Introduction to computational fluid dynamics: development, application and analysis
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| Format: | Book |
| Language: | English |
| Published: |
Chichester, West Sussex, United Kingdom
Wiley
[2017]
London Athena Academic [2017] |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | xvii, 393 Seiten Illustrationen, Diagramme |
| ISBN: | 9781119002994 |
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| 245 | 1 | 0 | |a Introduction to computational fluid dynamics |b development, application and analysis |c Dr. Atul Sharma, Professor, Deptt. of Mech. Engineering, IIT Bombay |
| 246 | 1 | 3 | |a CFD |
| 264 | 1 | |a Chichester, West Sussex, United Kingdom |b Wiley |c [2017] | |
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| adam_text | Contents
i Introduction and Essentials
O
/ r Chapter 2. ^ r Chapter 3. ^ ^ Chapter 4. ^
Chapter 1.
Introduction Introduction to Essentials of Essentials of
CFD Development, Fluid-Dynamics Numerical-Methods
Application and Heat-Transfer for CFD
V J ^ Analysis ^ ^ for CFD j ___
A
1
1 Introduction 3
1.1 CFD: What is it?.................................... 3
1.1.1 CFD as a Scientific and Engineering Analysis
Tool.......................................... 5
1.1.2 Analogy with a Video-Camera ................ 13
1.2 CFD: Why to study? ................................ 15
1.3 Novelty, Scope, and Purpose of this Book........... 16
2 Introduction to CFD: Development, Application, and
Analysis 23
2.1 CFD Development......................................23
2.1.1 Grid Generation: Pre-Processor................24
2.1.2 Discretization Method: Algebraic Formulation . 26
2.1.3 Solution Methodology: Solver.................29
2.1.4 Computation of Engineering-Parameters:
Post-Processor................................34
2.1.5 Testing ......................................35
2.2 CFD Application......................................35
2.3 CFD Analysis.........................................38
2.4 Closure..............................................39
Xlll
XIV
Contents
3 Essentials of Fluid-Dynamics and Heat-Transfer for
CFD 41
3.1 Physical Laws ......................................42
3.1.1 Fundamental/Conservation Laws..................43
3.1.2 Subsidiary Laws................................45
3.2 Momentum and Energy Transport Mechanisms............46
3.3 Physical Law based Differential Formulation.........48
3.3.1 Continuity Equation ...........................49
3.3.2 Transport Equation............................ 51
3.4 Generalized Volumetric and Flux Terms, and their Dif-
ferential Formulation......................................57
3.4.1 Volumetric Term................................58
3.4.2 Flux-Term .....................................58
3.4.3 Discussion.....................................62
3.5 Mathematical Formulation..............................63
3.5.1 Dimensional Study .............................63
3.5.2 Non-Dimensional Study .........................67
3.6 Closure.............................................. 71
4 Essentials of Numerical-Methods for CFD 73
4.1 Finite Difference Method: A Differential to Algebraic
Formulation for Governing PDE and BCs.................75
4.1.1 Grid Generation............................... 75
4.1.2 Finite Difference Method ......................78
4.1.3 Applications to CFD........................... 92
4.2 Iterative Solution of System of LAEs for a Flow Property 93
4.2.1 Iterative Methods..............................94
4.2.2 Applications to CFD............................98
4.3 Numerical Differentiation for Local Engineering-
Parameters ..........................................105
4.3.1 Differentiation Formulas......................106
4.3.2 Applications to CFD...........................107
4.4 Numerical Integration for the Total value of
Engineering-Parameters...............................110
4.4.1 Integration Rules ............................Ill
4.4.2 Applications to CFD...........................114
4.5 Closure..............................................116
Problems..................................................116
Introduction to CFD
XV
il CFD for a Cartesian-Geometry
D
Chapter 5. ^ r Chapter 6. S r Chapter 7. ^ Chapter 8. chapter 9. Chapter 10?
Computational Computational Computational CFD: CFD on a CFD on a
Heat Heat Heat Physical Staggered Co-located
Conduction Advection Convection Law based Grid Grid
v֊ J . FVM .. V..........
