Dr Graham Benham

Departmental Lecturer in Applied Mathematics


MSci, DPhil

Academic Background:

I completed my undergraduate and Masters degree in Mathematics at UCL, followed by a DPhil in Mathematics at St Anne's College, Oxford. My thesis investigated the mathematics of low-head hydropower, that is harnessing energy from small rivers and tides.

I took up postdoctoral positions at the Ecole Polytechnique in Paris, and at the Centre for Environmental and Industrial Flows at Cambridge, before returning to Oxford for a 3 year academic faculty position (Departmental Lecturer) in the Mathematical Institute.

Undergraduate Teaching: I teach applied mathematics courses to the 1st and 2nd year undergraduates at Christ Church, including Geometry, Dynamics, Constructive Mathematics, Differential Equations (1&2), Mathematical Modelling in Biology, and Quantum Theory. In the Mathematical Institute I will start lecturing Topics in Fluid Mechanics (Part C) from Michaelmas 2022.

Research Interests:

My research uses mathematical modelling to tackle problems in geoscience and the environment with important societal applications. Beyond extracting energy from rivers, I have also worked on the geological storage of carbon dioxide emissions to reduce global warming, and groundwater management for communities in dry coastal regions.

I am also passionate about the mathematics of sports, and have previously collaborated with Olympic athletes in Paris to improve performance in rowing and cycling.


GP Benham, JA Neufeld, and AW Woods. Axisymmetric gravity currents in anisotropic porous media. (submitted), 2022.

GP Benham, O Devauchelle, SW Morris, and JA Neufeld. Gunwale bobbing. (submitted), 2022.

KP Gilmore, CK Sahu, GP Benham, JA Neufeld, and MJ Bickle. Leakage dynamics of fault zones: experimental and analytical study with application to CO2 storage. J. Fluid Mech., 931, 2021.

C Harris, S Jackson, GP Benham, A Muggeridge, and S Krevor. The impact of heterogeneity on the capillary trapping of CO2 in the Captain sandstone. Int. J. Greenh. Gas Con. 112:103511, 2021.

GP Benham, MJ Bickle, and JA Neufeld. Two-phase gravity currents in layered porous media. J. Fluid Mech., 911, 2021.

T Babb, GP Benham, J Bows, R Gonzalez-Farina, KB Kiradjiev, WT Lee, and S Tibos. Predicting lift-off time when deep-frying potato dough snacks. SIAM J. Appl. Math., 81(2):574–590, 2021.

GP Benham, MJ Bickle, and JA Neufeld. Upscaling multiphase viscous-to-capillary transitions in heterogeneous porous media. J. Fluid Mech., 922, 2021.

GP Benham, R Bendimerad, M Benzaquen, and C Clanet. Hysteretic wave drag in shallow water. Phys. Rev. Fluids, 5(6):064803, 2020.

GP Benham, C Cohen, E Brunet, and C Clanet. Brachistochrone on a velodrome. Proc. R. Soc. A, 476(2238):20200153, 2020.

GP Benham, JP Boucher, R Labbé, M Benzaquen, and C Clanet. Wave drag on asymmetric bodies. J. Fluid Mech., 878:147–168, 2019.

R Mondal, GP Benham, S Mondal, P Christodoulides, N Neokleous, and K Kaouri. Modelling and optimisation of water management in sloping coastal aquifers with seepage, extraction and recharge. J. Hydrol., 571:471–484, 2019.

GP Benham, IJ Hewitt, CP Please, and PAD Bird. The effect of inner swirl on confined coaxial flow. (submitted), 2018.

GP Benham, IJ Hewitt, CP Please, and PAD Bird. Optimal control of diffuser shapes for non-uniform flow. J. Eng. Math., 113(1):65–92, 2018.

GP Benham, AA Castrejon-Pita, IJ Hewitt, CP Please, RW Style, and PAD Bird. Turbulent shear layers in confining channels. J. Turbul., 19(6):431–445, 2018.

GP Benham, K Hildal, CP Please, and RA Van Gorder. Solidification of silicon in a one-dimensional slab and a two-dimensional wedge. Int. J. Heat Mass Transf., 98:530–540, 2016.

GP Benham, K Hildal, CP Please, and RA Van Gorder. Penetration of molten silicon into a bed of fines. Int. Commun. Heat Mass Transf., 75:323–327, 2016.


I am a keen cyclist and have completed long-distance tours around Italy, Ireland and Central Asia.