Research in Applied Mathematics


I am currently a DARE-funded research fellow (0.5FTE, since August 2018) in the School of Mathematics at the University of Leeds. From January 2018 to August 2020, I was also a teaching assistant (0.5FTE). Previously, I completed a PhD and held a short postdoctoral research position here (2013-17), working with Onno Bokhove and Steve Tobias, before taking some time out for half a year travelling around the UK, Europe, and NZ. Before finding myself in Leeds, I completed degrees at the Universities of Bristol (BSc Maths; 2007-2011) and Birmingham (MSc Meteorology; 2011/12) with a couple of spells in Germany (Dresden for Erasmus in 2009/10 and Kiel for some post-MSc research in 2012). For more info, have a look at the pages linked on the left, and below...


My research interests concern the mathematical and statistical modelling of atmospheric and environmental phenomena, including (but not limited to!):

  • > geophysical fluid dynamics,
  • > numerical methods for (conservative and non-conservative) hyperbolic problems,
  • > hydraulic and shallow water-type modelling,
  • > data assimilation,
  • > numerical weather prediction,
  • > flood modelling and mitigation,
  • > climate downscaling and bias correction.

News and events

18 Dec. 2020: An article (preprint) published on EarthArXiv: 'Idealized forecast-assimilation experiments for convective-scale Numerical Weather Prediction'. Thanks to all co-authors for their contributions!

28 Oct. 2020: presenting at the Fluids ECR webinar.

23 Sept. 2020: DARE blog post summarising our submission to DEFRA's flooding inquiry.

15 Sept. 2020: introducing the new Flood-Excess-Volume github site: several case studies including source code and output. See each river's repository for more info.

2 Sept. 2020: written evidence submitted to the UK Gov's DEFRA flooding inquiry.

August 2020: GitHub updated with three new repos, incl. documentation and source code, on (i) Wetropolis modelling, (ii) well-balanced shallow-water flows, and (iii) some old work on the shallow-water Riemann problem.

1 August 2020: DARE pilot project 'Wetropolis rainfall and flood demonstrator: real-time simulations with data assimilation' starts, til Dec. 2020.

11-12 June 2020: 'Flood modelling and forecasting challenges in industry' workshop, University of Sheffield. Invited keynote and Wetropolis showcase. [CANCELLED due to Covid-19.]

5 June 2020: A short article (preprint) published on arXiv:2006.03370: 'Ensuring well-balanced shallow water flows via a discontinuous Galerkin finite element method: issues at lowest order'. Original manuscript rejected by JCP (as a short research note).

14 May 2020: 'Wetropolis extreme rainfall and flood demonstrator: from mathematical design to outreach', published by HESS (Education and communication). Subsequently selected as a highlight article -- well done everyone!

31 March 2020: Some news items on our recently published work, from the university and the Yorkshire Post.

28 Feb. 2020: 'A Cost-Effectiveness Protocol for Flood-Mitigation Plans Based on Leeds’ Boxing Day 2015 Floods', published by Water.

20 Feb. 2020: Nominated for a Leeds Partnership award -- I don't know the details but thanks to whoever made the nomination!

21 Jan. 2020: DARE blog post summarising some of our recent work.

29 Aug. 2019: 'Communicating (nature‐based) flood‐mitigation schemes using flood‐excess volume', published by River Research and Applications. Online:

27 May 2019: 'Wetropolis... from mathematical design to outreach and research', published online as a HESS discussion paper. See also corresponding GitHub site.

16-17 May 2019: We are hosting a workshop in Leeds, focussing on idealised models of (convective-scale) Numerical Weather Prediction and their use in data assimilation research. Thanks to the School of Maths at Leeds and the London Mathematical Society for providing funds.

7-12 April 2019: EGU general assembly, Vienna. One talk on DA (slides available), another on FEV (slides available -- presented by OB), and a Wetropolis poster.

11 March 2019: 'Wetropolis extreme rainfall and flood demonstrator: from mathematical design to outreach and research'. Preprint on EarthArXiv.

17 Dec. 2018: DARE project board meeting, University of Reading.

27 Sept. 2018: water@leeds annual Confluence 2018 showcasing water-related research at the University of Leeds, including lightning talk (3 mins!) on flood-excess volume (or how Wetropolis inspired a new tool for flood-mitigation assessment).

27 Sept. 2018: Data Assimilation for the REsilient city (DARE) blog published - an accessible overview on using ‘flood-excess volume’ to quantify and communicate flood mitigation schemes.

