Numerical simulation in fluid dynamics: a practical introduction
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia
SIAM
1998
|
| Series: | SIAM monographs on mathematical modeling and computation
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 217 S. graph. Darst. |
| ISBN: | 0898713986 9780898713985 |
Staff View
MARC
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| 240 | 1 | 0 | |a Numerische Simulation in der Strömungsmechanik |
| 245 | 1 | 0 | |a Numerical simulation in fluid dynamics |b a practical introduction |c Michael Griebel ; Thomas Dornseifer ; Tilman Neunhoeffer |
| 264 | 1 | |a Philadelphia |b SIAM |c 1998 | |
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| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
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| adam_text | Contents
Preface ix
Notation xiii
1 Numerical Simulation—a Key Technology of the Future 1
1.1 Physical Experiments, Mathematical Modeling,
and Numerical Simulation 1
1.2 Fluids and Flows 5
1.3 Numerical Flow Simulation 8
2 The Mathematical Description of Flows 11
2.1 The Mathematical Model: The Navier Stokes Equations 11
2.2 The Derivation of the Navier Stokes Equations 14
2.2.1 Conservation of Mass 15
2.2.2 Conservation of Momentum 16
2.3 Dynamic Similarity of Flows 17
3 The Numerical Treatment of the Navier—Stokes Equations 21
3.1 The Discretization 21
3.1.1 Simple Discretization Formulas 21
3.1.2 Discretization of the Navier Stokes Equations 26
3.2 The Algorithm 32
3.2.1 The Time Stepping Loop 32
3.2.2 The Discrete Momentum Equations 34
3.2.3 The Poisson Equation for the Pressure 35
3.2.4 The Stability Condition 39
3.2.5 Summary 39
3.3 Implementation 39
3.3.1 Problem Parameters and Data Structures 40
3.3.2 The Program 42
3.3.3 Guidelines for Modular Programming 43
3.4 Treatment of General Geometries 45
3.4.1 Introduction of Obstacle Domains 45
3.4.2 Implementation 48
4 Visualization Techniques 51
4.1 Standard Techniques 51
v
vi Contents
4.1.1 Real Valued Functions 51
4.1.2 Vector Valued Functions 52
4.1.3 Graphics Tools and Standards 53
4.1.4 Implementation 54
4.2 Flow Visualization by Particle Tracing and Streaklines 54
4.2.1 Interpolation of Velocities in a Staggered Grid 55
4.2.2 Implementation 57
4.3 Stream Function and Vorticity 60
4.3.1 Definition and Interpretation 60
4.3.2 Implementation 62
4.3.3 The Stream Function Vorticity Formulation of the Navier
Stokes Equations 63
5 Example Applications 67
5.1 Lid Driven Cavity 67
5.2 Flow over a Backward Facing Step 76
5.3 Flow Past an Obstacle 77
5.4 Pipe Junction 81
5.5 Flow through Complex Geometries 82
5.6 Fluid Structure Interaction 84
6 Free Boundary Value Problems 87
6.1 Determination of the Domain Shape 88
6.2 Conditions along the Free Boundary 90
6.3 The Extended Algorithm 97
6.4 Implementation 98
7 Example Applications for Free Boundary Value Problems 101
7.1 The Breaking Dam 101
7.2 The Splash of a Liquid Drop 101
7.3 Free Surface Flow over a Step 103
7.4 Injection Molding 104
7.5 Curtain Coating 105
8 Parallelization 109
8.1 Parallel Computers and Programming Environments 109
8.2 Domain Decomposition as a Parallelization Strategy 112
8.3 Parallelization of the Flow Code 113
8.4 Implementation on a Network of Workstations Using PVM .... 117
8.5 Measuring Performance 120
9 Energy Transport 123
9.1 Extending the Mathematical Model by the Energy Equation .... 123
9.2 Derivation of the Energy Equation 127
9.3 On the Validity of the Boussinesq Approximation 130
Contents vii
9.4 Discretization of the Energy Equation and Extension of the Algo¬
rithm 132
9.5 Implementation 135
9.6 Visualization of Heat Flow 136
9.7 Example Applications 138
9.7.1 Natural Convection with Heated Lateral Walls 138
9.7.2 Buoyancy Flow: Rayleigh Benard Convection 140
9.7.3 Fluid Trap 145
9.8 Chemical Transport 147
9.8.1 Modeling and Discretization 147
9.8.2 Implementation 148
9.8.3 Application Example 148
10 Turbulence 153
10.1 Turbulent Flows 153
10.2 Turbulence Modeling 155
10.2.1 Direct Numerical Simulation and Its Limitations 155
10.2.2 Basics of Turbulence Modeling 157
10.2.3 The k e Turbulence Model 160
10.2.4 Boundary Conditions for the k e Model 161
