An introduction to modeling and simulation of particulate flows:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia, PA
SIAM, Society for Industrial and Applied Mathematics
2007
|
| Series: | Computational science & engineering
4 |
| Subjects: | |
| Online Access: | Table of contents only Publisher description Contributor biographical information Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 159-174) and index |
| Physical Description: | XVII, 176 S. Ill., graph. Darst. 26 cm |
| ISBN: | 0898716276 9780898716276 |
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MARC
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| 245 | 1 | 0 | |a An introduction to modeling and simulation of particulate flows |c T.I. Zohdi |
| 264 | 1 | |a Philadelphia, PA |b SIAM, Society for Industrial and Applied Mathematics |c 2007 | |
| 300 | |a XVII, 176 S. |b Ill., graph. Darst. |c 26 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Computational science & engineering |v 4 | |
| 500 | |a Includes bibliographical references (p. 159-174) and index | ||
| 650 | 4 | |a Taneli malzemeler - Sıvı dinamiği - Matematiksel modeller | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Granular materials |x Fluid dynamics |x Mathematical models | |
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Record in the Search Index
| _version_ | 1804137331940130816 |
|---|---|
| adam_text | Contents
List of Figures
xi
Preface
xv
1
Fundamentals
1
1.1
Notation
................................. 1
1.2
Kinematics of a single particle
..................... 2
1.3
Kinetics of a single particle
....................... 3
1.3.1
Work, energy, and power
................. 3
1.3.2
Properties of a potential
.................. 4
1.3.3
Impulse and momentum
.................. 5
1.4
Systems of particles
........................... 6
1.4.1
Linear momentum
..................... 6
1.4.2
Energy principles
..................... 7
1.4.3
Remarks on scaling
.................... 8
2
Modeling of particulate flows
11
2.1
Particulate flow in the presence of near-fields
.............. 11
2.2
Mechanical contact with near-field interaction
............. 12
2.3
Kinetic energy dissipation
........................ 15
2.4
Incorporating friction
.......................... 17
2.4.1
Limitations on friction coefficients
............ 18
2.4.2
Velocity-dependent coefficients of restitution
....... 19
3
Iterative solution schemes
21
3.1
Simple temporal discretization
..................... 21
3.2
An example of stability limitations
................... 22
3.3
Application to particulate flows
..................... 22
3.4
Algorithmic implementation
....................... 26
4
Representative numerical simulations
31
4.1
Simulation parameters
.......................... 32
4.2
Results and observations
......................... 33
vii
viii Contents
5
Inverse
problems/parameter identification
39
5.1
A genetic algorithm
...........................40
5.2
A representative example
........................43
6
Extensions to swarm-like systems
47
6.1
Basic constructions
........................... 48
6.2
A model objective function
....................... 49
6.3
Numerical simulation
.......................... 50
6.4
Discussion
................................ 52
7
Advanced particulate flow models
55
7.1
Introduction
............................... 55
7.2
Clustering and agglomeration via binding forces
............ 55
7.3
Long-range instabilities and interaction truncation
........... 56
7.4
A simple model for thermochemical coupling
.............. 58
7.4.1
Stage I: An energy balance during impact
......... 59
7.4.2
Stage
П:
Postcollision
thermal behavior
.......... 61
7.5
Staggering schemes
........................... 63
7.5.1
A general iterative framework
............... 63
7.5.2
Semi-analytical examples
................. 66
7.5.3
Numerical examples involving particulate flows
..... 68
8
Coupled particle/fluid interaction
81
8.1
A model problem
............................. 82
8.1.1
A simnip characterization of particle/fluid interaction
. . . 82
8-1-2
^ Particle thermodynamics
. . *.......·-----— -.
m- 1 discretization of the Navia-Stokes equations
!........ 86
liscretization of the particle equations
. . 89
r_.j staggering solution scheme.
. ....... 91
«•З
A numerical example
..............
lts
8-7
Summary
86
Discussion of the results
.
о
···■·........
101
103
У-1·!
Raytheory: Scopeofuse
. ...............
104
9 Vi
earns composed of multiple rays
... .........105
10
Objectives
jectives
9-2
«ane
harmonic electromagnetic waves
. .][
J
y·*·1 Plane waves
. .........
9-2-2
Electromagnetic waves
..................
П7
924
^;са1.еп«ВУ
Propagation
[ [ [ [
..........
^
932
^^ationof
thescatterers
. [............
ÎÎ4
933
Íľ
UltsfOT
Nericai
scatterers.
. . ........... 6
Shape
effe««:
Elliidl
...........
Íľ
Nricai
scatterers.
. .
Shape
effe««:
Ellipsoidal geometri
es
g
Contents
¡x
9.4
Discussion
................................119
9.5
Thermal
coupling............................
