Detailed course instructions and material is posted on Compass 2g at the following link:
https://compass2g.illinois.edu/
Few general course information is reported in this page.
Instructors
Dr. Davide Curreli
Office: 111J Talbot Laboratory, MC-234
Office Phone Number: (217) 300-1787
104 South Wright Street, Urbana IL 61801
Jon Drobny
Office: 129 Computing Applications Building
Shane Keniley
Office: 129 Computing Applications Building
Office Hours
Office Hours will be hold remotely via Zoom.
Instructors are available also via the Slack workspace
(links will be posted on Compass 2g)
Schedule
Mon Wed 3:00-4:50 PM
Online via Zoom, Zoom links posted on Compass 2g
Credit
4 credit hours
Prerequisite
NPRE 421
Grading
[80%] Computational Projects
[20%] For completing the in-class tutorials
[EXTRAS] Contribution to the Repositories, in-class participation, Slack discussions
Description
The course will cover the main numerical methods used to describe the matter in the state of plasma. The first part of the course will focus on particle methods as initial value problems, privileging finite-difference schemes in time (Euler, mid-point, Runge-Kutta, Cash-Karp, symplectic integrators) and including error quantification for each scheme, and the Von Neumann stability analysis. The second part will cover fluid plasma methods, comprising diffusion-advection-reaction problems, MHD, and Braginskii models. Discretizations for each model will be analyzed and discussed in detail, with exercises and examples at each step. The third part of the course will cover kinetic methods, mainly focusing on Boltzmann and Fokker-Planck models, and their most important discretization techniques.
Textbook
[0] Lecture notes
[1] R.W. Hockney, J.W. Eastwood, Computer Simulation Using Particles, CRC Press, 1989 C.K.
[2] Toshiki Tajima, Computational Plasma Physics, Westview Press, FIP 12, 2004
[3] Birdsall, A.B. Langdon, Plasma Physics via Computer Simulation, CRC Press, 2004
[4] Stephen Jardin, Computational Methods in Plasma Physics, Chapman & Hall/CRC Computational Science, CRC Press; 1 edition (June 2, 2010)
| W | D | Module | Content | Tutorials |
|
1 |
8/24 | Course intro. Software tools needed and installation. Surveys. Discussion on Tutorials and Projects | ||
| 8/26 |
Charged Particle Motion |
Magnetic Fields: structure, solution, examples, magnetic mirror, toroidal fields; BFIELD walkthrough | Tutorial M1-1 Magnetic Field Solutions |
|
|
2 |
8/31 | Particle Integrators Part 1: Initial value problems in space and time; FD schemes | ||
| 9/2 | Particle Integrators Part 2: Euler, mid-point, RK4; Hirt analysis; Von Neumann stability | Tutorial M1-2 ODE Integrators |
||
|
3 |
9/7 | Hands-on Session: Single Particle Motion in Uniform Electromagnetic Fields | Tutorial M1-3 Motion in Uniform Fields |
|
| 9/9 | Single Particle Motion in Curvilinear Electromagnetic Fields | Tutorial M1-4
Motion in Curvilinear Fields |
||
|
4 |
9/14 | Single Particle Motion in Curvilinear Electromagnetic Fields | Tutorial M1-5
Motion in Curvilinear Fields |
|
| 9/16 | Assignment of Computer Project Module 1 on Charged Particle Motion (due in 10 days) | |||
|
5 |
9/21 |
Particle Collisions |
N-Body problem between interacting charges and the Binary Collision Approximation (BCA) | Tutorial M2-1
N-body Problems |
| 9/23 | BCA: kinematics, distance of closest approach, deflection angle, scattering integral; atomic potential; interaction potential | Tutorial M2-2
Scattering Integral in RustBCA |
||
|
6 |
9/28 | BCA: Stopping Power and its Quadratures | Tutorial M2-3
Quadratures / Stopping Power |
|
| 9/30 | BCA: Range, Implantation, Sputtering and collective effects of plasma-surface interactions | Tutorial M2-4
Collective Phenomena |
||
|
7 |
10/5 | Assignment of Computer Project Module 2 on Charged Particle Collisions (due in 10 days) | ||
| 10/7 | Group session, discussion | |||
|
8 |
10/12 |
Fluid Models |
FD for Fluid problems Upwind, Leapfrog, with examples 1D advection | Tutorial M3-1
FD for Field Problems |
| 10/14 | FE for Fluid problems, the diffusion-advection-reaction problem, intro to MOOSE | Tutorial M3-2
FE for Field Problems |
||
|
9 |
10/19 | The ZAPDOS-CRANE tool: overview of the theory and structure of the input file | Tutorial M3-3
Practice on the Input File |
|
| 10/21 | Plasma Chemistry in CRANE: Argon Plasma and Nitrogen Plasma Discharges | Tutorial M3-4
Plasma Chemistry in CRANE |
||
|
10 |
10/26 | ZAPDOS-CRANE, 1D Dielectric Barrier Discharge | Tutorial M3-5
Dielectric Barrier Discharge |
|
| 10/28 | Assignment of Computer Project Module 3 on Fluid Methods (due in 10 days) | |||
| 11 | 11/2 |
Kinetic Models |
Kinetic Theory Part 1: PIC method and Operator Splitting | |
| 11/4 | Kinetic Theory Part 2: Fields and Collision Operators | |||
| 12 | 11/9 | PIC Theory Part 1 | ||
| 11/11 | PIC Theory Part 2 | |||
|
13 |
11/16 | Tutorial Session: PIC Exercise 1 Landau Damping | Tutorial M4-1
PIC Landau Damping |
|
| 11/18 | Tutorial Session: PIC Exercise 1 Two-stream | Tutorial M4-2
PIC Landau Damping |
||
| 14 | 11/23 | Thanksgiving | ||
| 11/25 | Thanksgiving | |||
|
15 |
11/30 | Tutorial Session: PIC Exercise 3 Particle in a Box | Tutorial M4-3
PIC Particle in a Box |
|
| 12/2 | Tutorial Session: PIC Exercise 4 Bump-on-Tail | Tutorial M4-4
PIC Bumb-on-Tail |
||
|
16 |
12/7 | Assignment of Computer Project Module 4 on Kinetic Methods (due in 10 days) | ||
| 12/9 | Group Session, discussion |