
| author_variant | a j b aj ajb |
| building | Verbundindex |
| bvnumber | BV041886260 |
| classification_rvk | SK 920 UF 4000 |
| ctrlnum | (OCoLC)899085829 (DE-599)BVBBV041886260 |
| dewey-full | 518/.63 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518/.63 |
| dewey-search | 518/.63 |
| dewey-sort | 3518 263 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| edition | 1. publ. |
| format | Electronic eBook |
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| id | DE-604.BV041886260 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:07:27Z |
| institution | BVB |
| isbn | 9781119940494 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027330275 |
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| physical | XXIV, 550 S. Ill., graph. Darst. |
| publishDate | 2014 |
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| publisher | Wiley |
| record_format | marc |
| spelling | Baker, Allen J. 1936- Verfasser (DE-588)124829686 aut Optimal modified continuous Galerkin CFD A. J. Baker 1. publ. Chichester Wiley 2014 XXIV, 550 S. Ill., graph. Darst. txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index TECHNOLOGY & ENGINEERING / Drafting & Mechanical Drawing bisacsh MATHEMATICS / Numerical Analysis bisacsh Fluid mechanics Finite element method Galerkin methods Galerkin-Methode (DE-588)4155831-5 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Simulation (DE-588)4055072-2 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s Galerkin-Methode (DE-588)4155831-5 s DE-604 Strömungsmechanik (DE-588)4077970-1 s Simulation (DE-588)4055072-2 s Numerisches Verfahren (DE-588)4128130-5 s Numerische Strömungssimulation (DE-588)4690080-9 s Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027330275&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baker, Allen J. 1936- Optimal modified continuous Galerkin CFD TECHNOLOGY & ENGINEERING / Drafting & Mechanical Drawing bisacsh MATHEMATICS / Numerical Analysis bisacsh Fluid mechanics Finite element method Galerkin methods Galerkin-Methode (DE-588)4155831-5 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Simulation (DE-588)4055072-2 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4155831-5 (DE-588)4690080-9 (DE-588)4128130-5 (DE-588)4055072-2 (DE-588)4017233-8 (DE-588)4077970-1 |
| title | Optimal modified continuous Galerkin CFD |
| title_auth | Optimal modified continuous Galerkin CFD |
| title_exact_search | Optimal modified continuous Galerkin CFD |
| title_full | Optimal modified continuous Galerkin CFD A. J. Baker |
| title_fullStr | Optimal modified continuous Galerkin CFD A. J. Baker |
| title_full_unstemmed | Optimal modified continuous Galerkin CFD A. J. Baker |
| title_short | Optimal modified continuous Galerkin CFD |
| title_sort | optimal modified continuous galerkin cfd |
| topic | TECHNOLOGY & ENGINEERING / Drafting & Mechanical Drawing bisacsh MATHEMATICS / Numerical Analysis bisacsh Fluid mechanics Finite element method Galerkin methods Galerkin-Methode (DE-588)4155831-5 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Simulation (DE-588)4055072-2 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | TECHNOLOGY & ENGINEERING / Drafting & Mechanical Drawing MATHEMATICS / Numerical Analysis Fluid mechanics Finite element method Galerkin methods Galerkin-Methode Numerische Strömungssimulation Numerisches Verfahren Simulation Finite-Elemente-Methode Strömungsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027330275&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bakerallenj optimalmodifiedcontinuousgalerkincfd |