Dr Graham Benham

Maths
Departmental Lecturer in Applied Mathematics

Qualifications:

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.

Publications:

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.

Hobbies:

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