Mini-course/workshop on the application of computational mathematics to plasma physics
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. Numerical solution and simulation play a key role in plasma physics, especially for complicated geometry and highly nonlinear processes.
Computational mathematics is deeply embedded in plasma simulations, as the equations of interest are often high dimensional, nonlinear and sometimes singular. 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.
This event is part of the MSI Special Year 2019 in Computational Mathematics.
June 24-25: Mini-Course
The mini-course is intended to familiarise the students and staffs in both computational mathematics and plasma physics with numerical methods relevant to the workshop. It is also helpful as a recap for mathematicians, and an opportunity for physicist to understand the underlying mathematics of the relevant numerical codes.
Mini-Course Talks
Frank Jenko - A primer on gyrokinetics
Lei Chang - Introduction to Helicon Plasma
Kenneth Duru - Discontinuous Galerkin method and application in hyperbolic equations
David Pfefferle - Monte-Carlo/PIC methods to solve Vlasov-Boltzmann equation
Naoki Sato - An introduction to Beltrami fields in plasma and fluid dynamics
Stuart Hudson - Numerical construction of Beltrami fields and stepped-pressure equilibria
Apurv Kumar - Computational Multiphase Fluid Dynamics
Stephen Roberts - Uncertainty quantification
Sudi Mungkasi - Solutions to shallow water wave equations
Markus hegland / Yuancheng Zhou - Sparse grid method and applications
Rommel Real - An iterative regularization method for an inverse problem in plasma physics
June 26-27: Workshop
In the workshop, plasma physicists will describe unsolved or difficult computational plasma physics problems they have encountered in their work. Mathematicians will present potential applications of their work.
Workshop Talks
Frank Jenko - The gyrokinetic turbulence code GENE: Behind the scenes
Seikichi Matsuoka - Recent development of a global full-f gyrokinetic simulation code for stellarator/heliotron plasmas
Apurv Kumar - Multiphase flow modelling in Solar thermal
David Pfefferle - Monte-Carlo numerical solution of the Vlasov equation
Naoki Sato - Singular and asymmetric Beltrami field solutions of the ideal MHD equations
Stuart Hudson - Some mathematical problems associated with calculating 3D MHD equilibria
Lind Stals - Thin plate splines
Kenneth Duru - Theory and applications of perfectly matching layers
Matthew Hole - Integrated modelling and data fusion
Lei Chang - Gap modes using the ElectroMagnetic Solver
Greg Von Nessi - Using Bayesian inference in Tokamak equilibrium reconstruction
Stuart Hudson - Can Constructing “Chaotic coordinates” Help to Understand Transport in Non-Integrable Dynamical Systems?
George Coulloupas - The Satellite Wind Tunnel for studying LEO Objects in the Ionosphere
Hooman Hezaveh - The Theory of Long Range Frequency Chirping in Fusion Plasma
Nelson Egams - Extension of Energetic Geodesic Acoustic Modes to Passing Particle Popoulations
Nico Ranson - Nuclear Fusion in Inertial-Electrostatic Confinement Devices
Image: Speakers and Delegates
Invited speakers
- Prof. Frank Jenko, Max Planck Institute of Plasma Physics, Germany
- Dr. Stuart Hudson, Princeton Plasma Physics Laboratory
- Dr. David Pfefferle, the University of Western Australia
- A/Prof. Lei Chang, Sichuan University
- Dr. Naoki Sato, Kyoto University
-
Dr Seikichi Matsuoka, National Institute for Fusion Science
-
Dr Apurv Kumar, Australian National University
Organsing committee
- Zhisong Qu, Australian National University
