Plasma modeling: methods and applications
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bristol, UK
IOP Publishing
[2016]
|
| Edition: | Version: 20161201 |
| Series: | IOP plasma physics series
IOP expanding physics |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | 1 Band (verschiedene Seitenzählungen) Illustrationen, Diagramme |
| ISBN: | 9780750312011 |
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Record in the Search Index
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| adam_text | Contents
/1
Preface xiii
Acknowledgements xv
About the editors xvii
Contributors xviii
Part I Kinetic Theory
1 Boltzmann and Vlasov equations in plasma physics 1-1
1.1 Fundamentals 1-2
1.1.1 The convection operator 1-4
1.1.2 The collisional operator 1-6
1.1.3 Boltzmann’s H-theorem 1-9
1.1.4 The Vlasov equation 1-10
1.2 Cross sections 1-12
1.3 Solution of the Boltzmann equation 1-14
1.4 Plasma modeling numerical codes 1-17
Bibliography 1-19
2 The two-term Boltzmann equation 2-1
2.1 Two-term distribution 2-2
2.2 Differential equations 2-3
2.3 Quasi-stationary approximation 2-5
2.4 Electrons in flow 2-6
2.5 Electron energy distribution 2-8
2.5.1 Current anisotropy 2-9
2.5.2 Transport properties 2-9
2.5.3 Nozzle flow 2-10
2.6 The collision integral 2-11
2.6.1 Elastic collisions with heavy species 2-12
2.6.2 Electron-electron collisions 2-15
2.6.3 Inelastic and super-elastic collisions 2-16
2.6.4 Chemical processes 2-18
2.7 The numerical solution 2-19
2.8 Appendix: angle integrals 2-30
Bibliography 2-31
VII
Plasma Modeling
3 Multi-term and non-local electron Boltzmann equation 3-1
3.1 Introduction 3-1
3.2 Basic relations 3-2
3.2.1 Boltzmann equation of the electrons 3-3
3.2.2 Expansion of the velocity distribution 3-4
3.2.3 Macroscopic balances 3-8
3.3 Numerical treatment 3-10
3.3.1 Solution method for time-dependent conditions 3-11
3.3.2 Multi-term solution for space-dependent plasmas 3-18
3.4 Concluding remarks 3-27
Bibliography 3-28
4 Particle-based simulation of plasmas 4-1
4.1 Types of interacting systems 4-1
4.1.1 Strength of interaction 4-2
4.2 Computer simulation of interacting systems 4-3
4.3 The particle-in-cell method 4-5
4.3.1 Mathematical formulation of PIC 4-6
4.3.2 Selection of the particle shapes 4-8
4.3.3 Derivation of the equations of motion 4-9
4.4 Coupling with the field equations: spatial discretization on a grid 4-11
4.5 Temporal discretization of the particle methods 4-14
4.5.1 Explicit temporal discretization of the particle equations 4-15
4.5.2 Explicit PIC cycle 4-16
4.5.3 Electrostatic explicit methods 4-18
4.5.4 Stability of the explicit PIC method 4-19
4.6 Implicit particle methods 4-22
4.7 Annotated Python code 4-29
Bibliography 4-34
5 The ergodic method: plasma dynamics through a sequence of 5-1
equilibrium states
5.1 Introduction to the ergodic method 5-1
5.2 Expansion of spherical nanoplasmas 5-1
5.3 Electron dynamics in a Penning trap for technology applications 5-12
References 5-27
viii
Plasma Modeling
Part II Fluid and Hybrid Models
6 Fluid equations: derivation and simulation 6-1
6.1 Moments of the distribution function 6-1
6.2 Neutral gas 6-4
6.3 The two-fluid model 6-6
6.4 The single-fluid model 6-7
6.4.1 The hydrodynamic formulation 6-9
6.4.2 The closure of the system 6-11
6.5 The MHD equations 6-13
6.6 The reduced MHD model 6-14
6.7 Numerical simulations 6-17
6.7.1 Spatial discretization schemes 6-17
6.8 Time discretization schemes 6-18
6.9 An application of RMHD equations: magnetic reconnection 6-19
6.9.1 Linear analysis 6-20
6.9.2 Numerical simulation 6-21
Bibliography 6-24
7 Magnetohydrodynamics equations 7-1
7.1 MHD models 7-2
7.1.1 Model foundation 7-2
7.1.2 The MHD approximation 7-7
7.1.3 Non-equilibrium conditions 7-9
7.1.4 Magneto-quasi-statics 7-10
7.1.5 The general model 7-13
7.1.6 Ideal MHD 7-14
7.1.7 The low magnetic Reynolds number model 7-17
7.2 Numerical model 7-18
7.3 Applications 7-20
Bibliography 7-24
8 Self-consistent kinetics 8-1
8.1 The state-to-state approach 8-2
8.2 The collisional-radiative model 8-4
IX
Plasma Modeling
8.3 Vibrational kinetics 8-9
8.4 The self-consistent approach 8-13
Bibliography 8-18
9 Hybrid models 9-1
9.1 Basic assumptions and governing equations 9-2
9.2 Numerical implementation 9-4
9.2.1 The time-advance algorithm 9-4
9.2.2 Initialization and boundary conditions 9-6
