Computational granular dynamics: models and algorithms
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York
Springer
2005
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 322 S. Ill., graph. Darst. |
| ISBN: | 9783540214854 3540214852 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804133427606192128 |
|---|---|
| adam_text | THORSTEN POSCHEL THOMAS SCHWAGER COMPUTATIONAL GRANULAR DYNAMICS MODELS
AND ALGORITHMS WITH 133 FIGURES *J SPRINGER CONTENTS INTRODUCTION 1 1.1
WHY DO WE NEED NUMERICAL SIMULATIONS OF GRANULAR MATERIALS? 2 1.2
ORGANIZATION OF THE BOOK 8 1.3 WHY DID WE WRITE THIS BOOK AS IS? 9
MOLECULAR DYNAMICS 13 2.1 IDEA OF MOLECULAR DYNAMICS 13 2.1.1 EQUATIONS
OF MOTION 13 2.1.2 BOUNDARY CONDITIONS 15 2.1.3 INITIAL CONDITIONS : 16
2.1.4 MODELS FOR SPHERICAL PARTICLES 17 2.1.5 GEAR S INTEGRATION SCHEME
26 2.1.6 SKETCH OF THE MOLECULAR DYNAMICS ALGORITHM 27 2.1.7 VECTOR
PROCESSING 29, 2.2 OVERVIEW OF THE PRESENTED SIMULATION PROGRAMS 30 2.3
MOLECULAR DYNAMICS USING SPHERICAL PARTICLES 32 2.3.1 BASIC STRUCTURE
AND MAIN PROGRAM 32 2.3.2 SIMPLE ALGORITHM FOR THE COMPUTATION OF FORCES
36 2.3.3 PARTICLE CLASS SPHERE 38 2.3.4 DATA EXTRACTION 47 2.3.5
EXAMPLES 48 2.3.6 CRITICAL DISCUSSION OF THE PARTICLE MODEL 52 2.4
EFFICIENT FORCE SUMMATION 53 2.4.1 ALGORITHMIC COMPLEXITY OF THE FORCE
SUMMATION ...... 53 2.4.2 VERLET LISTS 54 2.4.3 LINK CELL ALGORITHM 61
2.4.4 LATTICE ALGORITHM 65 2.5 QUATERNIONS FOR THREE-DIMENSIONAL
SIMULATIONS 68 2.6 COMPOSITE PARTICLES 75 2.6.1 IDEA 75 VIII CONTENTS
2.6.2 GEOMETRICAL PROPERTIES 76 2.6.3 FORCES 78 2.6.4 IMPLEMENTATION 79
2.6.5 THREE-DIMENSIONAL COMPOSITE PARTICLES 84 2.6.6 DISCUSSION . 85
2.7 SIMULATION OF SHARP-EDGED PARTICLES 86 2.7.1 MODEL 86 2.7.2
INTERACTION OF COLLIDING TRIANGLES 88 2.7.3 CONTACT CLASSIFICATION
..-.-- 100 2.7.4 BEAM FORCES 101 2.7.5 EXAMPLES 104 2.7.6 FRAGMENTATION
OF SHARP-EDGED PARTICLES 108 2.8 FURTHER PARTICLE MODELS 108 2.9
PARTICLE FRAGMENTATION 110 2.9.1 MODELING OF FRAGMENTATION 110 2.9.2
MOLECULAR DYNAMICS OF FRAGMENTING PARTICLES ILL 2.9.3 FRAGMENTATION
PROBABILITY 113 2.9.4 FRAGMENT SIZE DISTRIBUTION 114 2.10 HIGH
PERFORMANCE COMPUTERS 115 2.10.1 VECTORIZATION 116 2.10.2
PARALLELIZATION 123 2.11 VECTOR CLASS 129 PROGRAM INDEX 133 3
EVENT-DRIVEN MOLECULAR DYNAMICS 135 3.1 IDEA AND MOTIVATION 135 3.2
COLLISION OF PARTICLES 137 3.3 UNIQUENESS OF THE COLLISION RULE 140 3.4
SKETCH OF THE ALGORITHM 141 3.5 COEFFICIENTS OF RESTITUTION 142 3.5.1
COEFFICIENT OF NORMAL RESTITUTION E N 142 3.5.2 TANGENTIAL COEFFICIENT
OF RESTITUTION E T 144 3.5.3 RELATION BETWEEN E N AND E* 146 3.6 SIMPLE
ALGORITHM FOR EVENT-DRIVEN MOLECULAR DYNAMICS 147 3.6.1 OVERVIEW 147
3.6.2 FORCE-FREE MOTION OF PARTICLES 148 3.6.3 PAIRWISE PARTICLE
COLLISIONS 148 3.6.4 WALL COLLISIONS 151 3.6.5 INITIALIZATION 153 3.6.6
SCHEDULE OF COLLISION TIMES 153 3.6.7 MAIN PROGRAM 155 3.6.8 OUTPUT 156
3.6.9 A NOTE ON NUMERICAL ERRORS 157 3.6.10 CRITICAL DISCUSSION OF THE
ALGORITHM 160 CONTENTS IX 3.7 IMPROVED ALGORITHM FOR EVENT-DRIVEN
MOLECULAR DYNAMICS 160 3.7.1 REDUCTION OF THE COLLISION LIST 160 3.7.2
DATA ORGANIZATION 162 3.7.3 REMOVAL OF INVALID ENTRIES FROM THE EVENT
LISTS 163 3.7.4 COLLISION-FREE MOTION OF PARTICLES 163 3.7.5 OPTIMAL BOX
SIZE 165 3.7.6 SCHEDULING EVENTS 166 3.7.7 UPDATE OF PARTICLE POSITIONS
167 3.7.8 EFFICIENCY OF THE ALGORITHM 167 3.8 BOUNDARY CONDITIONS 168
3.8.1 REFLECTING BOUNDARIES 169 3.8.2 PERIODIC BOUNDARY CONDITIONS 170
3.8.3 HEATED WALLS 173 3.9 INELASTIC COLLAPSE 177 3.10 GRANULAR GASES .
179 3.10.1 WHAT ARE GRANULAR GASES? 179 3.10.2 CLUSTER INSTABILITY 180
3.10.3 SOME OPEN PROBLEMS 181 PROGRAM INDEX 189 DIRECT SIMULATION MONTE
