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Adaptive multilevel modelling of phase-change problems solidification and crystalization


Key facts

Type of research degree
Application deadline
Ongoing deadline
Country eligibility
International (open to all nationalities, including the UK)
Additional supervisors
Prof Peter Jimack
School of Computing
<h2 class="heading hide-accessible">Summary</h2>

This project would be undertaken in collaboration with the Institute of Materials Research (IMR) at the University of Leeds, following two previous successful collaborative PhD projects. Understanding the behaviour of metals and alloys as they solidify is of great importance in a range of processes, such as casting. The reason for this is that the material properties of the cast depend critically upon the behaviour at the advancing liquid-solid interface at the time of solidification. Perhaps the most important class of computational technique to have been developed for modelling such processes in recent years is called the phase-field method. This method approximates the interface by a smoothly varying function over a finite, but very narrow, region. At Leeds we have recently developed a world-leading capability for solving such phase-field models by combining mesh adaptivity, implicit adaptive time-stepping and nonlinear multigrid iterations. This has allowed us to solve a number of problems in physically realistic parameter regimes for the very first time. However, so far we have only applied these new techniques to a relatively small class of problems based upon binary alloy solidification and to simulate highly directional simulation involving primary branches only. This project would seek to extend our state-of-the-art computational algorithms to incorporate new features such as more complex (and physically realistic) alloys and more general solidification patterns, such as side-branching of dendrites.

<h2 class="heading">How to apply</h2>

<p>Formal applications for research degree study should be made online through the&nbsp;<a href="">University&#39;s website</a>. Please state clearly in the research information section&nbsp;that the research degree you wish to be considered for is &lsquo;Adaptive multilevel modelling of phase-change problems solidification and crystalization&rsquo; as well as&nbsp;<a href="">Prof Peter Jimack</a>&nbsp;as your proposed supervisor.</p> <p>If English is not your first language, you must provide evidence that you meet the University&#39;s minimum English language requirements (below).</p> <p><em>We welcome applications from all suitably-qualified candidates, but UK black and minority ethnic (BME) researchers are currently under-represented in our Postgraduate Research community, and we would therefore particularly encourage applications from UK BME candidates. All scholarships will be awarded on the basis of merit.</em></p>

<h2 class="heading heading--sm">Entry requirements</h2>

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.

<h2 class="heading heading--sm">English language requirements</h2>

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.

<h2 class="heading">Funding on offer</h2>

<p>Self-funded students only</p>

<h2 class="heading">Contact details</h2>

<p>For further information regarding your appliction,&nbsp;please contact Doctoral College Admisisons by email:&nbsp;<a href=""></a>, or by telephone: +44 (0)113 343 5057.</p> <p>For further information regarding the project, please contact Professor Peter Jimack by email:&nbsp;&nbsp;<a href=""></a></p>

<h3 class="heading heading--sm">Linked funding opportunities</h3>
<h3 class="heading heading--sm">Linked research areas</h3>