9.3 Applications 9-7
9.3.1 The electrostatic case: plasma plume expansion and Langmuir 9-7
probes
9.3.2 Magnetostatic case: E x B field devices 9-10
9.3.3 The electromagnetic case: fusion and space plasmas 9-14
9.3.4 Spatially hybrid simulation: streamers and 9-15
laser-plasma interaction
Bibliography 9-17
Part III Applications
10 Radio frequency inductively coupled discharges 10-1
in thermal plasmas
10.1 Introduction 10-1
10.2 Physical model for an LTE inductively coupled plasma torch 10-2
10.2.1 Fluid dynamics model 10-2
10.2.2 Equations for the electromagnetic field 10-4
10.3 The numerical model for a plasma torch 10-5
10.3.1 Thermodynamic and transport properties 10-8
10.4 A conventional inductively coupled plasma torch at 10-8
atmospheric pressure
10.5 A resonant planar antenna as an inductive plasma source 10-12
at atmospheric pressure
10.5.1 Basic principles of the system: the Helyssen ideal 10-13
planar antenna
10.5.2 A real working system: geometrical and technical features 10-14
10.5.3 Computational model 10-16
10.5.4 Some results 10-17
Bibliography 10-21
x
Plasma Modeling
11 Atmospheric pressure plasmas operating in 11-1
high-frequency fields
11.1 Atmospheric pressure plasmas modeling in high-frequency fields 11-3
11.1.1 Transport properties of electrons in non-magnetized and 11-3
partially ionized gases
11.1.2 Treatment of ions and neutral species 11-12
11.1.3 Macroscopic equations for the weakly ionized gas flow 11-15
11.1.4 Electrodynamics 11-16
11.2 Application: contraction of an argon discharge 11-19
11.3 Conclusion 11-27
Bibliography 11-28
12 High-enthalpy radiating flows in aerophysics 12-1
12.1 Fluid dynamic model 12-4
12.2 Radiative gas dynamics of re-entry space vehicles 12-9
12.2.1 Fire-II 12-10
12.2.2 Stardust 12-11
12.2.3 RAM-C-II 12-14
12.2.4 ORION 12-17
12.2.5 PTV 12-20
12.2.6 MSL 12-26
12.3 Conclusions 12-27
Bibliography 12-28
13 Dust—plasma interaction: a review of dust charging 13-1
theory and simulation
13.1 Introduction 13-1
13.2 The basics of dust-plasma interaction 13-3
13.2.1 Repelled species (q^d 0) 13-4
13.2.2 Attracted species {q^d 0) 13-5
13.2.3 Summary of OML theory 13-9
13.2.4 Some important considerations 13-10
13.3 A note on the numerical solution of dust-plasma interaction 13-11
problems
13.4 Dust electron emission 13-13
13.4.1 The OML approach 13-14
13.4.2 Transition from negatively to positively charged states 13-18
xi
Plasma Modeling
13.5 Final remarks 13-23
Bibliography 13-24
14 Verification and validation in plasma physics 14-1
14.1 Introduction 14-1
14.2 The V V methodology 14-3
14.2.1 Code verification methodology 14-3
14.2.2 Solution verification methodology 14-4
14.2.3 Validation methodology 14-6
14.3 A practical example of using V V methodology 14-10
14.3.1 The TORPEX device, its diagnostics, and ancillary systems 14-10
14.3.2 The simulation model 14-13
14.3.3 Code verification 14-16
14.3.4 Solution verification 14-18
14.3.5 Validation 14-18
14.4 Conclusions 14-21
Acknowledgments 14-23
Bibliography 14-24
XU
■OP Expanding Physics
IOP Plasma Physics Series
Plasma Modeling
Methods and applications
Edited by Gianpiero Colonna and Antonio D’Angola
Plasma Modeling: Methods and applications presents and discusses the different approaches
that can be adopted for plasma modeling, giving details about theoretical and numerical
methods, enriched by a comprehensive bibliography for a deeper insight into the problem. The
book is intended to assist and direct students and researchers, who want to develop research
activity in the field of plasma physics, in the choice of the best model for the problem of
interest. Each chapter is focused on a specific problem and written by experts in the field, giving
details on computational techniques often not fully described in scientific papers. The book is
organised in three parts. The first describes kinetic models used in plasma investigations, such
as the two- and multi term approximations of the Boltzmann equation and the particle-in-cell
method, with the derivation of the basic equations. The second part develops the derivation
of the theory of fluid equations and of hybrid models. The third part is devoted to applications,
considering some practical problems of interestin different fields such as high-pressure
discharges, high-enthalpy flows and plasma torches.