119
5 Computational Heat Conduction 121
5.1 Physical Law based Finite Volume Method ...........122
5.1.1 Energy Conservation Law for a Control Volume 123
5.1.2 Algebraic Formulation ......................124
5.1.3 Approximations..............................127
5.1.4 Approximated Algebraic-Formulation..........130
5.1.5 Discussion..................................133
5.2 Finite Difference Method for Boundary Conditions . . 138
5.3 Flux based Solution Methodology on a Uniform Grid:
Explicit-Method ...................................139
5.3.1 One-Dimensional Conduction..................139
5.3.2 Two-Dimensional Conduction..................147
5.4 Coefficients of LAEs based Solution Methodology on a
Non-Uniform Grid: Explicit and Implicit Method .... 154
5.4.1 One-Dimensional Conduction..................154
5.4.2 Two-Dimensional Conduction..................166
Problems................................................176
6 Computational Heat Advection 179
6.1 Physical Law based Finite Volume Method............180
6.1.1 Energy Conservation Law for a Control Volume 181
6.1.2 Algebraic Formulation.......................181
6.1.3 Approximations..............................183
6.1.4 Approximated Algebraic Formulation..........191
6.1.5 Discussion..................................191
6.2 Flux based Solution Methodology on a Uniform Grid:
Explicit-Method ...................................194
6.2.1 Explicit-Method.............................197
6.2.2 Implementation Details .....................198
6.2.3 Solution Algorithm..........................199
6.3 Coefficients of LAEs based Solution Methodology on a
Non-Uniform Grid: Explicit and Implicit Method . . . 207
6.3.1 Advection Scheme on a Non-Uniform Grid . . . 207
6.3.2 Explicit and Implicit Method................210
6.3.3 Implementation Details .....................216
6.3.4 Solution Algorithm..........................220
Problems................................................228
xvi
Contents
7 Computational Heat Convection 229
7.1 Physical Law based Finite Volume Method...........229
7.1.1 Energy Conservation Law for a Control Volume 229
7.1.2 Algebraic Formulation ......................231
7.1.3 Approximated Algebraic Formulation..........232
7.2 Flux based Solution Methodology on a Uniform Grid:
Explicit-Method ..................................235
7.2.1 Explicit-Method.............................236
7.2.2 Implementation Details ...................237
7.2.3 Solution Algorithm..........................238
7.3 Coefficients of LAEs based Solution Methodology on a
Non-Uniform Grid: Explicit and Implicit Method . . . 242
Problems...........................................248
8 Computational Fluid Dynamics: Physical Law based
Finite Volume Method 251
8.1 Generalized Variables for the Combined Heat and
Fluid Flow........................................252
8.2 Conservation Laws for a Control Volume............255
8.3 Algebraic Formulation.............................259
8.4 Approximations....................................260
8.5 Approximated Algebraic Formulation................263
8.5.1 Mass Conservation...........................263
8.5.2 Momentum/Energy Conservation ...............264
8.6 Closure...........................................269
9 Computational Fluid Dynamics on a Staggered Grid 271
9.1 Challenges in the CFD Development.................273
9.1.1 Non-Linearity ..............................273
9.1.2 Equation for Pressure.......................273
9.1.3 Pressure-Velocity Decoupling ...............273
9.2 A Staggered Grid to avoid Pressure-Velocity Decoupling275
9.3 Physical Law based FVM for a Staggered Grid.......277
9.4 Flux based Solution Methodology on a Uniform Grid:
Semi-Explicit Method..............................281
9.4.1 Philosophy of Pressure-Correction Method . . . 283
9.4.2 Semi-Explicit Method........................286
9.4.3 Implementation Details .....................292
9.4.4 Solution Algorithm..........................298
9.5 Initial and Boundary Conditions...................300
9.5.1 Initial Condition...........................300
9.5.2 Boundary Condition..........................301
Problems...............................................306
Introduction to CFD
XVJl
10 Computational Fluid Dynamics on a Co-located Grid309
10.1 Momentum-Interpolation Method: Strategy to avoid
the Pressure-Velocity Decoupling on a Co-located Grid 310
10.2 Coefficients of LAEs based Solution Methodology on
a Non-Uniform Grid: Semi-Explicit and Semi-Implicit
Method.............................................314
10.2.1 Predictor Step..............................316
10.2.2 Corrector Step..............................318
10.2.3 Solution Algorithm..........................323
Problems...............................................329
in CFD for a Complex-Geometry
Chapter 11. ^ r Chapter 12. ^
Computational Computational
Heat Conduction on Fluid Dynamics on
a Curvilinear Grid a Curvilinear Grid
O
331
11 Computational Heat Conduction on a Curvilinear
Grid 333
11.1 Curvilinear Grid Generation........................333
11.1.1 Algebraic Grid Generation....................334
11.1.2 Elliptic Grid Generation.....................336
11.2 Physical Law based Finite Volume Method ...........343
11.2.1 Unsteady and Source Term ....................343
11.2.2 Diffusion Term...............................344
11.2.3 All Terms....................................349
11.3 Computation of Geometrical Properties..............349
11.4 Flux based Solution Methodology ...................352
11.4.1 Explicit Method..............................354
11.4.2 Implementation Details ......................354
Problems...............................................359
12 Computational Fluid Dynamics on a Curvilinear Grid361
12.1 Physical Law based Finite Volume Method.............361
12.1.1 Mass Conservation............................363
12.1.2 Momentum Conservation........................363
12.2 Solution Methodology: Semi-Explicit Method..........372
12.2.1 Predictor Step...............................373
12.2.2 Corrector Step...............................375
Problems.................................................380
References 383
Index 389
About ttto Bbok This book is primarily for a first one-semester course on CFD; in mechanical,
chemical, and aeronautical engineering. Almost all the existing books on CFO assume knowledge of
mathematics in general and differential calculus as well as numerical methods in particular; thus, limiting
the rejadership mostly to the postgraduate curriculum. In this book, an attempt is made to simplify the
subject even for readers who have little or no experience in CFD, and without prior knowledge of fluid-
dynamics, heat-transfer and numerical-methods. The major emphasis is on simplification of the
mathematics involved by presenting physical-law (instead of the traditional differential equations) based
algebraic-formulations, discussions, and solution-methodology.The physical law based simplified CFO
approach (proposed In this book for the first time) keeps the level of mathematics to school education,
and also allows the reader to intuitively get started with the computer-programming. Another
distinguishing feature of the present book is to effectively link the theory with the computer-program
(code). This is done with more pictorial as well as detailed explanation of the numerical methodology.