120
9.6
Solution
procedure............................
122
9.7
Inverse
problems/parameter
identification
...............124
9.8
Parametrization
and a genetic algorithm ................
125
9.9
Summary
.................................128
10
Closing remarks
133
A Basic (continuum) fluid mechanics
137
A.I Deformation of line elements
......................137
A.2 The Jacobian of the deformation gradient
................138
A.3 Equilibrium/kinetics of solid
continua
..................138
A.4 Postulates on volume and surface quantities
..............139
A.5 Balance law formulations
........................140
A.6 Symmetry of the stress tensor
......................140
A.7 The first law of thermodynamics
....................141
A.8 Basic constitutive assumptions for fluid mechanics
...........142
В
Scattering
145
B.I Generalized Fresnel relations
......................145
B.2 Biological applications: Multiple red blood cell light scattering
.... 145
B.2.1 Parametrization of cell configurations
...........148
B.2.2 Computational algorithm
.................148
B.2.3 A computational example
.................149
B.2.4 Extensions and concluding remarks
............153
B.3 Acoustical scattering
...........................155
B.3.1 Basic relations
.......................155
B.3.2 Reflection and ray-tracing
.................156
Bibliography
159
Index
175
|
| adam_txt |
Contents
List of Figures
xi
Preface
xv
1
Fundamentals
1
1.1
Notation
. 1
1.2
Kinematics of a single particle
. 2
1.3
Kinetics of a single particle
. 3
1.3.1
Work, energy, and power
. 3
1.3.2
Properties of a potential
. 4
1.3.3
Impulse and momentum
. 5
1.4
Systems of particles
. 6
1.4.1
Linear momentum
. 6
1.4.2
Energy principles
. 7
1.4.3
Remarks on scaling
. 8
2
Modeling of particulate flows
11
2.1
Particulate flow in the presence of near-fields
. 11
2.2
Mechanical contact with near-field interaction
. 12
2.3
Kinetic energy dissipation
. 15
2.4
Incorporating friction
. 17
2.4.1
Limitations on friction coefficients
. 18
2.4.2
Velocity-dependent coefficients of restitution
. 19
3
Iterative solution schemes
21
3.1
Simple temporal discretization
. 21
3.2
An example of stability limitations
. 22
3.3
Application to particulate flows
. 22
3.4
Algorithmic implementation
. 26
4
Representative numerical simulations
31
4.1
Simulation parameters
. 32
4.2
Results and observations
. 33
vii
viii Contents
5
Inverse
problems/parameter identification
39
5.1
A genetic algorithm
.40
5.2
A representative example
.43
6
Extensions to "swarm-like" systems
47
6.1
Basic constructions
. 48
6.2
A model objective function
. 49
6.3
Numerical simulation
. 50
6.4
Discussion
. 52
7
Advanced particulate flow models
55
7.1
Introduction
. 55
7.2
Clustering and agglomeration via binding forces
. 55
7.3
Long-range instabilities and interaction truncation
. 56
7.4
A simple model for thermochemical coupling
. 58
7.4.1
Stage I: An energy balance during impact
. 59
7.4.2
Stage
П:
Postcollision
thermal behavior
. 61
7.5
Staggering schemes
. 63
7.5.1
A general iterative framework
. 63
7.5.2
Semi-analytical examples
. 66
7.5.3
Numerical examples involving particulate flows
. 68
8
Coupled particle/fluid interaction
81
8.1
A model problem
. 82
8.1.1
A simnip characterization of particle/fluid interaction
. . . 82
8-1-2
^ Particle thermodynamics
. . *.·-----— -.
"m-""1 discretization of the Navia-Stokes equations
!. 86
liscretization of the particle equations
. . 89
r_.j staggering solution scheme.
. . 91
«•З
A numerical example
.
lts
8-7
Summary
86
Discussion of the results
.
о
···■·.
101
103
У-1·!
Raytheory: Scopeofuse
. '.
104
9 Vi
"earns composed of multiple rays
. .105
10
Objectives
jectives
9-2
«ane
harmonic electromagnetic waves
'.'.][
J
y·*·1 Plane waves
. .
9-2-2
Electromagnetic waves'
'.
П7
924
^;са1.еп«ВУ
Propagation
' [ [ [ [
\
.
^
932
^^ationof
thescatterers
'. [.
ÎÎ4
933
Íľ
UltsfOT
Nericai
scatterers.
. . . 6
Shape
effe««:
Elliidl
.
Íľ
Nricai
scatterers.
. .
Shape
effe««:
Ellipsoidal geometri
es
g
Contents
¡x
9.4
Discussion
.119
9.5
Thermal
coupling.
120
9.6
Solution
procedure.
