UnitLevel 5Postgraduate

MTH5343 Magnetohydrodynamics and visualisation of scientific data

Faculty of Science

MTH5343 Magnetohydrodynamics and visualisation of scientific data is a level 5, 6-credit-point, postgraduate unit from the Faculty of Science. It isn't offered in 2025. It has no prerequisites.

Credit points
6
Offered in 2025
Not offered
Assessment
Exam 50%
and 1 other task

This is the 2025 handbook entry. See the 2027 entry.

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Requisites

Before MTH5343

No prerequisites or corequisites besides the enrolment rules below.

After MTH5343

No unit lists MTH5343 as a prerequisite in the 2025 handbook.

Enrolment rules

PROHIBITION: MTH4343

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, magnetohydrostatic, and MHD waves. A detailed spectral theory of MHD waves is developed. You are required to understand the dynamics of general plasma flows, wave modes in plasmas, instabilities, particle acceleration, and shocks.

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 Visualisation will be an essential part of our tasks.

Offerings in 2025

The 2025 handbook lists no offerings for MTH5343.

Assessment

  • Continuous assessmentDemonstration
    50%
  • Final assessment (3 hours and 10 minutes)Examination
    50%

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 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

  9. 9

    Develop MHD computer model data visualisation and analysis

Workload and teaching

  • Seminars36 hours
  • Applied sessions12 hours
  • 3 hours of seminars;
  • 1 hour of applied class and
  • 10 hours of 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 MTH5343?

MTH5343 has no prerequisites, but enrolment rules apply.

When is MTH5343 offered?

MTH5343 has no offerings listed in the 2025 handbook.

Does MTH5343 have an exam?

Yes. The exam is worth 50% of the final mark, alongside 1 other task.

More details

Credit points
6
Level
5
Study level
Postgraduate
Faculty
Faculty of Science
Organisational unit
School of Mathematics
Type
Coursework
EFTSL
0.125
Student contribution
SCA Band 1
Study abroad
Available