Simulations Using Particles

 

Lecturers	Professor Petros Koumoutsakos
Teaching Assistants	Batman
Class Room	Guggenheim 202
Class Times	Tue and Thu: 9:00  – 10:30 AM
Material
Week 1	Introduction
Week 2	Particle Approximations and Particle-Mesh Interpolations
Week 3	Field Solvers: FFTs and Multipole Methods
Week 4	Vortex Methods – Smoothed Particle Hydordynamics – Particle Level Sets
Week 5	Intro for MD and LAMMPS, Scripts
Week 6	Time Integrators for Particles
Week 7	Field Solvers for Long Range Forces in Molecular Dynamics (P3M, PME methods)
Week 8	Molecular Dynamics for Nanoscale Fluid Mechanics LAMMPS Scripts
EXTRA	Dissipative Particle Dynaics

Exercises

• Two projects – equivalent to 30 hours of work each.
  • Project 1: Vortex Dynamics using Vortex methods
  • Project 2: Nanoscale Fluid Mechanics

Good Stuff (Books, Notes, Links, etc.)

• PARTICLE METHODS for CONTINUUM
  • Some notes on Simulations using Particles (Course in SIGGRAPH 2009)
  • Vortex Methods: Theory and Practice, by G.H. Cottet and P. Koumoutsakos
• PARTICLE METHODS for DISCRETE
  • A primer on Molecular Dynamics
  • Lectures by Gerhard Heirer on Hamiltonians and Symplectic Integrators (Lecture 1, Lecture 2, Lecture 3)
  • An introduction to Nanoscale Fluid Mechanics