10.2.5 Overview of Other Turbulence Models 163
10.3 Discretization of the k e Model 164
10.4 Implementation 168
10.5 Numerical Results 169
11 Extension to Three Dimensions 173
11.1 The Continuous Equations 173
11.2 Discretization and Algorithm 174
11.3 Extensions and Modifications 176
11.4 Examples of Three Dimensional Simulations 177
11.4.1 Model Problems 177
11.4.2 Examples from Environmental Sciences, Architecture, and
Engineering 179
11.4.3 Examples of Free Boundary Value Problems 185
11.4.4 Examples of Temperature Driven Flows 187
12 Concluding Remarks 193
A Guidelines for Parallelization Using PVM 195
B Physical Properties of Fluids 199
Bibliography 201
Index 213
|
| any_adam_object | 1 |
| author | Griebel, Michael 1960- Dornseifer, Thomas Neunhoeffer, Tilman |
| author_GND | (DE-588)111660068 |
| author_facet | Griebel, Michael 1960- Dornseifer, Thomas Neunhoeffer, Tilman |
| author_role | aut aut aut |
| author_sort | Griebel, Michael 1960- |
| author_variant | m g mg t d td t n tn |
| building | Verbundindex |
| bvnumber | BV012178121 |
| classification_rvk | SK 920 UF 4000 |
| classification_tum | PHY 220f DAT 780f MAT 650f PHY 016f |
| ctrlnum | (OCoLC)312971562 (DE-599)BVBBV012178121 |
| dewey-full | 532/.05/0113 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.05/0113 |
| dewey-search | 532/.05/0113 |
| dewey-sort | 3532 15 3113 |
| dewey-tens | 530 - Physics |
| discipline | Physik Informatik Mathematik |
| format | Book |
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| id | DE-604.BV012178121 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:23:06Z |
| institution | BVB |
| isbn | 0898713986 9780898713985 |
| language | English |
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| physical | XVI, 217 S. graph. Darst. |
| publishDate | 1998 |
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| publisher | SIAM |
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| series2 | SIAM monographs on mathematical modeling and computation |
| spelling | Griebel, Michael 1960- Verfasser (DE-588)111660068 aut Numerische Simulation in der Strömungsmechanik Numerical simulation in fluid dynamics a practical introduction Michael Griebel ; Thomas Dornseifer ; Tilman Neunhoeffer Philadelphia SIAM 1998 XVI, 217 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier SIAM monographs on mathematical modeling and computation Simulation (DE-588)4055072-2 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 s Simulation (DE-588)4055072-2 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Dornseifer, Thomas Verfasser aut Neunhoeffer, Tilman Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008251827&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Griebel, Michael 1960- Dornseifer, Thomas Neunhoeffer, Tilman Numerical simulation in fluid dynamics a practical introduction Simulation (DE-588)4055072-2 gnd Strömungsmechanik (DE-588)4077970-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4055072-2 (DE-588)4077970-1 (DE-588)4128130-5 |
| title | Numerical simulation in fluid dynamics a practical introduction |
| title_alt | Numerische Simulation in der Strömungsmechanik |
| title_auth | Numerical simulation in fluid dynamics a practical introduction |
| title_exact_search | Numerical simulation in fluid dynamics a practical introduction |
| title_full | Numerical simulation in fluid dynamics a practical introduction Michael Griebel ; Thomas Dornseifer ; Tilman Neunhoeffer |
| title_fullStr | Numerical simulation in fluid dynamics a practical introduction Michael Griebel ; Thomas Dornseifer ; Tilman Neunhoeffer |
| title_full_unstemmed | Numerical simulation in fluid dynamics a practical introduction Michael Griebel ; Thomas Dornseifer ; Tilman Neunhoeffer |
| title_short | Numerical simulation in fluid dynamics |
| title_sort | numerical simulation in fluid dynamics a practical introduction |
| title_sub | a practical introduction |
| topic | Simulation (DE-588)4055072-2 gnd Strömungsmechanik (DE-588)4077970-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Simulation Strömungsmechanik Numerisches Verfahren |
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