Particle-based numerical methods for the simulation of electromagnetic plasma interactions:
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
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Verlag Dr. Hut
2019
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| Ausgabe: | 1. Auflage |
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| Beschreibung: | xx, 210 Seiten Illustrationen, Diagramme 21 cm x 14.8 cm, 433 g |
| ISBN: | 9783843942614 3843942617 |
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Datensatz im Suchindex
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| adam_text | Particle-Based Numerical Methods for the
Simulation of Electromagnetic Plasma
Interactions
A thesis accepted by the Faculty of
Aerospace Engineering and Geodesy of the University of Stuttgart
in partial fulfillment of the requirements for the degree of
Doctor of Engineering Sciences (Dr -lng )
by
Stephen Markus Copplestone
born in Tubingen
Main referee:
Co referee:
Date of defence:
Prof Dr Claus-Dieter Munz
Prof Dr Stefanos Fasoulas
May 23, 2019
Institute of Aerodynamics and Gas Dynamics
University of Stuttgart
2019
Bibliografische Information der Deutschen Nationalbibliothek
Die Deutsche Nationalbibliothek verzeichnet diese Publikation in der Deutschen Notionolbibliogrofie;
detaillierte bibliografische Daten sind im Internet über
http://dnb d-nb de abrufbar
ISBN 978-3-8439-4261-4
© Verlag Dr Hut, Mönchen 2019
Sternstr 18, 80538 Mönchen
Tel : 089/66060798
www dr hut-verlog de
Die Informationen in diesem Buch wurden mit großer Sorgfalt erarbeitet Dennoch können Fehler nkht vollständig ausgeschlossen
werden Verlag, Autoren und ggf Übersetzer übernehmen keine juristische Verantwortung oder irgendeine Haftung für eventuell
verbliebene fehlerhafte Angaben und deren Folgen
Alle Rechte, auch die des ouszugsweisen Nochdrucks, der Vervielfältigung und Verbreitung in besonderen Verfohren wie
fotomechanischer Nochdruck, Fotokopie, Mikrokopie, elektronische Dotenoufzeichnung einschließlich Speicherung und
Übertragung ouf weitere Datenträger sowie Übersetzung in andere Sprachen, behält sich der Autor vor
1 Auflage 2019
2(? 02
Preface
This work was performed during my employment as a scientific research assistant
at the Institute of Aerodynamics and Gas Dynamics (IAG) at the University of
Stuttgart
I want to extend my particular gratitude to my doctoral supervisor Prof Dr Claus-
Dieter Munz for giving me the opportunity to conduct my studies within his research
group and for providing outstanding working conditions that have granted me
vast scientific freedom I especially appreciate the endeavour of Prof Dr Stefanos
Fasoulas at the Institute of Space Systems (IRS) for the close and long lasting
cooperation with his group and for being co-referee to this thesis
A great many thanks to all colleagues in my working group at IAG, especially
Dr Andrea Beck, Dr Matthias Sonntag and Dr Thomas Bolemann with whom I
have shared countless profound conversations on numerical methods and computer
science
I direct a special thank you to Dr Florian Hindenlang at the Max Planck Institute
for Plasma Physics for being an excellent collaborator to work with on different
scientific subjects related to numerical methods in plasma physics
I greatly appreciate the collaborative research within the PICLas working group,
among others, Dr Philip Ortwein at IAG, Wladimir Reschke, Dr Tilman Binder,
Dr Asim Mirza, Dr Paul Nizenkov and particularly Dr Marcel Pfeiffer at the IRS
Many thanks to Prof Dr John Jelonnek, Dr Stefan Illy, Dr Konstantinos Avramidis,
Dr loannis Pagonakis and Alexander Marek at the Institute of Pulsed Power and
Microwave Technology at KIT for the supply of gyrotron related data and exceedingly
fruitful discussions within the field of gyrotron devices
I thank the Deutsche Forschungsgemeinschaft (DFG) for funding within the project
Coupled PIC-DSMC-Simulation of Laser Driven Ablative as Expansions, which
is a sub project of the collaborative research centre SFB716 at the University of
Stuttgart
v
Preface
I thank Prof Dr Johannes Roth and Eugen Eisfeld at the Institute for Functional
Matter and Quantum Technologies for the supply of molecular dynamics data and
the pursuit of coupling our simulation codes within the scope of the SFB716
I thank the Höchstleistungsrechenzentrum Stuttgart (HLRS) for providing parts of
the computational resources that were required for this work This work was also
partly performed on the computational resource ForHLR I funded by the Ministry
of Science, Research and the Arts Baden-Württemberg and DFG
I am truly grateful for the love and support of my wife Nicole and my family
Stuttgart, Tuesday 12th November, 2019
VI
Contents
Preface v
Symbols and abbreviations xi
Symbols xi
Constants xiv
Super- and subscripts xiv
Abbreviations
Kurzfassung xvii
Abstract xix
1 Introduction 1
1 1 Motivation 1
1 2 Current State of Research 1