- Matthew Hole, Australian National University
- Robert Dewar, Australian National University
Sessions
Time | Session | |
---|---|---|
Mini-course program | ||
8:30am - 8:40am | Opening and Logistics | |
8:40am-10:40am | A primer on gyrokinetics Frank Jenko | |
10:40am-11:00am | Coffee break | |
11:00am - 12:00pm | Introduction to Helicon Plasma Lei Chang | |
12:00pm - 1:00pm | Lunch | |
1:00pm - 2:00pm | Discontinuous Galerkin method and application in hyperbolic equations Kenneth Duru | |
2:00pm - 3:30pm | A Brief Tour of Smooth Manifolds, Symplectic Forms & Hamiltonian Mechanics. Peter Vassiliou | |
3:30pm - 4:00pm | Coffee break | |
4:00pm - 5:00pm | Monte-Carlo/PIC methods to solve Vlasov-Boltzmann equation David Pfefferle |
Time | Session | |
---|---|---|
Mini-course program | ||
8:40am - 9:40pm | An introduction to Beltrami fields in plasma and fluid dynamics Naoki Sato | |
9:40am-10:40pm | Numerical construction of Beltrami fields and stepped-pressure equilibria Stuart Hudson | |
10:40am-11:00am | Coffee break | |
11:00am-12:00pm | Computational Multiphase Fluid Dynamics Apurv Kumar | |
12:00pm-1:00pm | Lunch | |
1:00pm - 2:00pm | Uncertainty quantification Stephen Roberts | |
2:00pm - 2:30pm | Solutions to shallow water wave equations (tentative) Sudi Mungkasi | |
2:30pm - 3:30pm | Sparse grid method and applications Markus Hegland / Yuancheng Zhou | |
3:30pm - 4:00pm | Coffee break | |
4:00pm - 5:00pm | An iterative regularization method for an inverse problem in plasma physics Rommel Real |
Time | Session | |
---|---|---|
Workshop program | ||
8:50am - 9:00am | Opening and Logistics | |
9:00am - 10:00am | The gyrokinetic turbulence code GENE: Behind the scenes (Plenary) Frank Jenko | |
10:00am - 10:40pm | Recent development of a global full-f gyrokinetic simulation code for stellarator/heliotron plasmas Seikichi Matsuoka | |
10:40am - 11:00am | Coffee break | |
11:00am - 11:40pm | Multiphase flow modelling in Solar thermal Apurv Kumar | |
11:40am - 12:20pm | Monte-Carlo numerical solution of the Vlasov equation (tentative) David Pfefferle | |
12:20pm - 1:20pm | Lunch | |
12:20pm - 2:50pm | Student talks | |
2:50pm - 3:00pm | Summary and discussion | |
3:00pm - 3:20pm | Coffee break | |
3:20pm - 4:00pm | Singular and asymmetric Beltrami field solutions of the ideal MHD equations Naoki Sato | |
4:00pm - 4:40pm | Some mathematical problems associated with calculating 3D MHD equilibria Stuart Hudson | |
4:40pm - 5:20pm | Thin plate splines Linda Stals |
Time | Session | |
---|---|---|
Workshop program | ||
9:00am - 10:00am | Theory and applications of perfectly matching layers (plenary) Kenneth Duru | |
10:00am - 10:40pm | Integrated modelling and data fusion (tentative) Matthew Hole | |
10:40am - 11:00am | Coffee break | |
11:00am - 11:40pm | Gap modes using the ElectroMagnetic Solver Lei Chang | |
11:40am - 12:20pm | TBA Greg Von Nessi | |
12:20pm-1:20pm | Lunch | |
1:20pm - 3:20pm | Student talks | |
3:20pm - 3:30pm | Discussion and conclusion of the workshop | |
3:30pm - 4:00pm | MSI Colloquium Coffee | |
MSI Colloquium | ||
4:00pm - 5:00pm | Can Constructing “Chaotic coordinates” Help to Understand Transport in Non-Integrable Dynamical Systems? Stuart Hudson |
Registration is now open. Registration will close on the 17 June 2019.
AINSE is pleased to sponsor travel for students from interstate and NZ. To request this support please send an email to either Brittany Joyce (admin.research.msi@anu.edu.au) or Dr Zhisong Qu (zhisong.qu@anu.edu.au) together with a CV and a few sentences describing your current project and addressing why the workshop is helpful.
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