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Improvement of Eulerian form of SPH

This is proposal for a PhD project on reformulation of the Eulerian form of the Smooth Particle Hydrodynamics (ESPH) method and the development of methods for stabilisation of ESPH. This is intended for modelling of damage and failure of solids mainly the specific case of quasi-static and dynamic elasticity. The stable form of the ESPH should allow for more accurate modelling of damage initiation, evolution and localisation as well as crack initiation, propagation and branching. The research project will focus first on problems posed in two-dimensional spatial domains, with the later intention to extend and implement the work in a 3D SPH code. This new computational tool will be validated and applied to selected industrial problems such as modelling of bird strike on composite aircraft structures and modelling of crack propagation in pressurised pipes. The research involves applied mathematics, solid mechanics and scientific computing (in, for example, Fortran or C/C++). The ideal candidate will have experience of numerical approximation of partial differential equations, although candidates lacking that specific experience should not be deterred from applying.

How to apply

If you are interested in applying for the above PhD topic please follow the steps below:

  1. Contact the supervisor by email or phone to discuss your interest and find out if you would be suitable. Supervisor details can be found on this topic page. The supervisor will guide you in developing the topic-specific research proposal, which will form part of your application.
  2. Click on the 'Apply here' button on this page and you will be taken to the relevant PhD course page, where you can apply using an online application.
  3. Complete the online application indicating your selected supervisor and include the research proposal for the topic you have selected.

Good luck!

This is a self funded topic

Brunel offers a number of funding options to research students that help cover the cost of their tuition fees, contribute to living expenses or both. See more information here: https://www.brunel.ac.uk/research/Research-degrees/Research-degree-funding. The UK Government is also offering Doctoral Student Loans for eligible students, and there is some funding available through the Research Councils. Many of our international students benefit from funding provided by their governments or employers. Brunel alumni enjoy tuition fee discounts of 15%.