UnitLevel 4Postgraduate

MTH4343 Magnetohydrodynamics and visualisation of scientific data

Faculty of Science

MTH4343 Magnetohydrodynamics and visualisation of scientific data is a level 4, 6-credit-point, postgraduate unit from the Faculty of Science, offered in 2020 in Semester 1 at Clayton. It has no prerequisites.

Credit points
6
Offered in 2020
Semester 1
Clayton

This is the 2020 handbook entry. See the 2026 entry.

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Requisites

Before MTH4343

No prerequisites or corequisites besides the enrolment rules below.

After MTH4343

No unit lists MTH4343 as a prerequisite in the 2020 handbook.

Enrolment rules

PROHIBITION: MTH5343

COREQUISITE: Enrolment in the Master of Mathematics

Equivalent units

The same content under another code. Only one of them counts.

Overview

This unit briefly discusses plasma physics, covering single particle motion and kinetic plasma theory, and then introduces the fluid description to derive the equations of magnetohydrodynamics (MHD). It then explores basic MHD, including ideal and dissipative MHD, magnetic hydrostatics, and MHD waves. A detailed spectral theory of MHD waves is developed. Applications will be made to solar structures and observations.

Stability and dynamics of solar features from the photosphere to corona will be analysed/simulated. These studies will be accompanied by the state-of-art visualisation techniques such as Python VTK, Mayavi and Paraview. Algorithms and ODE/PDE solvers to allow for Interactive MHD Visualisation will be an essential part of our tasks.

Offerings in 2020

Teaching periodCampusMode
First semesterClaytonOn campus

Learning outcomes

When you finish this unit, you should be able to:

  1. 1

    Develop advanced knowledge of the terms in the governing equations of kinetic and fluid theories.

  2. 2

    Identify the MHD equations and derive the associated mass and momentum conservation equations

  3. 3

    Identify the terms in the MHD version of Ohm's Law and use the equation to explain convection electric fields and frozen-in magnetic fields

  4. 4

    Demonstrate expert knowledge on magnetic pressure and tension forces

  5. 5

    Derive the dispersion equation for the basic MHD wave modes and describe their properties, such as propagation of magnetohydrodynamic waves

  6. 6

    Show using simple examples of how this system of equations can be applied to different astrophysical and laboratory phenomena.

  7. 7

    Reach a high level of achievement in writing and presenting sophisticated visualisation methods of computational visualisation

  8. 8

    Communicate complex information on waves and MHD theory with the use of visualisation methods.

Workload and teaching

3 hours of lectures and 1 hour of tutorial per week

8 hours independent study per week

Contacts

Chief Examiners
Professor Paul Cally
Unit Coordinators
Professor Paul Cally
Dr Alina Donea

Common questions

What are the prerequisites for MTH4343?

MTH4343 has no prerequisites, but enrolment rules apply.

When is MTH4343 offered?

In 2020, MTH4343 runs in Semester 1 at Clayton.

More details

Credit points
6
Level
4
Study level
Postgraduate
Faculty
Faculty of Science
Organisational unit
School of Mathematics
Type
Coursework
EFTSL
0.125
Student contribution
SCA Band 2
Study abroad
Not available
Handbook years
2020202120222023202420252026