Lecture Materials for PHYS:5905 Special Topics: Numerical Simulation of Plasmas

Below are links to the scanned PDF versions of the lecture notes handed out in class:

• Lecture #1: Introduction to Numerical Simulation of Plasmas
  1. Why Do We Pursue Computational Plasma Physics?
• Lecture #2: Single Particle Motion #1: Larmor Motion
  1. Lecture #2: Single Particle Motion
  2. Numerical Lecture #1: Euler Differencing
  3. Example Matlab Code: Larmor Motion Analytical Solution with plots
  4. Homework #2: In-class Exercises
• Lecture #3: Single Particle Motion #2: E x B Drift
  1. Numerical Lecture #2: Dimensionless Equations, Leapfrog Timestepping, and Coding Algorithm Choices
  2. Example Matlab Code: Switch-Case and Function Call Example
  3. Example Matlab Code: Function needed for Switch-Case and Function Call Example
  4. Homework #2b: In-class Exercises
• Lecture #4: Single Particle Motion #3: Grad B and Curvature Drift
  1. Numerical Lecture #3: Initializing Higher Order Schemes, Third-Order Adams-Bashforth
  2. Example Matlab Code: Magnetic Field
  3. Homework #3a: In-class Exercises
• Lecture #5: Single Particle Motion #4: Magnetic Mirror Force and Adiabatic Invariance
  1. Lecture #3: Mirror Force, Adiabatic Invariance, Polarization Drift, and Collisions
  2. Numerical Lecture #4: Invariants
  3. Homework #4a: In-class Exercises
• Lecture #6: Single Particle Motion #5: Runge-Kutta and Adaptive Stepsize Algorithms
  1. Numerical Lecture #5: Systems of ODEs, Runge-Kutta, and Adaptive Stepsize Algorithms
  2. Homework #4b: In-class Exercises
• Lecture #7: Single Particle Motion #6: Monte Carlo Collisions
  1. Numerical Lecture #6: Monte Carlo Implementation of Collisions
  2. Homework #5a: In-class Exercises
• Lecture #8: Computer Lab Time
  1. Continue working on HW#4 or HW#5.
• Lecture #9: Getting Online with Argon
  1. Homework #6a: In-class Exercises
  2. Unix: If you are unfamiliar with Unix commands, please review the references on Unix at the bottom of the Links and References page of this course website.
• Lecture #10: Single Particle Motion in Fortran90
  1. Homework #6b: In-class Exercises
  2. Example Fortran90 Code: E x B drift using Euler timestepping with analytical solution
• Lecture #11: The Equations of Magnetohydrodynamics (MHD) and Hydrodynamics
  1. Lecture #4: The Equations of Magnetohydrodynamics (MHD) and Hydrodynamics
• Lecture #12: Finite Differencing
  1. Numerical Lecture #7: Finite Differencing: 1D Linear Hydrodynamics
  2. Homework #7a: In-class Exercises
• Lecture #13: Numerical Stability
  1. Numerical Lecture #8: Numerical Stability
  2. Homework #8a: In-class Exercises
• Lecture #14: Phase and Amplitude Errors
  1. Homework #8b: In-class Exercises
• Lecture #15: Nonlinear Hydrodynamics
  1. Numerical Lecture #9: Nonlinear Hydrodynamics
  2. Homework #9a: In-class Exercises
  3. Proposed Remaining Lectures
  4. Semester Project
• Lecture #16: Kinetic Simulation
  1. Lecture #5: Kinetic Plasma Physics
  2. Numerical Lecture #10: Kinetic Simulation: Vlasov-Poisson Plasmas
  3. Homework #9b: In-class Exercises
• Lecture #17: Introduction to High Performance Computing and MPI Parallelization
  1. Numerical Lecture #11: Introduction to High Performance Computing
  2. Numerical Lecture #12: Parallel Programming Using MPI
  3. Handout: Message Passing Interface (MPI)
  4. Homework #10a: In-class Exercises
• Lecture #18: Design of Parallel Algorithms
  1. Numerical Lecture #13: Design of Parallel Algorithms
• Lecture #19: Multi-threading Using OpenMP
  1. Numerical Lecture #14: Introduction to OpenMP Parallelization (Ott)
  2. OpenMP 5.0 Reference Card
  3. Homework #11a: In-class Exercises
• Lecture #20: GPU Computing with CUDA
  1. Numerical Lecture #15: GPU Programming using CUDA
  2. Homework #11b: In-class Exercises
• Lecture #21: Parallel Performance and Optimization
  1. Numerical Lecture #16: Parallel Performance and Optimization
• Lecture #22: The Practice of High Performance Computing
  1. Numerical Lecture #17: The Practice of High Performance Computing
• Lecture #23: Implicit Methods
  1. Numerical Lecture #18: Implicit Timestepping Schemes
• Lecture #24: Comparison of Different Numerical Methods
  1. Numerical Lecture #19: Comparison of Finite Difference, Finite Element, and Spectral Methods
• Lecture #25: Major Plasma Simulation Approaches and Publicly Available Simulation Codes
  1. Numerical Lecture #20: Major Plasma Simulation Approaches and Publicly Available Simulation Codes
• Lecture #26: Applying for High-Performance Computing Allocations
  1. Numerical Lecture #21:Applying for High-Performance Computing Allocations
  2. Howes XSEDE Proposal 2016
  3. pack_xsede16_190501.tar.gz