Introduction to Simulation Methods for Gas Discharge Plasmas: Accuracy, reliability and limitations

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