17-19 Sept. 2018: Leeds-Kyoto International Symposium: Advanced Engineering for Natural Disaster Identification, Mitigation, Prevention, and Response. Group session: 'Interdisciplinary approach to mitigate/prevent water-related disasters', with short presentation. See also poster presentation, prepared for 'Evidence-Based Decisions for UK Landscapes' in Cambridge.

Aug. 2018: official start as a research fellow (0.5FTE), funded through the DARE project, focussing on aspects of flood modelling and dynamic control strategies.

15 June 2018: Yorkshire iCASP Confluence 2018 at Brewery Wharf in Leeds, with Wetropolis in action.

8-10 Jan. 2018: Maths Foresees: mitigating severe environmental events. Final general assembly, University of Leeds.

Jan. 2018: return to Leeds as a teaching assistant (0.5FTE) in the School of Maths.

June - Dec. 2017: seven months on the road in the UK, Europe, and NZ.

July 2017: Paper accepted for publication in Tellus A: Dynamical Meteorology and Oceanography.

31 May 2017: GitHub page: an idealised convective-scale forecast-assimilation framework. Source code is live and working... use with care, comments welcome, and more updates expected in the future!

16 May 2017: PhD thesis, 'An idealised fluid model of Numerical Weather Prediction: dynamics and data assimilation', published online here.

3-6 April 2017: Environmental Modelling in Industry Study Group at the Isaac Newton Institute, Cambridge. Organised by Maths Foresees. I provided a 'live' report from the event.

20-24 March 2017: research visit to Sebastian Reich's group at the Mathematics Institute, University of Potsdam. Invited seminar here and at the FU Berlin - slides available.

3 March 2017: viva passed!

28 Jan. 2017: Flood recovery and resilience conference, Bilsborrow (near Preston; organised by the Churchtown Flood Action Group). Wetropolis talk and demonstration.

6 Jan. 2017: 'Dynamics of Rotating Fluids' meeting, UCL.

21 Dec. 2016: thesis submitted!!

14 Nov. 2016: Wetropolis all-day demonstration in School of Maths.

3-11 Nov. 2016: research visit to the Met Office, including invited 'Weather Science' seminar.

2 Nov. 2016: Invited seminar at DARC, University of Reading.

5-7 Sept. 2016: Maths Foresees general assembly, Edinburgh. Wetropolis makes its debut (accompanying presentation).

18-22 July 2016: 'International Symposium on Data Assimilation' at the University of Reading. Abstract accepted for poster.

8 May 2016: 'The Science of Floods', Hebden Bridge. Public event organised by Pennine Prospects and contribution from Maths Foresees.

January/February 2016: 3 week visit to the 'Data Assimilation and Ensembles' group at the Met Office. Presented latest work in the 'Data Assimilation Methods' group science meeting.

Oct.-Dec. 2015: Broken ankle!

1-5 June 2015: 'Workshop on Sensitivity Analysis and Data Assimilation in Meteorology and Oceanography' (a.k.a. '10th Adjoint Workshop'), West Virginia, USA.

18-20 May 2015: 'Maths Foresees': mitigating severe environmental events. First general assembly, University of Leeds.

12-17 April 2015: EGU General Assembly, Vienna, Austria. Abstract pdf here

5 March 2015: Fluids seminar, Applied Maths, Leeds.

January/February 2015: 3 week visit to the 'Data Assimilation and Ensembles' group at the Met Office. Including 'Met Office Academic Partnership' poster session on 12th February.

15-19 September 2014: Summer school on 'Data Assimilation in environmental sciences' at the University of Reading.

Sept. 2014: Paper published in Journal of Climate.

August/September 2014: 3 week visit to the 'Data Assimilation and Ensembles' group at the Met Office.

14-18 July 2014: CliMathNet conference 2014. Program here.

12-14 May 2014: Reading-Warwick Data Assimilation meeting, University of Warwick. Program here.

30 April 2014: Applied PG Seminar, School of Maths, Leeds. Title: 'Data Assimilation and Numerical Weather Prediction.'

24-28 Feb. 2014: 'International Symposium on Data Assimilation' at LMU, Munich. Here is my poster.

2-6 December 2013: Partial Differential Equations and Geophysical Fluid Dynamics workshop, Isaac Newton Institute for Mathematical Sciences, Cambridge. Program here.


Teaching and research at the Department of Applied Mathematics, University of Leeds.

Contact: t.kent[at]


Repositories under tkent198.

DA workshop

School of Maths, Leeds, 16/17 May 2019 - more info here.