About the editors
Gianpiero Colonna is Senior Researcher in the PLASMI-LAB atthe National Research Council
(CNR), Bari, Italy. His research activities are focused on plasma modeling, state-to-state
self-consistent kinetics in gas discharges and hypersonic flows, thermodynamic and transport
properties of plasmas, and modeling plasma plumes produced by nanosecond laser pulses.
Antonio D’Angola is Assistant Professor at the University of Basilicata in Italy. His scientific interests
are numerical methods forthe simulation of plasmas using particle-in-cell and Montecarlo codes,
the calculation of thermodynamic and transport properties of ionized plasmas for industrial and
aerospace applications, the investigations of radio-frequency thermal discharges, non-neutral
plasmas for ultra-high vacuum systems and laser-plasma interactions for medical applications.
About Expanding Physics
Expanding Physics publishes high-quality texts from leading voices across the research
landscape on key areas in physics and related subject areas.
iopscience.org/books
O lop I ebooks
|
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| spelling | Colonna, Gianpiero Verfasser (DE-588)1124178430 aut Plasma modeling methods and applications Gianpiero Colonna, Consiglio Nazionale delle Ricerche (CNR), PLASMI Lab at NANOTEC, Bari, Italy, Antonio D'Angola, Scuola di Ingegneria, Università della Basilicata, Potenza, Italy and Consiglio Nazionale delle Ricerche (CNR), PLASMI Lab at NANOTEC, Bari, Italy Version: 20161201 Bristol, UK IOP Publishing [2016] 1 Band (verschiedene Seitenzählungen) Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier IOP plasma physics series IOP expanding physics D'Angola, Antonio Verfasser (DE-588)1124178120 aut Erscheint auch als Online-Ausgabe 978-0-7503-1200-4 Erscheint auch als Online-Ausgabe, MOBI 978-0-7503-1202-8 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029443728&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029443728&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Colonna, Gianpiero D'Angola, Antonio Plasma modeling methods and applications |
| title | Plasma modeling methods and applications |
| title_auth | Plasma modeling methods and applications |
| title_exact_search | Plasma modeling methods and applications |
| title_full | Plasma modeling methods and applications Gianpiero Colonna, Consiglio Nazionale delle Ricerche (CNR), PLASMI Lab at NANOTEC, Bari, Italy, Antonio D'Angola, Scuola di Ingegneria, Università della Basilicata, Potenza, Italy and Consiglio Nazionale delle Ricerche (CNR), PLASMI Lab at NANOTEC, Bari, Italy |
| title_fullStr | Plasma modeling methods and applications Gianpiero Colonna, Consiglio Nazionale delle Ricerche (CNR), PLASMI Lab at NANOTEC, Bari, Italy, Antonio D'Angola, Scuola di Ingegneria, Università della Basilicata, Potenza, Italy and Consiglio Nazionale delle Ricerche (CNR), PLASMI Lab at NANOTEC, Bari, Italy |
| title_full_unstemmed | Plasma modeling methods and applications Gianpiero Colonna, Consiglio Nazionale delle Ricerche (CNR), PLASMI Lab at NANOTEC, Bari, Italy, Antonio D'Angola, Scuola di Ingegneria, Università della Basilicata, Potenza, Italy and Consiglio Nazionale delle Ricerche (CNR), PLASMI Lab at NANOTEC, Bari, Italy |
| title_short | Plasma modeling |
| title_sort | plasma modeling methods and applications |
| title_sub | methods and applications |
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