Introduction to computational fluid dynamics
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2009
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| Ausgabe: | 1. paperback ed. |
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| 245 | 1 | 0 | |a Introduction to computational fluid dynamics |c Anil W. Date |
| 250 | |a 1. paperback ed. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2009 | |
| 300 | |a XX, 377 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 500 | |a Literaturverz. S. 369-373 | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Fluid dynamics |x Mathematics |v Textbooks | |
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Datensatz im Suchindex
| DE-BY-UBR_call_number | 80/UF 4000 D232 |
|---|---|
| DE-BY-UBR_katkey | 4664561 |
| DE-BY-UBR_location | 80 |
| DE-BY-UBR_media_number | 069037289947 |
| _version_ | 1822738279522369536 |
| adam_text | Contents
Nomenclature
page
xiii
Preface
xvii
.....,,..1
1.1
CFD
Activity
1
1.2
Transport
Equations
2
1.3
Numerical Versus Analytical Solutions
5
1.4
Main Task
6
1.5
A Note on Navier-Stokes Equations
9
1.6
Outline of the Book
12
Exercises
13
2.
1D Heat Conduction
.........................
.......17
2.1
Introduction
17
2.2 1
D
Conduction Equation
17
2.3
Grid Layout
19
2.4
Discretisation
20
2.4.1
TSE Method
21
2.4.2
lOCV Method
23
2.5
Stability and Convergence
24
2.5.1
Explicit Procedure
ψ
= 0
25
2.5.2
Partially implicit Procedure
0 <
ψ
< 1
28
2.5.3
Implicit Procedure
ψ
— 1
29
2.6
Making Choices
31
2.7
Dealing with Nonlinearities
32
2.7.1
Nonlinear Sources
33
2.7.2
Nonlinear Coefficients
33
vti
viii
CONTENTS
2.7.3
Boundary Conditions
35
2.7.4
Underrelaxation
37
2.8
Methods of Solution
38
2.8.1
Gauss-Seidel Method
38
2.8.2
Tridiagonal Matrix Algorithm
38
2.8.3
Applications
40
2.9
Problems from Related Fields
45
Exercises
47
3. 1
D
Conduction—Convection
__..................
55
3.1
Introduction
55
3.2
Exact Solution
55
3.3
Discretisation
57
3.4
Upwind Difference Scheme
59
3.5
Comparison of CDS, UDS, and Exact Solution
60
3.6
Numerical False Diffusion
61
3.7
Hybrid and Power-Law Schemes
63
3.8
Total Variation Diminishing Scheme
63
3.9
Stability of the Unsteady Equation
65
3.9.1
Exact Solution
65
3.9.2
Explicit Finite-Difference Form
66
3.9.3
Implicit Finite-Difference Form
67
Exercises
68
4.
2D Boundary Lavers
............................,
71
4.1
Governing Equations
71
4.2
Adaptive Grid
73
4.3
Transformation to
(χ, ω)
Coordinates
74
4.4
Discretisation
76
4.5
Determination of
ω,
y,
and
r
79
4.6
Boundary Conditions
80
4.6.1
Symmetry
80
4.6.2
Wall
81
4.6.3
Free Stream
82
4.7
Source Terms
85
4.7.1
Pressure Gradient
85
4.7.2
Q and Rk
86
4.8
Treatment of Turbulent Flows
87
4.8.1
Mixing Length Model
88
4.8.2
e
-е
Model
89
4.8.3
Free-Shear Flows
91
CONTENTS ix
4.9 Overall
Procedure
91
4.9.1
Calculation Sequence
91
4.9.2
Initial Conditions
92
4.9.3
Choice of Step Size and Iterations
93
4.10
Applications
93
Exercises
101
5.
2D Convection
-
Cartesian Grids
................. 105
5.1
Introduction
105
5.1.1
Main Task
105
5.1.2
Solution Strategy
106
5.2
SIMPLE
-
Collocated Grids
109
5.2.1
Main Idea
109
5.2.2
Discretisation
110
5.2.3
Pressure-Correction Equation
112
5.2.4
Further Simplification
117
5.2.5
Overall Calculation Procedure
119
5.3
Method of Solution
120
5.3.1
Iterative Solvers
120
5.3.2
Evaluation of Residuals
121
5.3.3
Underrelaxation
122
5.3.4
Boundary Conditions for
Φ
123
5.3.5
Boundary Condition for p m
125
5.3.6
Node Tagging
126
5.4
Treatment of Turbulent Flows
128
5.4.1
LRE Model
128
5.4.2
HRE
Model
129
5.5
Notion of Smoothing Pressure Correction
133
5.6
Applications
139
Exercises
152
6.
