Numerical Methods for Shallow Water Magnetohydrodynamics (SUSTech candidates only)


Please contact Professor David Hughes, Dr Stephen Griffiths (Leeds), or Professor Alexander Kurganov (SUSTech) to discuss this project further informally. 

Project description

The equations of shallow-water magnetohydrodynamics (SWMHD) describe the flow of a thin layer of electrically conducting fluid, and, over recent years, have become widely used as relatively simple model of astrophysical flows in planetary and stellar interiors. However, numerical methods for their solution remain primitive, relative to those available for the standard (geophysical) shallow-water equations. This PhD project would develop advanced numerical methods for SWMHD and apply them to astrophysical problems of interest, such as instabilities of zonal jets in the solar tachocline. It thus naturally combines expertise from our two institutions.    

The PhD student will spend (i) the 1st year in Leeds (in the Astrophysical and Geophysical Fluid Dynamics research group, joining our 30 staff and students), (ii) the next 2 years in SUSTech under the day-to-day supervision of Professor Kurganov, (iii) the final months in Leeds for thesis write-up and submission. Whilst the student is in China, the Leeds co-supervisors will maintain monthly contact by Skype, and visit annually.

Entry requirements

Applicants should have, or expect to obtain, a minimum equivalent of a UK upper second class honours degree in Mathematics or a related discipline.

How to apply

If English is not your first language, you must provide evidence that you have English language proficiency of at least IELTS 6.5 with no component below 6.0, or equivalent.

Applications should be submitted via SUSTech in the first instance. Following nomination by SUSTech, formal applications for Split-site research degree study should then be made online through the University of Leeds website. Please state clearly in the research information section that the PhD you wish to be considered for is ‘Numerical Methods for Shallow Water Magnetohydrodynamics (SUSTech candidates only)’ as well as Professor David Hughes & Dr Stephen Griffiths as your proposed supervisors.

If you require any further information please contact the Graduate School Office e: