Computational methods for fluid dynamics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Springer
1996
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 356 S. Ill., graph. Darst. |
| ISBN: | 3540594345 |
Staff View
MARC
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| 100 | 1 | |a Ferziger, Joel H. |d 1937-2004 |e Verfasser |0 (DE-588)115525319 |4 aut | |
| 245 | 1 | 0 | |a Computational methods for fluid dynamics |c J. H. Ferziger ; M. Perić |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1996 | |
| 300 | |a XIV, 356 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Fluid dynamics |x Data processing | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007080562 | |
Record in the Search Index
| _version_ | 1816171154111463424 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
PREFACE
.
V
1.
BASIC
CONCEPTS
OF
FLUID
FLOW
.
1
1.1
INTRODUCTION
.
1
1.2
CONSERVATION
PRINCIPLES
.
3
1.3
MASS
CONSERVATION
.
4
1.4
MOMENTUM
CONSERVATION
.
5
1.5
CONSERVATION
OF
SCALAR
QUANTITIES
.
9
1.6
DIMENSIONLESS
FORM
OF
EQUATIONS
.
11
1.7
SIMPLIFIED
MATHEMATICAL
MODELS
.
12
1.7.1
INCOMPRESSIBLE
FLOW
.
12
1.7.2
INVISCID
(EULER)
FLOW
.
13
1.7.3
POTENTIAL
FLOW
.
13
1.7.4
CREEPING
(STOKES)
FLOW
.
14
1.7.5
BOUSSINESQ
APPROXIMATION
.
14
1.7.6
BOUNDARY
LAYER
APPROXIMATION
.
15
1.7.7
MODELING
OF
COMPLEX
FLOW
PHENOMENA
.
15
1.8
MATHEMATICAL
CLASSIFICATION
OF
FLOWS
.
16
1.8.1
HYPERBOLIC
FLOWS
.
17
1.8.2
PARABOLIC
FLOWS
.
17
1.8.3
ELLIPTIC
FLOWS
.
17
1.8.4
MIXED
FLOW
TYPES
.
18
1.9
PLAN
OF
THIS
BOOK
.
18
2.
INTRODUCTION
TO
NUMERICAL
METHODS
.
21
2.1
APPROACHES
TO
FLUID
DYNAMICAL
PROBLEMS
.
21
2.2
WHAT
IS
CFD?
.
23
2.3
POSSIBILITIES
AND
LIMITATIONS
OF
NUMERICAL
METHODS
.
23
2.4
COMPONENTS
OF
A
NUMERICAL
SOLUTION
METHOD
.
25
2.4.1
MATHEMATICAL
MODEL
.
25
2.4.2
DISCRETIZATION
METHOD
.
25
2.4.3
COORDINATE
AND
BASIS
VECTOR
SYSTEMS
.
26
2.4.4
NUMERICAL
GRID
.
26
2.4.5
FINITE
APPROXIMATIONS
.
30
X
TABLE
OF
CONTENTS
2.4.6
SOLUTION
METHOD
.
30
2.4.7
CONVERGENCE
CRITERIA
.
30
2.5
PROPERTIES
OF
NUMERICAL
SOLUTION
METHODS
.
31
2.5.1
CONSISTENCY
.
31
2.5.2
STABILITY
.
31
2.5.3
CONVERGENCE
.
32
2.5.4
CONSERVATION
.
32
2.5.5
BOUNDEDNESS
.
33
2.5.6
REALIZIBILITY
.
33
2.5.7
ACCURACY
.
34
2.6
DISCRETIZATION
APPROACHES
.
35
2.6.1
FINITE
DIFFERENCE
METHOD
.
35
2.6.2
FINITE
VOLUME
METHOD
.
35
2.6.3
FINITE
ELEMENT
METHOD
.
36
3.
FINITE
DIFFERENCE
METHODS
.
39
3.1
INTRODUCTION
.
39
3.2
BASIC
CONCEPT
.