2D Convection
-
Complex Domains
..............161
6.1
Introduction
161
6.1.1
Curvilinear Grids
161
6.1.2
Unstructured Grids
162
6.2
Curvilinear Grids
164
6.2.1
Coordinate Transformation
164
6.2.2
Transport Equation
165
6.2.3
Interpretation of Terms
166
6.2.4
Discretisation
168
6.2.5
Pressure-Correction Equation
170
CONTENTS
6.2.6 Overall
Calculation Procedure
171
6.2.7
Node Tagging and Boundary Conditions
172
6.3
Unstructured Meshes
174
6.3.1
Main Task
174
6.3.2
Gauss s Divergence Theorem
177
6.3.3
Construction of a Line Structure
179
6.3.4
Convective Transport
180
6.3.5
Diffusion Transport
181
6.3.6
Interim Discretised Equation
182
6.3.7
Interpolation of
Φ
at P2, E2, a, and
b
183
6.3.8
Final Discretised Equation
184
6.3.9
Evaluation of Nodal Gradients
186
6.3.10
Boundary Conditions
186
6.3.11
Pressure-Correction Equation
190
6.3.12
Method of Solution
192
6.3.13
Overall Calculation Procedure
193
6.4
Applications
194
6.5
Closure
207
Exercises
209
7.
Phase Change
.....................................214
7.1
Introduction
214
7.2 1
D
Problems for Pure Substances
216
7.2.1
Exact Solution
216
7.2.2
Simple Numerical Solution
217
7.2.3
Numerical Solution Using TDMA
221
7.2.4
Accurate Solutions on a Coarse Grid
222
7.3
1D Problems for Impure Substances
225
Exercises
230
8.
Numerical Grid Generation
.......................233
8.1
Introduction
233
8.2
Algebraic Grid Generation
233
8.2.1 1
D
Domains
233
8.2.2
2D Domains
234
8.3
Differential Grid Generation
235
8.3.1 1
D
Domains
235
8.3.2
2D Domains
237
8.3.3
Inversion of Determinant Equations
238
8.4
Sorenson s Method
241
8.4.1
Main Specifications
241
8.4.2
Stretching Functions
243
CONTENTS Xi
8.4.3
Discretisation
244
8.4.4
Solution Procedure
244
8.4.5
Applications
245
8.5
Unstructured Mesh Generation
248
8.5.1
Main Task
248
8.5.2
Domains with (i, j) Structure
249
8.5.3
Automatic Grid Generation
250
Exercises
253
9.
Convergence Enhancement
......................259
9.1
Convergence Rate
259
9.2
Block Correction
261
9.3
Method of Two Lines
262
9.4
Stone s Method
265
9.5
Applications
269
Exercises
272
Appendix A. Derivation of Transport Equations
273
Appendix B.
1
D
Conduction Code
284
Appendix C. 2D Cartesian Code
306
Bibliography
369
Index
375
|
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| discipline | Physik |
| edition | 1. paperback ed. |
| format | Book |
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| id | DE-604.BV036645552 |
| illustrated | Illustrated |
| indexdate | 2024-12-24T00:09:43Z |
| institution | BVB |
| isbn | 9780521140058 9780521853262 |
| language | English |
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| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | XX, 377 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spellingShingle | Date, Anil W. Introduction to computational fluid dynamics Mathematik Fluid dynamics Mathematics Textbooks Numerical analysis Textbooks Numerisches Verfahren (DE-588)4128130-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4077970-1 (DE-588)4690080-9 |
| title | Introduction to computational fluid dynamics |
| title_auth | Introduction to computational fluid dynamics |
| title_exact_search | Introduction to computational fluid dynamics |
| title_full | Introduction to computational fluid dynamics Anil W. Date |
| title_fullStr | Introduction to computational fluid dynamics Anil W. Date |
| title_full_unstemmed | Introduction to computational fluid dynamics Anil W. Date |
| title_short | Introduction to computational fluid dynamics |
| title_sort | introduction to computational fluid dynamics |
| topic | Mathematik Fluid dynamics Mathematics Textbooks Numerical analysis Textbooks Numerisches Verfahren (DE-588)4128130-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| topic_facet | Mathematik Fluid dynamics Mathematics Textbooks Numerical analysis Textbooks Numerisches Verfahren Strömungsmechanik Numerische Strömungssimulation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020565197&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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