CARLO 19 1 4.1 IDEA OF DIRECT SIMULATION MONTE CARLO 191 4.2 BOLTZMANN
EQUATION 193 4.3 COLLISION FREQUENCY OF A UNIFORM HARD SPHERE GAS ., 197
4.4 INTEGRATION OF THE BOLTZMANN EQUATION 198 4.5 IMPLEMENTATION 200 4.6
APPLICATION TO A FORCE-FREE GRANULAR GAS 206 RIGID-BODY DYNAMICS 211 5.1
RIGID BODIES 211 5.2 SKETCH OF THE ALGORITHM 215 5.3 MATHEMATICAL
DESCRIPTION 215 5.3.1 FRICTIONLESS PARTICLES 215 5.3.2 PARTICLE SYSTEMS
WITH FRICTION 219 5.4 DANTZIG S ALGORITHM FOR THE COMPUTATION OF THE
FORCES 221 5.4.1 GENERAL SCHEME 221 5.4.2 APPLICATION OF THE ALGORITHM
TO A SIMPLE EXAMPLE 224 5.5 COLLISIONS 232 5.6 RESOLUTION OF STATIC
INDETERMINACY 236 5.7 INTEGRATION OF THE EQUATION OF MOTION 238 5.8
SIMPLE EXAMPLES 239 5.9 DISCUSSION OF THE MODEL 241 X CONTENTS 6
CELLULAR AUTOMATA 243 6.1 OVERVIEW 243 6.2 HEAP FORMATION AND AVALANCHES
243 6.3 FORMATION OF RIPPLES 250 6.4 LATTICE GAS SIMULATIONS . * 77 255
6.4.1 LATTICE GAS AUTOMATON 255 6.4.2 GRANULAR PIPE FLOW 257 6.4.3
DENSITY INHOMOGENEITIES IN GRANULAR PIPE FLOW 268 7 BOTTOM-TO-TOP
RECONSTRUCTION 271 7.1 IDEA OF THE METHOD 271 7.2 SIMULATING A HEAP 273
7.3 DYNAMIC SIMULATIONS 287 7.4 CRITICAL ANALYSIS OF THE MODEL 290 8
BROWNIAN DYNAMICS FOR THE SIMULATION OF GRANULAR FLOWS 293 8.1 LANGEVIN
EQUATION FOR PIPE FLOW 293 8.2 SIMULATION OF THE LANGEVIN EQUATION 296
REFERENCES 303 INDEX 319
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| indexdate | 2024-07-09T20:08:33Z |
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| isbn | 9783540214854 3540214852 |
| language | English |
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| spelling | Pöschel, Thorsten 1963- Verfasser (DE-588)137773587 aut Computational granular dynamics models and algorithms Thorsten Pöschel ; Thomas Schwager Berlin ; Heidelberg ; New York Springer 2005 X, 322 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell Granular materials Mathematical models Computersimulation (DE-588)4148259-1 gnd rswk-swf Granulärer Stoff (DE-588)4256351-3 gnd rswk-swf Granulärer Stoff (DE-588)4256351-3 s Computersimulation (DE-588)4148259-1 s DE-604 Schwager, Thomas 1972- Verfasser (DE-588)123797101 aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013216243&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pöschel, Thorsten 1963- Schwager, Thomas 1972- Computational granular dynamics models and algorithms Mathematisches Modell Granular materials Mathematical models Computersimulation (DE-588)4148259-1 gnd Granulärer Stoff (DE-588)4256351-3 gnd |
| subject_GND | (DE-588)4148259-1 (DE-588)4256351-3 |
| title | Computational granular dynamics models and algorithms |
| title_auth | Computational granular dynamics models and algorithms |
| title_exact_search | Computational granular dynamics models and algorithms |
| title_full | Computational granular dynamics models and algorithms Thorsten Pöschel ; Thomas Schwager |
| title_fullStr | Computational granular dynamics models and algorithms Thorsten Pöschel ; Thomas Schwager |
| title_full_unstemmed | Computational granular dynamics models and algorithms Thorsten Pöschel ; Thomas Schwager |
| title_short | Computational granular dynamics |
| title_sort | computational granular dynamics models and algorithms |
| title_sub | models and algorithms |
| topic | Mathematisches Modell Granular materials Mathematical models Computersimulation (DE-588)4148259-1 gnd Granulärer Stoff (DE-588)4256351-3 gnd |
| topic_facet | Mathematisches Modell Granular materials Mathematical models Computersimulation Granulärer Stoff |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013216243&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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