Skip to main content
Dr Matthew Moore

Dr Matt Moore

Lecturer in Applied Mathematics

Faculty and Department

  • Faculty of Science and Engineering
  • School of Natural Sciences

Qualifications

  • MA (University of Oxford)
  • MSc (University of Oxford)
  • PhD (University of Oxford)

Summary

I am an applied mathematician specializing in developing models for industrial and real-world problems. I employ a range of sophisticated analytical and numerical techniques such as asymptotic analysis and applied complex analysis to gain insight into the key underlying physics of a problem.

I undertook my DPhil in Mathematics at the University of Oxford from 2010-2014. My research focussed on water-entry & impact dynamics, with applications in ship slamming, droplet impact and jet break-up / aerosol formation. In particular, I studied 'oblique' water-entry, in which a solid body enters a liquid at a sharp angle - think a sea-plane landing on the ocean, or skimming a stone at the seaside. My research on oblique impact was a finalist for the IMA Lighthill-Thwaites prize in 2013.

After finishing my DPhil, I spent three years at Imperial College London working on the Innovate UK-funded SANTANA project looking at ice formation on aircraft. The work was in collaboration with Bombardier.

In 2017, I moved back to Oxford to undertake the Darby Fellowship in Applied Mathematics at Lincoln College, an early-career research position. I established a number of new collaborations looking at droplet impact, the famous 'coffee-ring effect', as well as several projects with Oxford Engineering looking at fretting fatigue and material wear.

I took up my current position as Lecturer in Applied Mathematics at Hull in September 2021.

I am currently module leader for two undergraduate Mathematics courses:

- Analysis,

- Partial Differential Equations.

I am also the module leader for the MSc Mathematics course on Advanced Fluid Dynamics.

Recent outputs

View more outputs

Journal Article

A novel asymptotic formulation for partial slip half-plane frictional contact problems

Moore, M., & Hills, D. (2022). A novel asymptotic formulation for partial slip half-plane frictional contact problems. Theoretical and Applied Fracture Mechanics, 121, Article 103457. https://doi.org/10.1016/j.tafmec.2022.103457

The nascent coffee ring with arbitrary droplet contact set: an asymptotic analysis

Moore, M., Vella, D., & Oliver, J. (2022). The nascent coffee ring with arbitrary droplet contact set: an asymptotic analysis. Journal of Fluid Mechanics, 940, Article A38. https://doi.org/10.1017/jfm.2022.251

Analysing the accuracy of asymptotic approximations in incomplete contact problems

Moore, M., & Hills, D. (2022). Analysing the accuracy of asymptotic approximations in incomplete contact problems. International Journal of Solids and Structures, 253, Article 111557. https://doi.org/10.1016/j.ijsolstr.2022.111557

Introducing pre-impact air-cushioning effects into the Wagner model of impact theory

Moore, M. R. (2021). Introducing pre-impact air-cushioning effects into the Wagner model of impact theory. Journal of engineering mathematics, 129(1), Article 6. https://doi.org/10.1007/s10665-021-10137-z

The nascent coffee ring: how solute diffusion counters advection

Moore, M., Vella, D., & Oliver, J. (2021). The nascent coffee ring: how solute diffusion counters advection. Journal of Fluid Mechanics, 920, Article A54. https://doi.org/10.1017/jfm.2021.463

Research interests

The majority of my research background is in continuum mechanics - particularly fluid dynamics. I have worked for a number of years in problems on impact dynamics and splashing, with applications varying from ship hydrodynamics to ink-jet & 3D printing to aerosol formation and composition.

More recently, I have been interested in droplet evaporation and the 'coffee-ring effect'. This has applications in, for example, aligning DNA molecules to aid mapping, achieving a uniform deposition in inkjet printing and in printing microstructures and colloid arrays.

I have also worked extensively in solid mechanics, in particular in contact mechanics. I have worked with a number of industrial partners such as Rolls Royce and FMC/Equinor looking at the problem of partial slip & fretting fatigue in large industrial machinery such as the in wind turbines and oil-well heads.

Postgraduate supervision

My expertise is in applying asymptotic and numerical methods to reduced mathematical models inspired by real-world problems.

If you are looking to do a PhD in industrial &applied mathematics, my research interests cover:

- Fluid dynamics - splashing & water impact, aerodynamic flows, jets, evaporation & the coffee-ring effect

- Solid mechanics - wear and lubrication in contact mechanics & tribology.

- Stefan problems & phase change - aircraft icing, decontamination, silicon extraction.

If any of these sound interesting, get in touch. Moreover, if you have ideas about research in different areas of applied mathematics, please let me know as I am always interested in looking into new areas!

Awards and prizes

Finalist for the IMA Lighthill-Thwaites Prize

2013

I was selected as a finalist for the 2013 Lighthill-Thwaites Prize in Applied Mathematics for my work on angled three-dimensional water-entry problems - think stone-skimming! I presented in a special mini-symposium at the British Applied Mathematics Colloquium 2013 in Leeds and was invited to submit a paper to a special issue of the IMA Journal of Applied Mathematics. I placed 3rd in the final.

Membership/Fellowship of professional body

Member of the Institute of Mathematics & its Applications

2019

Other

'On the cover' for Journal of Fluid Mechanics

2022

My work on the coffee-ring effect with co-authors Jim Oliver & Dominic Vella at the University of Oxford was chosen for the cover of volume 940 of the Journal of Fluid Mechanics.

Top