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Modelling and simulation of fluid-structure interaction problems


Key facts

Type of research degree
Application deadline
Sunday 31 March 2024
Project start date
Tuesday 1 October 2024
Country eligibility
International (open to all nationalities, including the UK)
Competition funded
Source of funding
University of Leeds
Dr Yongxing Wang
Additional supervisors
Professor Peter Jimack
School of Computing
<h2 class="heading hide-accessible">Summary</h2>

This project aims to develop and implement fluid-structure interaction algorithms, including interface-fitted methods [1] and two-mesh methods [2] previously developed in our group. There are two potential focuses for this project:<br /> <br /> The first focus is to develop numerical methods, which involves the derivation and implementation of new techniques. The ideal candidate should be familiar with finite element methods, weak forms, and partial differential equations, specifically Navier-Stokes equation and solid mechanics equations. The implementation can be based on small benchmark problems.<br /> <br /> The second focus of this project is to implement and apply existing methods. This requires candidates who can carry out large-scale parallel simulations, such as using FreeFem++ and PETSc. Currently, we are particularly interested in two problems: simulation of biological swimmers (such as C. elegans) interacting with the surrounding viscous flow, and simulation of aortic valve interacting with surrounding tissue, as well as blood flow.<br /> <br /> For more details, please contact Dr. Yongxing Wang ( or Prof. Peter Jimack (<br /> <br /> [1] Wang Y, Jimack PK, Walkley MA, Pironneau O. 2020. An energy stable one-field monolithic arbitrary Lagrangian-Eulerian formulation for fluid-structure interaction. Journal of Fluids and Structures. 98<br /><br /> <br /> [2] Wang Y, Jimack PK, Walkley MA. 2017. A One-Field Monolithic Fictitious Domain Method for Fluid-Structure Interactions. Computer Methods in Applied Mechanics and Engineering. 317, pp. 1146-1168<br />

<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 Planned Course of Study section that you are applying for <em><strong>PHD Computing FT</strong></em> and in the research information section&nbsp;that the research degree you wish to be considered for is <em><strong>Numerical simulation of fluid-structure interaction problems</strong></em> as well as&nbsp;<a href="">Dr Yongxing Wang</a> as your proposed supervisor. Please state in the finance section that you are applying for the <em><strong>School of Computing Studentship.</strong></em></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>As an international research-intensive university, we welcome students from all walks of life and from across the world. We foster an inclusive environment where all can flourish and prosper, and we are proud of our strong commitment to student education. Across all Faculties we are dedicated to diversifying our community and we welcome the unique contributions that individuals can bring, and particularly encourage applications from, but not limited to Black, Asian, people who belong to a minority ethnic community, people who identify as LGBT+ and people with disabilities. Applicants will always be selected based on merit and ability.</em></p> <p class="MsoNoSpacing">Applications will be considered on an ongoing basis. &nbsp;Potential applicants are strongly encouraged to contact the supervisors for an informal discussion before making a formal application. &nbsp;We also advise that you apply at the earliest opportunity as the application and selection process may close early, should we receive a sufficient number of applications or that a suitable candidate is appointed.</p> <p>Please note that you must provide the following documents in support of your application by the closing date of 31 March 2024:</p> <ul> <li>Full Transcripts of all degree study or if in final year of study, full transcripts to date</li> <li>Personal Statement outlining your interest in the project</li> <li>CV</li> </ul>

<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 in the School of Computing is an IELTS of 6.5 overall with at least 6.5 in writing and 6.0 in reading, 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.

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

<p class="MsoNoSpacing">A highly competitive School of Computing Studentship consisting of the award of fees at the UK fee rate of &pound;4,712 (currently for session 2023/24) or Non-UK fee rate of &pound;26,500 with a maintenance grant (currently &pound;18,622 for session 2023/24) for 3.5 years.</p> <p>This opportunity is open to all applicants. All candidates will be placed into the School of Computing Studentship Competition and selection is based on academic merit.<br /> <br /> <strong>Important:</strong>&nbsp; Any costs associated with your arrival at the University of Leeds to start your PhD including flights, immigration health surcharge/medical insurance and Visa costs are not covered under this studentship.</p> <p>Please refer to the&nbsp;<a href="">UKCISA</a>&nbsp;website for&nbsp;information regarding Fee Status for Non-UK Nationals.</p>

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

<p>For further information about this project, please contact Dr Yongxing Wang by email to&nbsp;<a href=""></a></p> <p>For further information about your application, please contact Doctoral College Admissions by email to&nbsp;<a href=""></a></p>

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