Variational principles of plasma confinement in 3D magnetic fields

This event aims to promote communications between computational mathematicians and plasma physicists, to seek solutions to the long-standing difficulties in computational plasma physics, and identify applications for newly developed algorithms and computational techniques.

schedule Date & time
31 Jan 2023 | 9am - 2 Feb 2023 | 5pm
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Plasma is the “fourth state of matter", consisting of electrons and ions that are not bonded to each other. Plasma physics studies the collective behaviour of plasmas and their interaction with electromagnetic field and gravity, and has a wide range of applications such as controlled fusion, space propulsion, astrophysics, solar physics and material processing. Modelling and simulation of magnetically confined plasmas are essential to understand the plasma behaviour in present day devices.

Variational principles and Hamiltonian methods provide very useful and efficient ways of determining the constants of motion, especially when nonlinear effects are under consideration. This event aims to mainly discuss how variational principles and Hamiltonian formulations can be implemented to model fluid plasma and energetic particle dynamics/transport in a magnetically confined plasma with special focus on 3-dimensional (non-axisymmetric) magnetic configurations e.g. stellarators.

Invited speakers

  • Professor Phil Morrison , University of Texas, Austin, USA
  • Professor Per Helander, Max Planck Institute of Plasma Physics, Germany
  • Professor Holger Dullin, University of Sydney, Australia
  • Dr. David Pfefferle, the University of Western Australia, Australia
  • Dr. Kenneth Duru, The Australian National University, Australia
  • Dr. Nathan Garland, Griffith University, Australia
  • Dr. Nathan Duignan, University of Sydney, Australia
  • Dr. Zhisong Qu, Nanyang Technological University Singapore
  • Dr. Naoki Sato, Tokyo University, Japan

Organsing committee

  • Arunav Kumar, Australian National University
  • Hooman Hezaveh, Australian National University
  • Matthew Hole, Australian National University

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schedule9.30 - 16.20

Time Speaker Session title
9.30   Welcome and Logistics
9.40 Phil Morrison Variational Principles and Hamiltonian formulations
11.10   Coffee Break
11.30 Holger Dullin On the Poisson structure of the symmetry reduced N-body problem
12:30   Lunch Break
13:30 David Pfefferle Euler-Poincaré reduction: a constrained variational problem framing spinning tops and fluids alike
14:30 David Perrella Global symmetries of divergence-free fields with first integrals,
15:00   Coffee Break
15:20 Nathan Duignan Separatrix crossings in Guiding Centre Motion: A first Look at Isoprominence
16:20   End of day


schedule9.00 - 16.30

Time Speaker Session title
9.00 Per Herlander Energy, entropy and plasma stability
10.30   Coffee Break
10.50 Matthew Hole Integrated Modelling Challenges in Fusion Energy Science
11.30 Nathan Garland Momentum space topology effects on runaway electron avalanche in tokamak plasmas
12.30   Lunch Break
13.30 Zhisong Qu and Pinak Mandal Potential application of deep learning in stellarator designs
14.30 Kenneth Duru Full-Spectrum Dispersion Relation Preserving Summation-By-Parts Operators
15:30   Coffee Break
15:50 Dean Muir Stable and accurate method for simulating anisotropic diffusion in toroidally confined magnetic fields
16:10 Matthew Thomas Using Available Energy to predict wave amplitude saturation
16:30   End of Day


schedule9.00 - 17.30

Time Speaker Session title
9.00 Naoki Sato Nested invariant tori foliating a vector field and its curl: toward MHD equilibria in toroidal domains without Euclidean isometries
10.00 Bob Dewar 3-D Reconnection Without Resistivity? A Weak Formulation of Ideal Magnetohydrodynamics
10.20   Coffee Break
10:35 Nicholas Bohlsen Integrated diagnostics for perturbed current tomography
11:05 Joshua Doak Anisotropic MHD Stability Scans of Ballooning Modes
11:25 Hooman Hezaveh Theory and simulation of energetic particle (driven) modes in tokamak plasmas
11:55   End of day
17:30 Per Herlander Public Lecture: Fusion Energy with a Twist


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