Aerospace Engineering : Fully Funded EPSRC PhD in Data-driven methods to accelerate discontinuous Galerkin solver for Boltzmann-BGK equation for rarefied, hypersonic flow

Not funded by a EU programme Is the Job related to staff position within a Research Infrastructure?
No
Offer Description
This PhD project will focus on developing data-driven methods to accelerate the Swansea University in-house discontinuous Galerkin (DG) finite element solver for the Boltzmann-BGK (BBGK) equation (developed by B.J. Evans, O. Hassan and K. Morgan). This solver directly solves the Boltzmann-BGK model equation for the velocity distribution function, which is a fundamental quantity in rarefied gas dynamics and statistical physics.
The BBGK equation is the governing equation for hypersonic, rarefied flow problems in aerospace and microfluidics, where the continuum and equilibrium assumptions of the Navier-Stokes equation are not eligible. Solving the BBGK equation is extremely challenging due to the high computational cost originating from its high dimensionality. As a deterministic method, the potential of a DG method for solving the hyperbolic BBGK equation has not yet been fully exploited by the rarefied gas dynamics community which continues to rely heavily on the costly direct simulation Monte Carlo (DSMC) method.
To date, there are few practical 3D solvers that address a direct solution of the Boltzmann-BGK equation. The project aims to integrate data-driven approaches, including but not limited to machine learning and reduced order modelling, into the DG finite element solver to reduce computational costs while maintaining accuracy. The key objective of this work will be to provide step-change solver acceleration using data-driven techniques to enhance the efficiency of Swansea's in-house DG-BBGK solver.
The student will further develop this world-leading solver, performing numerical studies of DG finite element methods and kinetic theories of rarefied gas dynamics, taking advantage of supercomputing resources at facilities based in Swansea, in the United Kingdom, and overseas. The student will also have the opportunity to participate in activities in the wider PGR research community within the Zienkiewicz Institute (ZI) for Data, AI and Modelling including HPC training sessions, the ZI research seminar series as well as financial support for attending international conferences. This project is expected to lead to collaborative research opportunities with our industry partners across the UK aerospace sector.
Where to apply Website

Research Field Engineering » Aerospace engineering Education Level Bachelor Degree or equivalent, IELTS 6.5 overall (with at least 6.0 in each individual component) or Swansea recognised equivalent.
Specific Requirements
Candidates must hold a UK Bachelor's degree with a minimum of Upper Second Class honours in Aerospace or a related subject. Or overseas Bachelor's degree deemed equivalent to UK Bachelor (by UK ECCTIS) and achieved a grade equivalent to UK Upper Second Class honours in Aerospace or a related subject.
Or a master's degree with a minimum overall grade at 'Merit' (or Non-UK equivalent as defined by Swansea University), Candidates must hold a UK Bachelor's degree with a minimum of Upper Second Class honours in Aerospace or a related subject. Or overseas Bachelor's degree deemed equivalent to UK Bachelor (by UK ECCTIS) and achieved a grade equivalent to UK Upper Second Class honours in Aerospace or a related subject.
Or a master's degree with a minimum overall grade at 'Merit'

This scholarship covers the full cost of UK tuition fees and an annual stipend of £19,237.