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Dr Stephen Millmore

Dr Stephen Millmore

Post Doctoral Research Associate

Office Phone: +44 (0)1223 747395


Stephen Millmore received his PhD from the University of Southampton in July 2010 under the supervision of Dr Ian Hawke.  He joined the Laboratory for Scientific Computing in a postdoctoral position researching the effects of ultrasonic excitation on supercooled water droplets as an anti-icing mechanism, sponsored by Boeing Research and Technology.  He has since worked on further projects for Boeing Research and Technology, simulating lightning strike on elastic-plastic substrates, and the numerical modelling of additive manufacturing techniques.  Both of these projects are currently ongoing.

He lectures for the MPhil is Scientific Computing for the course "Introduction to Computational Multiphysics", and supervises written assignments utilising the techniques taught in this course.  He is also cultivating a substantial collection of penguins on his desk.

Research Interests:

Stephen Millmore's research is primarily within computational fluid dynamics, and is specifically aimed at multiphysics situations where more than one material is present. He is particularly interested in developing the techniques suitable for coupling interfaces in a hyperbolic, Eulerian formulation using finite volume methods.  Current research is largely aeronautical in nature, and this requires the coupling of complex fluid systems with a range of elastic-plastic substrates used in aircraft skins.  The necessary boundary conditions have been developed for a cavitating water/vapour mixture, a resistive plasma arc (including magnetic field effects) and an reactive gas, all coupled to the aircraft substrate.  He is also interested in other multiphysics applications, including the dynamics of rock fragments in blast mining, interfaces within a neutron star under the effects of general relativity, and the effects of surface tension on water droplet interactions.

In addition to the numerical techniques for multimaterial interface, he also works on modelling the thermal effects responsible for melting and solidification of metals in additive manufacturing processes.  This is a multiscale problem where changes in the properties of a narrow laser beam can affect the overall quality of a large manufactured part.

Current Teaching:

MPhil in Scientific Computing, University of Cambridge:

  • Introduction to Computational Multiphysics (Michaelmas 2018)

Undergraduate supervisions, Selwyn College:

  • Vector Calculus (2013-)
  • Differential Equations (2014-)



  • Computational fluid dynamics
  • Diffuse interfaces
  • Eulerian elastic-plastic dynamics
  • Level set methods
  • Multiphysics
  • Plasma dynamics
  • Surface tension
  • Ghost Fluid Method
  • Detonation shock dynamics
  • Aircraft icing and anti-icing
  • Additive Manufacturing
  • Ultrasonic modulation of aircraft surfaces
  • Magnetohydrodynamics

Key Publications

  • A numerical methodology for simulating plasma arc-induced detonations, Michael L., Millmore ST., and Nikiforakis N., 16th International Detonation Symposium Proceedings (2018)
  • Numerical simulations of interfaces in relativistic hydrodynamics, Millmore, S.T. and Hawke, I. (2010), Classical and Quantum Gravity, 27, (1), 015007-[23pp]. (doi:10.1088/0264-9381/27/1/015007)
  • Interfaces in Numerical Relativistic Hydrodynamics, Stephen Millmore, PhD Thesis, University of Southampton, 2010.