Gas discharge plasma is the most common type of low-temperature plasma, with a large number of practical applications covering almost all areas of modern science and technology. This book is an introduction to the numerical modeling methods for gas discharge plasmas. It is intended to assist and direct graduate students and junior researchers, whose research activity deals with computational plasma physics. Topics covered include the essentials of basic modelling approaches (particle, fluid, and hybrid) for gas discharges, and the implementation of these methods with examples of glow (DC and RF) discharges. Numerical studies of nonlinear dynamics and formation of spatio-temporal patterns in gas discharge systems are also presented.
Key Features
- Focuses solely on gas discharge plasmas
- Covers basic modelling techniques, including particle, fluid, and hybrid
- Provides details of applications and implementation for the considered methods
- Special emphasis is given to the applicability and reliability of different modelling techniques
- Provides specific examples of numerical simulations of the gas discharge plasmas
Author(s): Ismail Rafatov, Anatoly Kudryavtsev
Publisher: IOP Publishing
Year: 2021
Language: English
Pages: 123
City: Bristol
PRELIMS.pdf
Preface
Author biographies
Ismail Rafatov
Anatoly Kudryavtsev
Symbols
CH001.pdf
Chapter 1 Modeling approaches for gas discharge plasmas
1.1 Introduction
1.1.1 Basic modeling approaches
1.2 Boltzmann kinetic equation and derivation of balance equations for the density, momentum, and energy of plasma particles
1.3 Two-fluid equations for plasma
Exercise 1 (Derivation of fluid equations)
1.4 Fluid equations of plasma in drift–diffusion approximation
1.5 Limitations and applicability of the fluid model
References
CH002.pdf
Chapter 2 Numerical simulation of gas discharges: fluid, particle, and hybrid methods
2.1 Preliminary technique
2.1.1 Basic concepts and definitions
2.1.2 Finite-difference schemes for steady convection–diffusion equation
2.1.3 Numerical solution of a system with three-diagonal matrix: Thomas (TDMA) algorithm
2.1.4 Numerical methods of solution of non-linear (quasi-linear) convection–diffusion equation
2.2 Finite volume method (FVM) for convection–diffusion equation
2.2.1 Steady diffusion equation
2.2.2 Steady convection and diffusion equation
2.2.3 Time-dependent diffusion equation
2.2.4 Time-dependent convection and diffusion equation
2.3 Fluid models for gas discharge
2.3.1 Simple fluid model
2.3.2 Extended fluid model
2.4 PIC/MCC method for simulation of gas discharges
2.4.1 PIC/MCC simulation method
2.4.2 PIC/MCC simulation of capacitively coupled RF discharge in argon
2.5 Hybrid MC–fluid modeling of gas discharges
2.5.1 Spatially 1D modeling
2.5.2 Results of 1D numerical implementation
2.5.3 Spatially 2D implementation
References
CH003.pdf
Chapter 3 Numerical analysis of non-linear dynamics and transition to chaos in a gas discharge–semiconductor system
3.1 Model
3.1.1 Governing equations
3.1.2 Boundary conditions
3.2 Non-linear oscillations and transition to chaos in a gas discharge–semiconductor system
3.2.1 Reducing of model equations and non-dimensionalization
3.2.2 Input parameters
3.2.3 Transition from periodical to fully chaotic oscillations
3.3 Pattern formation in the gas discharge–semiconductor system
3.3.1 Input parameters
3.3.2 Multiple stationary patterns
3.3.3 Comparison of computed and experimental results
3.3.4 Linear stability analysis
3.3.5 Spontaneous division of current filaments
References
