- Type of research degree
- Application deadline
- Ongoing deadline
- Country eligibility
- International (open to all nationalities, including the UK)
- Competition funded
- Professor Steven Tobias
- School of Mathematics
- Research groups/institutes
- Applied Mathematics
This project is to implement the new technique of Direct Statistical Simulation for a range of Astrophysical and Geophysical Flows. Complicated fluid dynamical processes are often investigated using Direct Numerical Simulation of the underlying partial differential equations of fluid mechanics. Many techniques are available for solving for the dynamics of such systems efficiently. However, these techniques are often prohibitively expensive for calculating statistics, which are usually the objects of interest in geophysics and astrophysics.<br /> <br /> In this project, we shall develop and utilise the new technique of Direct Statistical Simulation (DSS) where the statistics of the flow are solved for directly using cumulant hierarchies.<br /> <br /> This novel technique has proven to be extremely efficient for problems with non-trivial mean behaviour and non-local interactions. However, there is much to understand about this procedure, which makes it an ideal topic for a PhD. As this technique is extremely general it can be applied to many problems of geophysical and astrophysical interest such as the formation of jets in planets and the oceans, differential rotation in stars, instabilities in stellar and planetary interiors and atmospheres and the dynamics of accretion disks and astrophysical dynamos.<br /> <br /> This research is to be carried out in the Astrophysical and Geophysical Fluid Dynamics research group, which is one of the largest such research groups in the world.
<p>This research is to be carried out in the <a href="https://agfd.leeds.ac.uk/">Astrophysical and Geophysical Fluid Dynamics research group</a><a href="physicalsciences.leeds.ac.uk/info/151/astrophysical_and_geophysical_fluid_dynamics">,</a> which is one of the largest such research groups in the world.</p> <p> </p> <p> </p>
<p>Formal applications for research degree study should be made online through the <a href="https://www.leeds.ac.uk/info/130206/applying/91/applying_for_research_degrees">University's website</a>. Please state clearly in the Planned Course of Study section that you are applying for <em><strong>PHD Applied Mathematics FT</strong></em> and in the research information section that the research degree you wish to be considered for is <em><strong>Direct Statistical Simulation of Mulitscale Fluids</strong></em> as well as <a href="https://physicalsciences.leeds.ac.uk/staff/86/professor-steven-tobias">Prof Steven Tobias</a> as your proposed supervisor.</p> <p>If English is not your first language, you must provide evidence that you meet the University's minimum English language requirements (below).</p> <p> </p>
Applicants to research degree programmes should normally have at least a first class or an upper second class British Bachelors Honours degree (or equivalent) in an appropriate discipline. The criteria for entry for some research degrees may be higher, for example, several faculties, also require a Masters degree. Applicants are advised to check with the relevant School prior to making an application. Applicants who are uncertain about the requirements for a particular research degree are advised to contact the School or Graduate School prior to making an application.
The minimum English language entry requirement for research postgraduate research study is an IELTS of 6.0 overall with at least 5.5 in each component (reading, writing, listening and speaking) or equivalent. The test must be dated within two years of the start date of the course in order to be valid. Some schools and faculties have a higher requirement.
<p><strong>Self-Funded or externally sponsored students are welcome to apply.</strong></p> <p><strong>UK </strong>– The <a href="https://phd.leeds.ac.uk/funding/209-leeds-doctoral-scholarships-2022">Leeds Doctoral Scholarships</a>, <a href="https://phd.leeds.ac.uk/funding/198-akroyd-and-brown-scholarship-2022">Akroyd & Brown</a>, <a href="https://phd.leeds.ac.uk/funding/199-frank-parkinson-scholarship-2022">Frank Parkinson</a> and <a href="https://phd.leeds.ac.uk/funding/204-boothman-reynolds-and-smithells-scholarship-2022">Boothman, Reynolds & Smithells</a> Scholarships are available to UK applicants. <a href="https://phd.leeds.ac.uk/funding/60-alumni-bursary">Alumni Bursary</a> is available to graduates of the University of Leeds.</p> <p><strong>Non-UK </strong>– The <a href="https://phd.leeds.ac.uk/funding/48-china-scholarship-council-university-of-leeds-scholarships-2021">China Scholarship Council - University of Leeds Scholarship</a> is available to nationals of China. The <a href="https://phd.leeds.ac.uk/funding/73-leeds-marshall-scholarship">Leeds Marshall Scholarship</a> is available to support US citizens. <a href="https://phd.leeds.ac.uk/funding/60-alumni-bursary">Alumni Bursary</a> is available to graduates of the University of Leeds.</p>
<p>For further information regarding your application, please contact Doctoral College Admissions by email: <a href="mailto:EMAIL@leeds.ac.uk">m</a><a href="mailto:email@example.com">firstname.lastname@example.org</a>, or by telephone: +44 (0)113 343 5057</p> <p>For further information about this project, please contact Professor Steven Tobias by email: <a href="mailto:S.M.Tobias@leeds.ac.uk">S.M.Tobias@leeds.ac.uk</a></p>
<h3 class="heading heading--sm">Linked research areas</h3>