122
9.7
Inverse
problems/parameter
identification
.124
9.8
Parametrization
and a genetic algorithm .
125
9.9
Summary
.128
10
Closing remarks
133
A Basic (continuum) fluid mechanics
137
A.I Deformation of line elements
.137
A.2 The Jacobian of the deformation gradient
.138
A.3 Equilibrium/kinetics of solid
continua
.138
A.4 Postulates on volume and surface quantities
.139
A.5 Balance law formulations
.140
A.6 Symmetry of the stress tensor
.140
A.7 The first law of thermodynamics
.141
A.8 Basic constitutive assumptions for fluid mechanics
.142
В
Scattering
145
B.I Generalized Fresnel relations
.145
B.2 Biological applications: Multiple red blood cell light scattering
. 145
B.2.1 Parametrization of cell configurations
.148
B.2.2 Computational algorithm
.148
B.2.3 A computational example
.149
B.2.4 Extensions and concluding remarks
.153
B.3 Acoustical scattering
.155
B.3.1 Basic relations
.155
B.3.2 Reflection and ray-tracing
.156
Bibliography
159
Index
175 |
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| id | DE-604.BV023083221 |
| illustrated | Illustrated |
| index_date | 2024-07-02T19:38:10Z |
| indexdate | 2024-07-09T21:10:36Z |
| institution | BVB |
| isbn | 0898716276 9780898716276 |
| language | English |
| lccn | 2007061728 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016286209 |
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| owner | DE-29T DE-703 DE-83 |
| owner_facet | DE-29T DE-703 DE-83 |
| physical | XVII, 176 S. Ill., graph. Darst. 26 cm |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | SIAM, Society for Industrial and Applied Mathematics |
| record_format | marc |
| series | Computational science & engineering |
| series2 | Computational science & engineering |
| spelling | Zohdi, Tarek I. Verfasser (DE-588)129620564 aut An introduction to modeling and simulation of particulate flows T.I. Zohdi Philadelphia, PA SIAM, Society for Industrial and Applied Mathematics 2007 XVII, 176 S. Ill., graph. Darst. 26 cm txt rdacontent n rdamedia nc rdacarrier Computational science & engineering 4 Includes bibliographical references (p. 159-174) and index Taneli malzemeler - Sıvı dinamiği - Matematiksel modeller Mathematisches Modell Granular materials Fluid dynamics Mathematical models Granulärer Stoff (DE-588)4256351-3 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Granulärer Stoff (DE-588)4256351-3 s Numerische Strömungssimulation (DE-588)4690080-9 s DE-604 Computational science & engineering 4 (DE-604)BV022382702 4 http://www.loc.gov/catdir/enhancements/fy0707/2007061728-t.html Table of contents only http://www.loc.gov/catdir/enhancements/fy0708/2007061728-d.html Publisher description http://www.loc.gov/catdir/enhancements/fy0711/2007061728-b.html Contributor biographical information Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016286209&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zohdi, Tarek I. An introduction to modeling and simulation of particulate flows Computational science & engineering Taneli malzemeler - Sıvı dinamiği - Matematiksel modeller Mathematisches Modell Granular materials Fluid dynamics Mathematical models Granulärer Stoff (DE-588)4256351-3 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| subject_GND | (DE-588)4256351-3 (DE-588)4690080-9 |
| title | An introduction to modeling and simulation of particulate flows |
| title_auth | An introduction to modeling and simulation of particulate flows |
| title_exact_search | An introduction to modeling and simulation of particulate flows |
| title_exact_search_txtP | An introduction to modeling and simulation of particulate flows |
| title_full | An introduction to modeling and simulation of particulate flows T.I. Zohdi |
| title_fullStr | An introduction to modeling and simulation of particulate flows T.I. Zohdi |
| title_full_unstemmed | An introduction to modeling and simulation of particulate flows T.I. Zohdi |
| title_short | An introduction to modeling and simulation of particulate flows |
| title_sort | an introduction to modeling and simulation of particulate flows |
| topic | Taneli malzemeler - Sıvı dinamiği - Matematiksel modeller Mathematisches Modell Granular materials Fluid dynamics Mathematical models Granulärer Stoff (DE-588)4256351-3 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| topic_facet | Taneli malzemeler - Sıvı dinamiği - Matematiksel modeller Mathematisches Modell Granular materials Fluid dynamics Mathematical models Granulärer Stoff Numerische Strömungssimulation |
| url | http://www.loc.gov/catdir/enhancements/fy0707/2007061728-t.html http://www.loc.gov/catdir/enhancements/fy0708/2007061728-d.html http://www.loc.gov/catdir/enhancements/fy0711/2007061728-b.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016286209&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV022382702 |
| work_keys_str_mv | AT zohditareki anintroductiontomodelingandsimulationofparticulateflows |