Internal solitary waves of mode-2: theory, models and experiments (Ref: RB/MA/2024)

Exciting opportunity to join Loughborough University and contribute to a recently awarded Leverhulme-funded project on Internal solitary waves of mode-2: theory, models and experiments.

A joint mathematical and experimental study of mode-2 internal solitary waves (ISWs) is proposed. ISWs travel along density interfaces within stably stratified fluids. They are composed of a single or very few pulses. Their mode number refers to the number of directions in which they displace lines of constant density. Mode-1 waves have the simplest structure and are extensively studied and understood. Mode-2 waves have typically a bulbous like shape. Recent field observations show that mode-2 ISWs are an important source of mass transport and mixing within our oceans but a comprehensive mathematical and physical description of them is currently lacking.

This project spans the interface between experimental fluid dynamics and applied mathematics and will make significant contributions to both areas. The goal is to uncover a mathematical and physical description of mode-2 ISWs and to ultimately enhance our understanding of these waves within our oceans and other stably stratified fluids. The research will provide for the first time, a comprehensive combined mathematical, computational, and experimental study of mode-2 ISWs. Building on recent results of the research team who were the first to discover solutions of the fluid dynamic equations describing these waves and generate them in the laboratory for realistic oceanic density profiles.

The candidate will be supervised by Dr. Ricardo Barros at Loughborough University and in addition will work closely with co-investigators Dr Magda Carr (Newcastle University) and Prof Paul Milewski (University of Bath & Penn State University).

This opportunity presents the role holder with the following prospects:

• The opportunity to collaborate with world-leading academic experts on stably stratified flows, in the field of internal waves.
• The opportunity to work in a cross-disciplinary team utilising a range of techniques including experiments, numerical modelling, and applied mathematics.
• Publishing research in high quality journals and presenting papers at international conferences.

Entry requirements:

Applicant should have, or expect to achieve, a 2:1 honours (or international equivalent) in mathematics, engineering, or another relevant discipline. A relevant Master’s degree will be desirable, as is demonstrable experience/interest in numerical methods for ODEs/PDEs. Applicants should have very good communication and written skills, and the ability to work independently, and flexibly as part of a multi-disciplinary team.

English language requirements:

Applicants must meet the minimum English language requirements. Further details are available on the International website.

Funding information:

The studentship is for 3 years, with potential extension up to additional 6 months subject to external funding. The studentship award will provide a tax-free stipend of £19,237 per annum for the duration of the studentship plus tuition fees at the UK rate. Due to funding restrictions, this is only available to those eligible for UK fees.

Funding information:

All applications should be made online. Under programme name, select Mathematical Sciences. Please quote the advertised reference number: RB/MA/2024 in your application.

To avoid delays in processing your application, please ensure that you submit the minimum supporting documents, including a CV.

The following selection criteria will be used by academic schools to help them make a decision on your application.

Project search terms:

applied mathematics, fluid mechanics, geophysics, mathematical modelling, fluid dynamics, stratified fluids, nonlinear waves, internal waves, partial differential equations, ordinary differential equations

Email Address Sci:

sci-pgr@lboro.ac.uk