Fluid dynamic applications of the discrete Boltzmann equation:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore u.a.
World Scientific
1991
|
| Series: | Series on advances in mathematics for applied sciences
3 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 263 S. graph. Darst. |
| ISBN: | 9810204663 |
Staff View
MARC
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| 100 | 1 | |a Monaco, Roberto |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Fluid dynamic applications of the discrete Boltzmann equation |c Roberto Monaco & Luigi Preziosi |
| 264 | 1 | |a Singapore u.a. |b World Scientific |c 1991 | |
| 300 | |a XVIII, 263 S. |b graph. Darst. | ||
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Preface vii
Chapter 1: THE DISCRETE BOLTZMANN EQUATION
MODELLING AND THERMODYNAMICS
1.1 The Discrete Boltzmann Equation 3
1.2 On the Mathematical Modelling 4
1.2.1 The Discrete Boltzmann Equation for a
One Component Gas 5
1.2.2 The Discrete Boltzmann Equation for
Gas Mixtures 10
1.3 Macroscopic Observables 14
1.4 Thermo dynamic Equilibrium and Conservation
Equations 19
1.4.1 Analysis for a One Component Gas 19
1.4.2 Analysis for Gas Mixtures 27
1.5 Plan of the Book 30
References 33
XV
xvi Contents
Chapter 2: SOME DISCRETE VELOCITY MODELS
2.1 Planar 2n Velocity Models 40
2.1.1 The 4 Velocity Model 42
2.1.2 The 4 Velocity Model for Binary Gas
Mixtures 46
2.1.3 The 6 Velocity Model 50
2.1.4 The 6 Velocity Model with Triple Collisions 53
2.1.5 The 2 X 6 Velocity Model with Triple
Collisions 56
2.2 Spatial Models 60
2.2.1 The Broadwell Model for a One Component
Gas 60
2.2.2 The Broadwell Model for Binary Gas
Mixtures 64
2.2.3 Cabannes Type Models 67
2.2.4 Shizuta Type Models 76
References 79
Chapter 3: ON THE DISCRETE BOLTZMANN
EQUATION IN UNBOUNDED DOMAINS
3.1 The Cauchy Problem for the Discrete Boltzmann
Equation 82
3.1.1 Mathematical Formulation and Local
Existence 83
3.1.2 Existence of Solutions in the Whole Space
TLd,d 2 89
Contents xvii
3.1.3 The Initial Value Problem in One Space
Dimension 90
3.2 On the Solution of the Discrete Boltzmann Equation 92
References 109
Chapter 4; SHOCK WAVES
4.1 Statement of the Mathematical Problem 115
4.2 Determination of the Velocity of Sound 118
4.3 Existence and Stability of Shock Waves 122
4.4 Propagation and Structure of Shock Waves 129
4.4.1 Shock Waves by the 2 X 6 Broadwell Model
for a Binary Gas Mixture 129
4.4.2 Shock Waves by the Planar 6 Velocity
Model with Triple Collisions 144
4.5 Discussion and Open Problems 147
References 149
Chapter 5: INTERNAL AND EXTERNAL FLOWS
5.1 Mathematical Formulation of Boundary Conditions 155
5.2 Applications of the Discrete Boltzmann Equation
in Bounded Domains 166
5.3 Flow between Two Walls at Different Temperatures 169
5.4 Couette Flow 180
5.5 Rayleigh Flow 190
xviii Contents
5.6 Flow over Convex Bodies 193
References 199
Chapter 6: THE DISCRETE BOLTZMANN EQUATION
FOR CHEMICALLY REACTING GASES
6.1 Gases with Chemical Reactions 203
6.2 A Mathematical Model for Gases with Bi Molecular
Chemical Reactions 207
6.2.1 Kinetic Equations of the Discrete Model
with Bi Molecular Chemical Reactions 211
6.2.2 Thermodynamic Equilibrium in Presence
of Bi Molecular Reactions 216
6.3 A Mathematical Model for a Gas with Chemical
Dissociation and Recombination 220
6.3.1 Kinetic Equations of the Discrete Model with
Chemical Dissociation and Recombination 225
6.3.2 Thermodynamic Equilibrium in Presence of
Chemical Dissociation and Recombination 235
6.4 A Discrete Model for a Dissociating Gas 236
6.5 Shock Waves for a Dissociating Gas 241
6.6 Discussion and Open Problems 249
References 252
Author Index 255
Subject Index 259
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:40:41Z |
| institution | BVB |
| isbn | 9810204663 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003870477 |
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| physical | XVIII, 263 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | World Scientific |
| record_format | marc |
| series | Series on advances in mathematics for applied sciences |
| series2 | Series on advances in mathematics for applied sciences |
| spelling | Monaco, Roberto Verfasser aut Fluid dynamic applications of the discrete Boltzmann equation Roberto Monaco & Luigi Preziosi Singapore u.a. World Scientific 1991 XVIII, 263 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series on advances in mathematics for applied sciences 3 Fluides, dynamique des ram Gaz, théorie cinétique des ram Transport, théorie du ram Fluid dynamics Kinetic theory of gases Transport theory Boltzmann-Gleichung (DE-588)4146261-0 gnd rswk-swf Hydrodynamik (DE-588)4026302-2 gnd rswk-swf Diskretisierung (DE-588)4012469-1 gnd rswk-swf Boltzmann-Gleichung (DE-588)4146261-0 s Diskretisierung (DE-588)4012469-1 s Hydrodynamik (DE-588)4026302-2 s DE-604 Preziosi, Luigi Verfasser aut Series on advances in mathematics for applied sciences 3 (DE-604)BV004569239 3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003870477&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Monaco, Roberto Preziosi, Luigi Fluid dynamic applications of the discrete Boltzmann equation Series on advances in mathematics for applied sciences Fluides, dynamique des ram Gaz, théorie cinétique des ram Transport, théorie du ram Fluid dynamics Kinetic theory of gases Transport theory Boltzmann-Gleichung (DE-588)4146261-0 gnd Hydrodynamik (DE-588)4026302-2 gnd Diskretisierung (DE-588)4012469-1 gnd |
| subject_GND | (DE-588)4146261-0 (DE-588)4026302-2 (DE-588)4012469-1 |
| title | Fluid dynamic applications of the discrete Boltzmann equation |
| title_auth | Fluid dynamic applications of the discrete Boltzmann equation |
| title_exact_search | Fluid dynamic applications of the discrete Boltzmann equation |
| title_full | Fluid dynamic applications of the discrete Boltzmann equation Roberto Monaco & Luigi Preziosi |
| title_fullStr | Fluid dynamic applications of the discrete Boltzmann equation Roberto Monaco & Luigi Preziosi |
| title_full_unstemmed | Fluid dynamic applications of the discrete Boltzmann equation Roberto Monaco & Luigi Preziosi |
| title_short | Fluid dynamic applications of the discrete Boltzmann equation |
| title_sort | fluid dynamic applications of the discrete boltzmann equation |
| topic | Fluides, dynamique des ram Gaz, théorie cinétique des ram Transport, théorie du ram Fluid dynamics Kinetic theory of gases Transport theory Boltzmann-Gleichung (DE-588)4146261-0 gnd Hydrodynamik (DE-588)4026302-2 gnd Diskretisierung (DE-588)4012469-1 gnd |
| topic_facet | Fluides, dynamique des Gaz, théorie cinétique des Transport, théorie du Fluid dynamics Kinetic theory of gases Transport theory Boltzmann-Gleichung Hydrodynamik Diskretisierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003870477&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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