39
3.3
APPROXIMATION
OF
THE
FIRST
DERIVATIVE
.
42
3.3.1
TAYLOR
SERIES
EXPANSION
.
42
3.3.2
POLYNOMIAL
FITTING
.
46
3.4
APPROXIMATION
OF
THE
SECOND
DERIVATIVE
.
47
3.5
APPROXIMATION
OF
MIXED
DERIVATIVES
.
50
3.6
APPROXIMATION
OF
OTHER
TERMS
.
50
3.7
IMPLEMENTATION
OF
BOUNDARY
CONDITIONS
.
50
3.8
AN
INTRODUCTION
TO
SPECTRAL
METHODS
.
52
3.8.1
BASIC
CONCEPT
.
52
3.8.2
ANOTHER
VIEW
OF
DISCRETIZATION
ERROR
.
53
3.9
THE
ALGEBRAIC
EQUATION
SYSTEM
.
55
3.10
DISCRETIZATION
ERRORS
.
58
3.11
EXAMPLE
.
60
4.
FINITE
VOLUME
METHODS
.
67
4.1
INTRODUCTION
.
67
4.2
APPROXIMATION
OF
SURFACE
INTEGRALS
.
68
4.3
APPROXIMATION
OF
VOLUME
INTEGRALS
.
70
4.4
INTERPOLATION
PRACTICES
.
72
4.4.1
UPWIND
INTERPOLATION
(UDS)
.
72
4.4.2
LINEAR
INTERPOLATION
(CDS)
.
73
4.4.3
QUADRATIC
UPWIND
INTERPOLATION
(QUICK)
.
74
4.4.4
HIGHER-ORDER
SCHEMES
.
75
4.4.5
OTHER
SCHEMES
.
76
4.5
DEFERRED
CORRECTION
.
76
4.6
IMPLEMENTATION
OF
BOUNDARY
CONDITIONS
.
77
4.7
THE
ALGEBRAIC
EQUATION
SYSTEM
.
77
TABLE
OF
CONTENTS
XI
4.8
EXAMPLES
.
78
5.
SOLUTION
OF
LINEAR
EQUATION
SYSTEMS
.
85
5.1
INTRODUCTION
.
85
5.2
DIRECT
METHODS
.
86
5.2.1
GAUSS
ELIMINATION
.
86
5.2.2
LU
DECOMPOSITION
.
88
5.2.3
TRIDIAGONAL
SYSTEMS
.
89
5.2.4
CYCLIC
REDUCTION
.
90
5.3
ITERATIVE
METHODS
.
91
5.3.1
BASIC
CONCEPT
.
91
5.3.2
CONVERGENCE
.
92
5.3.3
SOME
BASIC
METHODS
.
94
5.3.4
INCOMPLETE
LU
DECOMPOSITION:
STONE
'
S
METHOD
.
95
5.3.5
ADI
AND
OTHER
SPLITTING
METHODS
.
99
5.3.6
CONJUGATE
GRADIENT
METHODS
.
101
5.3.7
BICONJUGATE
GRADIENTS
AND
CGSTAB
.
104
5.3.8
MULTIGRID
METHODS
.
106
5.3.9
OTHER
ITERATIVE
SOLVERS
.
110
5.4
COUPLED
EQUATIONS
AND
THEIR
SOLUTION
.
110
5.4.1
SIMULTANEOUS
SOLUTION
.
ILL
5.4.2
SEQUENTIAL
SOLUTION
.
ILL
5.5
NON-LINEAR
EQUATIONS
AND
THEIR
SOLUTION
.
113
5.5.1
NEWTON-LIKE
TECHNIQUES
.
113
5.5.2
OTHER
TECHNIQUES
.
115
5.6
CONVERGENCE
CRITERIA
.
115
5.7
EXAMPLES
.
120
6.
METHODS
FOR
UNSTEADY
PROBLEMS
.
127
6.1
INTRODUCTION
.
127
6.2
METHODS
FOR
INITIAL
VALUE
PROBLEMS
IN
ODES
.
127
6.2.1
TWO-LEVEL
METHODS
.
127
6.2.2
PREDICTOR-CORRECTOR
AND
MULTIPOINT
METHODS
.
130
6.2.3
RUNGE-KUTTA
METHODS
.
132
6.2.4
OTHER
METHODS
.
133
6.3
APPLICATION
TO
THE
GENERIC
TRANSPORT
EQUATION
.
134
6.3.1
EXPLICIT
METHODS
.
135
6.3.2
IMPLICIT
METHODS
.
140
6.3.3
OTHER
METHODS
.
143
6.4
EXAMPLES
.
143
XII
TABLE
OF
CONTENTS
7.
SOLUTION
OF
THE
NAVIER-STOKES
EQUATIONS
.
149
7.1
SPECIAL
FEATURES
OF
THE
NAVIER-STOKES
EQUATIONS
.
149
7.1.1
DISCRETIZATION
OF
CONVECTIVE
AND
VISCOUS
TERMS
.
149
7.1.2
DISCRETIZATION
OF
PRESSURE
TERMS
AND
BODY
FORCES
.
150
7.1.3
CONSERVATION
PROPERTIES
.
152
7.2
CHOICE
OF
VARIABLE
ARRANGEMENT
ON
THE
GRID
.
156
7.2.1
COLOCATED
ARRANGEMENT
.
157
7.2.2
STAGGERED
ARRANGEMENTS
.
158
7.3
CALCULATION
OF
THE
PRESSURE
.
159
7.3.1
THE
PRESSURE
EQUATION
AND
ITS
SOLUTION
.
159
7.3.2
A
SIMPLE
EXPLICIT
TIME
ADVANCE
SCHEME
.
160
7.3.3
IMPLICIT
PRESSURE-CORRECTION
METHODS
.
162
7.4
OTHER
METHODS
.
168
7.4.1
FRACTIONAL
STEP
METHODS
.
168
7.4.2
STREAMFUNCTION-VORTICITY
METHODS
.
170
7.4.3
ARTIFICIAL
COMPRESSIBILITY
METHODS
.
172
7.5
SOLUTION
METHODS
FOR
THE
NAVIER-STOKES
EQUATIONS
.
176
7.5.1
IMPLICIT
SCHEME
USING
PRESSURE-CORRECTION
AND
A
STAG
GERED
GRID
.
176
7.5.2
TREATMENT
OF
PRESSURE
FOR
COLOCATED
VARIABLES
.
184
7.5.3
SIMPLE
ALGORITHM
FOR
A
COLOCATED
VARIABLE
ARRANGE
MENT
.
188
7.6
NOTE
ON
PRESSURE
AND
INCOMPRESSIBILITY
.
191
7.7
BOUNDARY
CONDITIONS
FOR
THE
NAVIER-STOKES
EQUATIONS
.
192
7.8
EXAMPLES
.
195
8.
COMPLEX
GEOMETRIES
.
205
8.1
THE
CHOICE
OF
GRID
.
205
8.1.1
STEPWISE
APPROXIMATION
USING
REGULAR
GRIDS
.
205
8.1.2
OVERLAPPING
GRIDS
.
206
8.1.3
BOUNDARY-FITTED
NON-ORTHOGONAL
GRIDS
.
207
8.2
GRID
GENERATION
.
207
8.3
THE
CHOICE
OF
VELOCITY
COMPONENTS
.
209
8.3.1
GRID-ORIENTED
VELOCITY
COMPONENTS
.
209
8.3.2
CARTESIAN
VELOCITY
COMPONENTS
.
210
8.4
THE
CHOICE
OF
VARIABLE
ARRANGEMENT
.
210
8.4.1
STAGGERED
ARRANGEMENTS
.
211
8.4.2
COLOCATED
ARRANGEMENT
.
212
8.5
FINITE
DIFFERENCE
METHODS
.