Furthermore, the present book is structured for a module-by-module code-development of the two-
dimensional numerical formulation; the codes are given for 20 heat conduction, advection and
convection. The present subject involves learning to develop and effectively use a product - a CFD
software. The details for the CFD development presented here Is the main part of a CFD software.
Furthermore, CFD application and analysis are presented by carefully designed example as well as
exercise problems; not only limited to fluid dynamics but also includes heat transfer. The reader is
trained for a job as CFD developer as well as CFD application engineer, and can also lead to start-ups on
the development of apps (customizedCFD software) for various engineering applications.
Contents Part 1: Introduction Essentials (1. Introduction, 2. Introduction to CFD, 3. Essentials of
Fluid-Dynamics Heat-Transfer, and 4. Essential of Numerical Methods). Part 2: CFD for a Cartesian
Geometry (5. Computational Heat Conduction (CHC), 6. Computational Heat Advection,
7. Computational Heat Convection, 8. CFD; Finite Volume Method, 9. CFD on a Staggered Grid, and
10. CFD on a Co-loorfted Grid).Part 3: CFD for a Complex Geometry (11. CHC and 12. CFD, on a
Curvilinear Grid). /
A! it the Author Dr. Atul Sharma is currently Professor in the Department of Mechanical
Engineering at Indian Institute of Technology (IIT) Bombay, with a teaching experience of more than
15 years. After completing his M E. from Indian Institute of Science, Bangalore, he worked as a Lecturer
at National Institute of Technology, Hamirpur (H.P.), where he Introduced and taught a course on CFD.
Later in 2004, he obtained his Ph.D. from IIT Kanpur; and worked on all the three aspects of CFD i.e
Development, Application and Analysis. He taught CFD through distance education mode (at Centre for
Distance Engineering Education Programme, IIT Bombay), from 2007-2010. He also delivered a course
on CFD to more than 1400 collage teachers from different parts of INDIA in 2012, as a part of a project
under National Mission on Education. He is currently working*00 development of level set based
numerical methodology - for simulation and analysis of various types of multi-phase flow and fluid-
structure interaction problems. He was a CFD consultant (2010-2014) for Global R D, Crompton
Greaves Limited, Mumbai. He is serving as Secretary, National Society of Fluid Mechanics and Fluid
Power, since December 2014. He has close to 50 international journal publications and graduated
7 Ph.D. students so far.
ÖÖ
Athena Wiley
A C A I) I· M I
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| spelling | Sharma, Atul Verfasser (DE-588)1074163729 aut Introduction to computational fluid dynamics development, application and analysis Dr. Atul Sharma, Professor, Deptt. of Mech. Engineering, IIT Bombay CFD Chichester, West Sussex, United Kingdom Wiley [2017] London Athena Academic [2017] xvii, 393 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Computational fluid dynamics Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 s DE-604 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=029775612&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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=029775612&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Sharma, Atul Introduction to computational fluid dynamics development, application and analysis Computational fluid dynamics Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| subject_GND | (DE-588)4690080-9 |
| title | Introduction to computational fluid dynamics development, application and analysis |
| title_alt | CFD |
| title_auth | Introduction to computational fluid dynamics development, application and analysis |
| title_exact_search | Introduction to computational fluid dynamics development, application and analysis |
| title_full | Introduction to computational fluid dynamics development, application and analysis Dr. Atul Sharma, Professor, Deptt. of Mech. Engineering, IIT Bombay |
| title_fullStr | Introduction to computational fluid dynamics development, application and analysis Dr. Atul Sharma, Professor, Deptt. of Mech. Engineering, IIT Bombay |
| title_full_unstemmed | Introduction to computational fluid dynamics development, application and analysis Dr. Atul Sharma, Professor, Deptt. of Mech. Engineering, IIT Bombay |
| title_short | Introduction to computational fluid dynamics |
| title_sort | introduction to computational fluid dynamics development application and analysis |
| title_sub | development, application and analysis |
| topic | Computational fluid dynamics Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| topic_facet | Computational fluid dynamics Numerische Strömungssimulation |
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