1 3 Objectives 8
1 4 Outline 9
2 Theory 11
2 1 Mathematical Notation 11
2 2 Plasma Physics 12
221 Definition 12
222 Important Properties 13
223 Long-Range Forces and Collisions 16
2 3 Electromagnetism 16
231 Maxwell s Equations 17
232 Concepts of Conservation 19
233 Short Laser Pulses 21
2 4 Kinetic Theory of Gases 25
241 Boltzmann s Equation 25
242 Important Properties 26
243 Statistical Thermodynamics 27
244 Relaxation 33
vii
Contents
245 Chemical Reactions 33
246 Ionization 35
3 Numerics 39
3 1 Operator Splitting 39
3 2 Particle-ln-Cell Method 41
321 Shape Function 43
3 3 Discontinuous Galerkin Methods 46
331 Discontinuous Galerkin Spectral Element Method 51
332 Hybridizable DGSEM 60
3 4 Direct Simulation Monte Carlo Method 64
3 5 Time Discretization 69
351 Field Update 70
352 Particle Pusher 71
3 6 Accuracy and Stability Conditions 72
361 Electromagnetic Wave Propagation 73
362 PIC 74
363 DSMC 75
3 7 Particle Tracking 77
3 8 Parallelization 78
3 9 Coupling with Molecular Dynamics 83
4 Verification and Validation 87
4 1 Field solver 87
411 Electromagnetic Field Solver 88
412 Laser Boundary Condition 92
413 Electrostatic Field Solver 92
4 2 Particle Pusher: Inhomogeneous Magnetic Field 103
4 3 Particle-ln-Cell Test Case: Plasma Ball 107
4 4 Direct Simulation Monte Carlo Test Case: Reservoir 109
441 Relaxation Ill
442 Reaction Rates 112
443 Impact Ionization Reactions 116
444 Multiple Reaction Paths: Dissociation and Impact Ionization
Reactions 118
4 5 Parallel Efficiency 119
5 Applications 123
5 1 Electron Trapping in a MIG 123
511 Simulation Setup 124
VIII
Contents
512 Simulation Results 125
513 Conclusions 129
5 2 Gyrotron Resonator 130
521 30 GHz Resonator 130
522 140 GHz Resonator (W7-X) 135
523 Conclusions 145
5 3 Laser-Plasma Interaction 147
531 Interaction with thin films targets 147
532 Pre-ionized LTI 148
533 LTI including field ionization 152
534 LTI including collisions 158
535 Conclusions 160
6 Conclusion and Outlook 163
A Appendix 167
A l Characteristic Analysis of the PHM System 167
A11 Riemann Problem and Flux-Vector Splitting 168
A12 Riemann Solution and Boundary Conditions 173
A 2 Low-storage Explicit Runge-Kutta Coefficients 175
A21 4th-order 5-stage LSERK 175
A22 3rd-order 3-stage LSERK 175
A 3 Electronic Energy Levels 176
A 4 Species Properties 176
Bibliography 179
List of tables 203
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| spelling | Copplestone, Stephen M. Verfasser (DE-588)1203413084 aut Particle-based numerical methods for the simulation of electromagnetic plasma interactions Stephen M. Copplestone 1. Auflage München Verlag Dr. Hut 2019 xx, 210 Seiten Illustrationen, Diagramme 21 cm x 14.8 cm, 433 g txt rdacontent n rdamedia nc rdacarrier Dissertation University of Stuttgart 2019 Plasmaströmung (DE-588)4174836-0 gnd rswk-swf Elektromagnetische Wechselwirkung (DE-588)4014300-4 gnd rswk-swf Discontinuous Galerkin Particle-In-Cell Direct Simulation Monte Carlo (DE-588)4113937-9 Hochschulschrift gnd-content Plasmaströmung (DE-588)4174836-0 s Elektromagnetische Wechselwirkung (DE-588)4014300-4 s DE-604 Verlag Dr. Hut (München) (DE-588)10174118-2 pbl X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=54540fe04a8741da8af6e1c207751307&prov=M&dok_var=1&dok_ext=htm Inhaltstext X:MVB http://www.dr.hut-verlag.de/978-3-8439-4261-4.html HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031845610&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Copplestone, Stephen M. Particle-based numerical methods for the simulation of electromagnetic plasma interactions Plasmaströmung (DE-588)4174836-0 gnd Elektromagnetische Wechselwirkung (DE-588)4014300-4 gnd |
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| title | Particle-based numerical methods for the simulation of electromagnetic plasma interactions |
| title_auth | Particle-based numerical methods for the simulation of electromagnetic plasma interactions |
| title_exact_search | Particle-based numerical methods for the simulation of electromagnetic plasma interactions |
| title_full | Particle-based numerical methods for the simulation of electromagnetic plasma interactions Stephen M. Copplestone |
| title_fullStr | Particle-based numerical methods for the simulation of electromagnetic plasma interactions Stephen M. Copplestone |
| title_full_unstemmed | Particle-based numerical methods for the simulation of electromagnetic plasma interactions Stephen M. Copplestone |
| title_short | Particle-based numerical methods for the simulation of electromagnetic plasma interactions |
| title_sort | particle based numerical methods for the simulation of electromagnetic plasma interactions |
| topic | Plasmaströmung (DE-588)4174836-0 gnd Elektromagnetische Wechselwirkung (DE-588)4014300-4 gnd |
| topic_facet | Plasmaströmung Elektromagnetische Wechselwirkung Hochschulschrift |
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