212
8.6
FINITE
VOLUME
METHODS
.
215
8.6.1
APPROXIMATION
OF
CONVECTIVE
FLUXES
.
215
8.6.2
APPROXIMATION
OF
DIFFUSIVE
FLUXES
.
217
8.6.3
APPROXIMATION
OF
SOURCE
TERMS
.
223
8.6.4
THREE-DIMENSIONAL
GRIDS
.
224
8.6.5
UNSTRUCTURED
GRIDS
.
225
TABLE
OF
CONTENTS
XIII
8.7
CONTROL-VOLUME-BASED
FINITE
ELEMENT
METHODS
.
226
8.8
PRESSURE-CORRECTION
EQUATION
.
228
8.9
AXISYMMETRIC
PROBLEMS
.
233
8.10
IMPLEMENTATION
OF
BOUNDARY
CONDITIONS
.
235
8.10.1
INLET
.
236
8.10.2
OUTLET
.
236
8.10.3
IMPERMEABLE
WALLS
.
237
8.10.4
SYMMETRY
PLANES
.
239
8.10.5
SPECIFIED
PRESSURE
.
239
8.11
EXAMPLES
.
240
9.
TURBULENT
FLOWS
.
247
9.1
INTRODUCTION
.
247
9.2
DIRECT
NUMERICAL
SIMULATION
(DNS)
.
249
9.2.1
EXAMPLE:
SPATIAL
DECAY
OF
GRID
TURBULENCE
.
255
9.3
LARGE
EDDY
SIMULATION
(LES)
.
257
9.3.1
SMAGORINSKY
AND
RELATED
MODELS
.
258
9.3.2
DYNAMIC
MODELS
.
260
9.3.3
EXAMPLE:
FLOW
OVER
A
WALL-MOUNTED
CUBE
.
262
9.4
RANS
MODELS
.
264
9.4.1
REYNOLDS
AVERAGED
NAVIER-STOKES
(RANS)
EQUATIONS
.
265
9.4.2
SIMPLE
TURBULENCE
MODELS
AND
THEIR
APPLICATION
.
267
9.4.3
EXAMPLE:
FLOW
AROUND
A
VALVE
.
273
9.5
REYNOLDS
STRESS
MODELS
.
275
10.
COMPRESSIBLE
FLOW
.
277
10.1
INTRODUCTION
.
277
10.2
PRESSURE-CORRECTION
METHODS
FOR
ARBITRARY
MACH
NUMBER
.
278
10.2.1
PRESSURE-VELOCITY-DENSITY
COUPLING
.
279
10.2.2
BOUNDARY
CONDITIONS
.
283
10.2.3
EXAMPLES
.
287
10.3
METHODS
DESIGNED
FOR
COMPRESSIBLE
FLOW
.
292
10.3.1
AN
OVERVIEW
OF
SOME
SPECIFIC
METHODS
.
293
11.
EFFICIENCY
AND
ACCURACY
IMPROVEMENT
.
297
11.1
MULTIGRID
METHODS
FOR
FLOW
CALCULATION
.
297
11.2
ADAPTIVE
GRID
METHODS
AND
LOCAL
GRID
REFINEMENT
.
305
11.3
PARALLEL
COMPUTING
IN
CFD
.
309
11.3.1
ITERATIVE
SCHEMES
FOR
LINEAR
EQUATIONS
.
309
11.3.2
DOMAIN
DECOMPOSITION
IN
SPACE
.
312
11.3.3
DOMAIN
DECOMPOSITION
IN
TIME
.
315
11.3.4
EFFICIENCY
OF
PARALLEL
COMPUTING
.
316
XIV
TABLE
OF
CONTENTS
12.
SPECIAL
TOPICS
.
321
12.1
MOVING
GRIDS
.
321
12.2
FREE
SURFACE
FLOWS
.
327
12.3
HEAT
TRANSFER
.
335
12.4
FLOW
WITH
VARIABLE
FLUID
PROPERTIES
.
337
12.5
METEOROLOGICAL
AND
OCEANOGRAPHIC
APPLICATIONS
.
338
12.6
COMBUSTION
.
339
A.
APPENDECES
.
341
A.L
LIST
OF
COMPUTER
CODES
AND
HOW
TO
ACCESS
THEM
.
341
A.
2
LIST
OF
FREQUENTLY
USED
ABBREVIATIONS
.
342 |
| any_adam_object | 1 |
| author | Ferziger, Joel H. 1937-2004 Perić, Milovan 1957- |
| author_GND | (DE-588)115525319 (DE-588)115525300 |
| author_facet | Ferziger, Joel H. 1937-2004 Perić, Milovan 1957- |
| author_role | aut aut |
| author_sort | Ferziger, Joel H. 1937-2004 |
| author_variant | j h f jh jhf m p mp |
| building | Verbundindex |
| bvnumber | BV010612719 |
| callnumber-first | Q - Science |
| callnumber-label | QA911 |
| callnumber-raw | QA911.F434 1996 |
| callnumber-search | QA911.F434 1996 |
| callnumber-sort | QA 3911 F434 41996 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | UF 4000 |
| classification_tum | MTA 309f |
| ctrlnum | (OCoLC)474269712 (DE-599)BVBBV010612719 |
| dewey-full | 532.05015194 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.05015194 |
| dewey-search | 532.05015194 |
| dewey-sort | 3532.05015194 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| genre | 1\p (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV010612719 |
| illustrated | Illustrated |
| indexdate | 2024-11-19T17:03:03Z |
| institution | BVB |
| isbn | 3540594345 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007080562 |
| oclc_num | 474269712 |
| open_access_boolean | |
| owner | DE-29T DE-20 DE-92 DE-703 DE-706 DE-91 DE-BY-TUM DE-634 DE-83 |
| owner_facet | DE-29T DE-20 DE-92 DE-703 DE-706 DE-91 DE-BY-TUM DE-634 DE-83 |
| physical | XIV, 356 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| spelling | Ferziger, Joel H. 1937-2004 Verfasser (DE-588)115525319 aut Computational methods for fluid dynamics J. H. Ferziger ; M. Perić Berlin [u.a.] Springer 1996 XIV, 356 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Datenverarbeitung Fluid dynamics Data processing Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Numerische Strömungssimulation (DE-588)4690080-9 s DE-604 Strömungsmechanik (DE-588)4077970-1 s Numerisches Verfahren (DE-588)4128130-5 s 2\p DE-604 Perić, Milovan 1957- Verfasser (DE-588)115525300 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007080562&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ferziger, Joel H. 1937-2004 Perić, Milovan 1957- Computational methods for fluid dynamics Datenverarbeitung Fluid dynamics Data processing Numerische Strömungssimulation (DE-588)4690080-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4690080-9 (DE-588)4128130-5 (DE-588)4077970-1 (DE-588)4123623-3 |
| title | Computational methods for fluid dynamics |
| title_auth | Computational methods for fluid dynamics |
| title_exact_search | Computational methods for fluid dynamics |
| title_full | Computational methods for fluid dynamics J. H. Ferziger ; M. Perić |
| title_fullStr | Computational methods for fluid dynamics J. H. Ferziger ; M. Perić |
| title_full_unstemmed | Computational methods for fluid dynamics J. H. Ferziger ; M. Perić |
| title_short | Computational methods for fluid dynamics |
| title_sort | computational methods for fluid dynamics |
| topic | Datenverarbeitung Fluid dynamics Data processing Numerische Strömungssimulation (DE-588)4690080-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Datenverarbeitung Fluid dynamics Data processing Numerische Strömungssimulation Numerisches Verfahren Strömungsmechanik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007080562&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ferzigerjoelh computationalmethodsforfluiddynamics AT pericmilovan computationalmethodsforfluiddynamics |